%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM471+2 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:24:44 PM UTC 2026
% Result : Theorem 96.83s 15.91s
% Output : CNFRefutation 112.84s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
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,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X0] :
( sdtpldt0(xm,xn) = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
( xp = sdtsldt0(xm,xl)
& xm = sdtasdt0(xl,xp)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& aNaturalNumber0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
fof(f39,conjecture,
( sdtlseqdt0(xp,xq)
| ? [X0] :
( sdtpldt0(xp,X0) = xq
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( sdtlseqdt0(xp,xq)
| ? [X0] :
( sdtpldt0(xp,X0) = xq
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& ? [X1] :
( sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f43,plain,
( ~ sdtlseqdt0(xp,xq)
& ! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f44,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(f45,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,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f47,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f49,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f48]) ).
fof(f50,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(f51,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,[],[f50]) ).
fof(f52,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(f53,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,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f55,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(f56,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f61]) ).
fof(f63,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(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f65]) ).
fof(f67,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(f68,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,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f70,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(f71,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f74]) ).
fof(f76,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(f77,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f80]) ).
fof(f82,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(f83,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,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f91,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK1)
& aNaturalNumber0(sK1)
& doDivides0(xl,xm)
& xm = sdtasdt0(xl,sK0)
& aNaturalNumber0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f41]) ).
fof(f92,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,[],[f47]) ).
fof(f93,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,[],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK2(X0,X1)) = X1
& aNaturalNumber0(sK2(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f93]) ).
fof(f95,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,[],[f81]) ).
fof(f96,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,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1))],[f96]) ).
fof(f98,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,[],[f83]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f101,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f102,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f103,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f91]) ).
fof(f104,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f105,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f91]) ).
fof(f106,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f91]) ).
fof(f107,plain,
xm = sdtasdt0(xl,sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f108,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f109,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f110,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f111,plain,
xm = sdtasdt0(xl,xp),
inference(cnf_transformation,[],[f37]) ).
fof(f112,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f113,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f114,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cnf_transformation,[],[f38]) ).
fof(f115,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f38]) ).
fof(f116,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f43]) ).
fof(f117,plain,
! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f118,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,[],[f45]) ).
fof(f120,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,[],[f45]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK2(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f94]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK2(X0,X1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f125,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f126,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f49]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f129,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,[],[f53]) ).
fof(f130,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,[],[f53]) ).
fof(f131,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f132,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f137,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,[],[f64]) ).
fof(f139,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,[],[f64]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f68]) ).
fof(f144,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f145,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f69]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f147,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f148,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK3(X0,X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f154,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f157,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,[],[f99]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f162,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f163,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f124]) ).
fof(f164,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f153]) ).
fof(f165,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,[],[f157]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f156]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f155]) ).
tcf(c_49,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f102]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f101]) ).
tcf(c_51,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f100]) ).
tcf(c_52,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f108]) ).
tcf(c_53,plain,
sdtasdt0(xl,sK0) = xm,
inference(cnf_transformation,[],[f107]) ).
tcf(c_54,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f106]) ).
tcf(c_55,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f105]) ).
tcf(c_56,plain,
sdtasdt0(xl,sK1) = sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f104]) ).
tcf(c_57,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f103]) ).
tcf(c_58,plain,
xl != sz00,
inference(cnf_transformation,[],[f109]) ).
tcf(c_59,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f112]) ).
tcf(c_60,plain,
sdtasdt0(xl,xp) = xm,
inference(cnf_transformation,[],[f111]) ).
tcf(c_61,plain,
sdtsldt0(xm,xl) = xp,
inference(cnf_transformation,[],[f110]) ).
tcf(c_62,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f115]) ).
tcf(c_63,plain,
sdtasdt0(xl,xq) = sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f114]) ).
tcf(c_64,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnf_transformation,[],[f113]) ).
tcf(c_65,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xq ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_66,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f116]) ).
tcf(c_68,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,[],[f120]) ).
tcf(c_70,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,[],[f118]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK2(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK2(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1)) = sdtasdt0(X0,sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0)) = sdtasdt0(sdtpldt0(X2,X1),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_80,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_81,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X2),X1) = sdtpldt0(X0,sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_87,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,[],[f139]) ).
tcf(c_89,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,[],[f137]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_91,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,[],[f143]) ).
tcf(c_92,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,[],[f142]) ).
tcf(c_93,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_94,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X2),X1) = sdtasdt0(X0,sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_99,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,[],[f150]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK3(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK3(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_103,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f154]) ).
tcf(c_104,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,[],[f165]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_109,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,[],[f160]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_111,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_112,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_114,plain,
( ( sdtpldt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_121,plain,
( aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_125,plain,
( ( sz00 = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,sz00) != sz00 ) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_100,c_97,c_100]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_84,c_71]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_104,c_97,c_104,c_142]) ).
tcf(c_533,plain,
sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
inference(demodulation,[status(thm)],[c_64,c_63]) ).
tcf(c_534,plain,
doDivides0(xl,sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_57,c_63]) ).
tcf(c_535,plain,
sdtasdt0(xl,sK1) = sdtasdt0(xl,xq),
inference(light_normalisation,[status(thm)],[c_56,c_63]) ).
tcf(c_1592,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2458,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_49,c_80]) ).
tcf(c_2459,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_80]) ).
tcf(c_2460,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_51,c_80]) ).
tcf(c_2461,plain,
sdtpldt0(sK0,sz00) = sK0,
inference(superposition,[status(thm)],[c_52,c_80]) ).
tcf(c_2462,plain,
sdtpldt0(sK1,sz00) = sK1,
inference(superposition,[status(thm)],[c_55,c_80]) ).
tcf(c_2463,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_59,c_80]) ).
tcf(c_2464,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_62,c_80]) ).
tcf(c_2465,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_80]) ).
tcf(c_2470,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_49,c_81]) ).
tcf(c_2471,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_81]) ).
tcf(c_2472,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_51,c_81]) ).
tcf(c_2473,plain,
sdtpldt0(sz00,sK0) = sK0,
inference(superposition,[status(thm)],[c_52,c_81]) ).
tcf(c_2474,plain,
sdtpldt0(sz00,sK1) = sK1,
inference(superposition,[status(thm)],[c_55,c_81]) ).
tcf(c_2475,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_59,c_81]) ).
tcf(c_2476,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_62,c_81]) ).
tcf(c_2482,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_93]) ).
tcf(c_2483,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_93]) ).
tcf(c_2484,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_93]) ).
tcf(c_2485,plain,
sdtasdt0(sK0,sz00) = sz00,
inference(superposition,[status(thm)],[c_52,c_93]) ).
tcf(c_2486,plain,
sdtasdt0(sK1,sz00) = sz00,
inference(superposition,[status(thm)],[c_55,c_93]) ).
tcf(c_2487,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_59,c_93]) ).
tcf(c_2488,plain,
sdtasdt0(xq,sz00) = sz00,
inference(superposition,[status(thm)],[c_62,c_93]) ).
tcf(c_2489,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_93]) ).
tcf(c_2494,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_2495,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_2496,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_51,c_94]) ).
tcf(c_2497,plain,
sdtasdt0(sz00,sK0) = sz00,
inference(superposition,[status(thm)],[c_52,c_94]) ).
tcf(c_2498,plain,
sdtasdt0(sz00,sK1) = sz00,
inference(superposition,[status(thm)],[c_55,c_94]) ).
tcf(c_2499,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_59,c_94]) ).
tcf(c_2500,plain,
sdtasdt0(sz00,xq) = sz00,
inference(superposition,[status(thm)],[c_62,c_94]) ).
tcf(c_2508,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_63,c_84]) ).
tcf(c_2514,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_94]) ).
tcf(c_2515,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_93]) ).
tcf(c_2516,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_81]) ).
tcf(c_2517,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_80]) ).
tcf(c_2518,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_2508,c_51,c_50]) ).
tcf(c_2535,plain,
sdtasdt0(sz00,sdtasdt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_2518,c_94]) ).
tcf(c_2536,plain,
sdtasdt0(sdtasdt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_2518,c_93]) ).
tcf(c_2537,plain,
sdtpldt0(sz00,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_2518,c_81]) ).
tcf(c_2538,plain,
sdtpldt0(sdtasdt0(xl,xq),sz00) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_2518,c_80]) ).
tcf(c_2539,plain,
( ~ aNaturalNumber0(sz00)
| ( xp != xq ) ),
inference(superposition,[status(thm)],[c_2463,c_65]) ).
tcf(c_2541,plain,
xp != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_2539,c_103]) ).
tcf(c_2561,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_94]) ).
tcf(c_2562,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_93]) ).
tcf(c_2563,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_81]) ).
tcf(c_2564,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_80]) ).
tcf(c_2590,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2487,c_142]) ).
tcf(c_2591,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2590,c_59,c_103]) ).
tcf(c_2598,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_63,c_145]) ).
tcf(c_2599,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2465,c_145]) ).
tcf(c_2600,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2463,c_145]) ).
tcf(c_2601,plain,
( sdtlseqdt0(xl,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2458,c_145]) ).
tcf(c_2602,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2459,c_145]) ).
tcf(c_2603,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2460,c_145]) ).
tcf(c_2604,plain,
( sdtlseqdt0(sK0,sK0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_2461,c_145]) ).
tcf(c_2605,plain,
( sdtlseqdt0(sK1,sK1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_2462,c_145]) ).
tcf(c_2606,plain,
( sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2464,c_145]) ).
tcf(c_2607,plain,
( sdtlseqdt0(sz00,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2470,c_145]) ).
tcf(c_2608,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2471,c_145]) ).
tcf(c_2609,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2472,c_145]) ).
tcf(c_2610,plain,
( sdtlseqdt0(sz00,sK0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_2473,c_145]) ).
tcf(c_2611,plain,
( sdtlseqdt0(sz00,sK1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_2474,c_145]) ).
tcf(c_2612,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2475,c_145]) ).
tcf(c_2613,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2476,c_145]) ).
tcf(c_2614,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2599,c_103]) ).
tcf(c_2615,plain,
sdtlseqdt0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_2613,c_62,c_103]) ).
tcf(c_2616,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_2612,c_59,c_103]) ).
tcf(c_2617,plain,
sdtlseqdt0(sz00,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_2611,c_103,c_55]) ).
tcf(c_2618,plain,
sdtlseqdt0(sz00,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_2610,c_103,c_52]) ).
tcf(c_2619,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_2609,c_103,c_51]) ).
tcf(c_2620,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_2608,c_103,c_50]) ).
tcf(c_2621,plain,
sdtlseqdt0(sz00,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_2607,c_103,c_49]) ).
tcf(c_2622,plain,
sdtlseqdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_2606,c_62,c_103]) ).
tcf(c_2623,plain,
sdtlseqdt0(sK1,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_2605,c_103,c_55]) ).
tcf(c_2624,plain,
sdtlseqdt0(sK0,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_2604,c_103,c_52]) ).
tcf(c_2625,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_2603,c_103,c_51]) ).
tcf(c_2626,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_2602,c_103,c_50]) ).
tcf(c_2627,plain,
sdtlseqdt0(xl,xl),
inference(forward_subsumption_resolution,[status(thm)],[c_2601,c_103,c_49]) ).
tcf(c_2628,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_2600,c_59,c_103]) ).
tcf(c_2629,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_2598,c_51,c_50]) ).
tcf(c_2645,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_108,c_66]) ).
tcf(c_2649,plain,
sdtlseqdt0(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_2645,c_62,c_59]) ).
tcf(c_2654,plain,
( doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2488,c_142]) ).
tcf(c_2656,plain,
doDivides0(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2654,c_62,c_103]) ).
tcf(c_2665,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK2(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
tcf(c_2666,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_93]) ).
tcf(c_2667,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK2(X0,X1)) = sK2(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_81]) ).
tcf(c_2668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),sz00) = sK2(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_80]) ).
tcf(c_2699,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_83]) ).
tcf(c_2700,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_83]) ).
tcf(c_2701,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_83]) ).
tcf(c_2702,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0) = sdtpldt0(sK0,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_83]) ).
tcf(c_2703,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55,c_83]) ).
tcf(c_2704,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_83]) ).
tcf(c_2705,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_83]) ).
tcf(c_2706,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_84,c_83]) ).
tcf(c_2707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK2(X0,X1),X2) = sdtpldt0(X2,sK2(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_83]) ).
tcf(c_2708,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_97,c_83]) ).
tcf(c_2709,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_83]) ).
tcf(c_2710,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xq),X0) = sdtpldt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2518,c_83]) ).
tcf(c_2752,plain,
! [X0: $i] :
( aNaturalNumber0(sdtsldt0(X0,xl))
| ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xl,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2753,plain,
( aNaturalNumber0(sdtsldt0(sz00,xl))
| ( xl = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,sz00) ),
inference(instantiation,[status(thm)],[c_2752]) ).
tcf(c_2775,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_96]) ).
tcf(c_2776,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_96]) ).
tcf(c_2777,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_96]) ).
tcf(c_2778,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK0) = sdtasdt0(sK0,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_96]) ).
tcf(c_2779,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK1) = sdtasdt0(sK1,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55,c_96]) ).
tcf(c_2780,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_96]) ).
tcf(c_2781,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xq) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_96]) ).
tcf(c_2782,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_84,c_96]) ).
tcf(c_2783,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK2(X0,X1),X2) = sdtasdt0(X2,sK2(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_96]) ).
tcf(c_2784,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_97,c_96]) ).
tcf(c_2785,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_96]) ).
tcf(c_2786,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xq),X0) = sdtasdt0(X0,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2518,c_96]) ).
tcf(c_2851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK3(X0,X1),X2) = sdtasdt0(X2,sK3(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_96]) ).
tcf(c_2852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK3(X0,X1),X2) = sdtpldt0(X2,sK3(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_83]) ).
tcf(c_2853,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK3(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_94]) ).
tcf(c_2854,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_93]) ).
tcf(c_2855,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK3(X0,X1)) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_81]) ).
tcf(c_2856,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),sz00) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_80]) ).
tcf(c_2888,plain,
! [X0: $i] :
( sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2889,plain,
( sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(sz00,xq) ),
inference(instantiation,[status(thm)],[c_2888]) ).
tcf(c_2899,plain,
( doDivides0(xl,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2482,c_142]) ).
tcf(c_2901,plain,
doDivides0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2899,c_103,c_49]) ).
tcf(c_2902,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2483,c_142]) ).
tcf(c_2904,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2902,c_103,c_50]) ).
tcf(c_2905,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2484,c_142]) ).
tcf(c_2907,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2905,c_103,c_51]) ).
tcf(c_2908,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2499,c_142]) ).
tcf(c_2910,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2908,c_59,c_103]) ).
tcf(c_2923,plain,
( sdtlseqdt0(xl,xm)
| ( sK0 = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_53,c_85]) ).
tcf(c_2924,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_535,c_85]) ).
tcf(c_2925,plain,
( sdtlseqdt0(xl,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60,c_85]) ).
tcf(c_2932,plain,
( sdtlseqdt0(xl,xm)
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2925,c_59,c_49]) ).
tcf(c_2935,plain,
( sdtlseqdt0(xl,xm)
| ( sK0 = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2923,c_52,c_49]) ).
tcf(c_2938,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sK1 = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2924,c_55,c_49]) ).
tcf(c_2953,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_63,c_74]) ).
tcf(c_2969,plain,
( ( xm = sz00 )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2953,c_51,c_50]) ).
tcf(c_2980,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_63,c_75]) ).
tcf(c_2996,plain,
( ( xn = sz00 )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2980,c_51,c_50]) ).
tcf(c_3007,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK2(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_73]) ).
tcf(c_3008,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK2(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_145,c_73]) ).
tcf(c_3009,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK2(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_73]) ).
tcf(c_3010,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK2(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_73]) ).
tcf(c_3011,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK2(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_73]) ).
tcf(c_3012,plain,
( ( sdtpldt0(sz00,sK2(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2614,c_73]) ).
tcf(c_3013,plain,
( ( sdtpldt0(xm,sK2(xm,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2629,c_73]) ).
tcf(c_3014,plain,
( ( sdtpldt0(xp,sK2(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_2628,c_73]) ).
tcf(c_3015,plain,
( ( sdtpldt0(xl,sK2(xl,xl)) = xl )
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2627,c_73]) ).
tcf(c_3016,plain,
( ( sdtpldt0(xm,sK2(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2626,c_73]) ).
tcf(c_3017,plain,
( ( sdtpldt0(xn,sK2(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2625,c_73]) ).
tcf(c_3018,plain,
( ( sdtpldt0(sK0,sK2(sK0,sK0)) = sK0 )
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_2624,c_73]) ).
tcf(c_3019,plain,
( ( sdtpldt0(sK1,sK2(sK1,sK1)) = sK1 )
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_2623,c_73]) ).
tcf(c_3020,plain,
( ( sdtpldt0(xq,sK2(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_2622,c_73]) ).
tcf(c_3021,plain,
( ( sdtpldt0(sz00,sK2(sz00,xl)) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2621,c_73]) ).
tcf(c_3022,plain,
( ( sdtpldt0(sz00,sK2(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2620,c_73]) ).
tcf(c_3023,plain,
( ( sdtpldt0(sz00,sK2(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2619,c_73]) ).
tcf(c_3024,plain,
( ( sdtpldt0(sz00,sK2(sz00,sK0)) = sK0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_2618,c_73]) ).
tcf(c_3025,plain,
( ( sdtpldt0(sz00,sK2(sz00,sK1)) = sK1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_2617,c_73]) ).
tcf(c_3026,plain,
( ( sdtpldt0(sz00,sK2(sz00,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2616,c_73]) ).
tcf(c_3027,plain,
( ( sdtpldt0(sz00,sK2(sz00,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2615,c_73]) ).
tcf(c_3028,plain,
( ( sdtpldt0(xq,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_2649,c_73]) ).
tcf(c_3029,plain,
sdtpldt0(xq,sK2(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_3020,c_62]) ).
tcf(c_3030,plain,
sdtpldt0(sK1,sK2(sK1,sK1)) = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_3019,c_55]) ).
tcf(c_3031,plain,
sdtpldt0(sK0,sK2(sK0,sK0)) = sK0,
inference(forward_subsumption_resolution,[status(thm)],[c_3018,c_52]) ).
tcf(c_3032,plain,
sdtpldt0(xn,sK2(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_3017,c_51]) ).
tcf(c_3033,plain,
sdtpldt0(xm,sK2(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_3016,c_50]) ).
tcf(c_3034,plain,
sdtpldt0(xl,sK2(xl,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_3015,c_49]) ).
tcf(c_3035,plain,
sdtpldt0(xp,sK2(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_3014,c_59]) ).
tcf(c_3036,plain,
sdtpldt0(sz00,sK2(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3012,c_103]) ).
tcf(c_3039,plain,
sdtpldt0(xq,sK2(xq,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_3028,c_62,c_59]) ).
tcf(c_3040,plain,
sdtpldt0(sz00,sK2(sz00,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_3027,c_62,c_103]) ).
tcf(c_3041,plain,
sdtpldt0(sz00,sK2(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_3026,c_59,c_103]) ).
tcf(c_3042,plain,
sdtpldt0(sz00,sK2(sz00,sK1)) = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_3025,c_103,c_55]) ).
tcf(c_3043,plain,
sdtpldt0(sz00,sK2(sz00,sK0)) = sK0,
inference(forward_subsumption_resolution,[status(thm)],[c_3024,c_103,c_52]) ).
tcf(c_3044,plain,
sdtpldt0(sz00,sK2(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_3023,c_103,c_51]) ).
tcf(c_3045,plain,
sdtpldt0(sz00,sK2(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_3022,c_103,c_50]) ).
tcf(c_3046,plain,
sdtpldt0(sz00,sK2(sz00,xl)) = xl,
inference(forward_subsumption_resolution,[status(thm)],[c_3021,c_103,c_49]) ).
tcf(c_3055,plain,
sdtpldt0(xm,sK2(xm,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_3013,c_50,c_2518]) ).
tcf(c_3068,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_3069,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X2,X1)
| ( xp != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1600]) ).
tcf(c_3070,plain,
( sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ( xp != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_3069]) ).
tcf(c_3073,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_3104,plain,
( doDivides0(sK0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_2485,c_142]) ).
tcf(c_3107,plain,
doDivides0(sK0,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3104,c_103,c_52]) ).
tcf(c_3108,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_3039,c_75]) ).
tcf(c_3109,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_3039,c_74]) ).
tcf(c_3112,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3109,c_62]) ).
tcf(c_3116,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3108,c_62]) ).
tcf(c_3132,plain,
( doDivides0(sK1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_2486,c_142]) ).
tcf(c_3135,plain,
doDivides0(sK1,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3132,c_103,c_55]) ).
tcf(c_3156,plain,
( ( sdtasdt0(xl,sK3(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_54,c_102]) ).
tcf(c_3157,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK3(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_142,c_102]) ).
tcf(c_3158,plain,
( ( sdtasdt0(sz00,sK3(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2910,c_102]) ).
tcf(c_3159,plain,
( ( sdtasdt0(xl,sK3(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_534,c_102]) ).
tcf(c_3160,plain,
( ( sdtasdt0(xp,sK3(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2591,c_102]) ).
tcf(c_3161,plain,
( ( sdtasdt0(xq,sK3(xq,sz00)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2656,c_102]) ).
tcf(c_3162,plain,
( ( sdtasdt0(xl,sK3(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2901,c_102]) ).
tcf(c_3163,plain,
( ( sdtasdt0(xm,sK3(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2904,c_102]) ).
tcf(c_3164,plain,
( ( sdtasdt0(xn,sK3(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2907,c_102]) ).
tcf(c_3165,plain,
( ( sdtasdt0(sK0,sK3(sK0,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_3107,c_102]) ).
tcf(c_3166,plain,
( ( sdtasdt0(sK1,sK3(sK1,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_3135,c_102]) ).
tcf(c_3167,plain,
sdtasdt0(sz00,sK3(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3158,c_103]) ).
tcf(c_3168,plain,
sdtasdt0(sK1,sK3(sK1,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3166,c_103,c_55]) ).
tcf(c_3169,plain,
sdtasdt0(sK0,sK3(sK0,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3165,c_103,c_52]) ).
tcf(c_3170,plain,
sdtasdt0(xn,sK3(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3164,c_103,c_51]) ).
tcf(c_3171,plain,
sdtasdt0(xm,sK3(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3163,c_103,c_50]) ).
tcf(c_3172,plain,
sdtasdt0(xl,sK3(xl,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3162,c_103,c_49]) ).
tcf(c_3173,plain,
sdtasdt0(xq,sK3(xq,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3161,c_62,c_103]) ).
tcf(c_3174,plain,
sdtasdt0(xp,sK3(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3160,c_59,c_103]) ).
tcf(c_3175,plain,
sdtasdt0(xl,sK3(xl,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_3156,c_50,c_49]) ).
tcf(c_3176,plain,
sdtasdt0(xl,sK3(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_3159,c_49,c_2518]) ).
tcf(c_3184,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3198,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_3201,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_3202,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(X0,xp))
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_3208,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(xp,sz00) ),
inference(instantiation,[status(thm)],[c_3198]) ).
tcf(c_3212,plain,
xp = xp,
inference(instantiation,[status(thm)],[c_1592]) ).
tcf(c_3214,plain,
! [X0: $i,X1: $i] :
( ( xp = X0 )
| ( xp != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1594]) ).
tcf(c_3227,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_105,c_96]) ).
tcf(c_3228,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_105,c_83]) ).
tcf(c_3229,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_105,c_94]) ).
tcf(c_3230,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_105,c_93]) ).
tcf(c_3231,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_105,c_81]) ).
tcf(c_3232,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_105,c_80]) ).
tcf(c_3276,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_145,c_110]) ).
tcf(c_3277,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_85,c_110]) ).
tcf(c_3281,plain,
( ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(superposition,[status(thm)],[c_2629,c_110]) ).
tcf(c_3289,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00) ),
inference(superposition,[status(thm)],[c_2621,c_110]) ).
tcf(c_3290,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_2620,c_110]) ).
tcf(c_3291,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_2619,c_110]) ).
tcf(c_3292,plain,
( ( sK0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00) ),
inference(superposition,[status(thm)],[c_2618,c_110]) ).
tcf(c_3293,plain,
( ( sK1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00) ),
inference(superposition,[status(thm)],[c_2617,c_110]) ).
tcf(c_3294,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_2616,c_110]) ).
tcf(c_3295,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00) ),
inference(superposition,[status(thm)],[c_2615,c_110]) ).
tcf(c_3297,plain,
( ( sz00 = xq )
| ~ sdtlseqdt0(xq,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3295,c_62,c_103]) ).
tcf(c_3300,plain,
( ( sz00 = xp )
| ~ sdtlseqdt0(xp,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3294,c_59,c_103]) ).
tcf(c_3303,plain,
( ( sK1 = sz00 )
| ~ sdtlseqdt0(sK1,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3293,c_103,c_55]) ).
tcf(c_3306,plain,
( ( sK0 = sz00 )
| ~ sdtlseqdt0(sK0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3292,c_103,c_52]) ).
tcf(c_3309,plain,
( ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3291,c_103,c_51]) ).
tcf(c_3312,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3290,c_103,c_50]) ).
tcf(c_3315,plain,
~ sdtlseqdt0(xl,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3289,c_58,c_103,c_49]) ).
tcf(c_3316,plain,
( ( sdtasdt0(xl,xq) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3281,c_50,c_2518]) ).
tcf(c_3338,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_152]) ).
tcf(c_3339,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_152]) ).
tcf(c_3340,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_152]) ).
tcf(c_3341,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( sdtsldt0(sdtasdt0(sK0,X0),sK0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_152]) ).
tcf(c_3342,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( sdtsldt0(sdtasdt0(sK1,X0),sK1) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55,c_152]) ).
tcf(c_3343,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_152]) ).
tcf(c_3344,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sdtasdt0(xq,X0),xq) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_152]) ).
tcf(c_3345,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_84,c_152]) ).
tcf(c_3346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK2(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK2(X0,X1),X2),sK2(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_152]) ).
tcf(c_3347,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_97,c_152]) ).
tcf(c_3348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK3(X0,X1),X2),sK3(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_152]) ).
tcf(c_3350,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_105,c_152]) ).
tcf(c_3351,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2518,c_152]) ).
tcf(c_3370,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3338,c_58]) ).
tcf(c_3444,plain,
( ( sz00 = xp )
| ( xl = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(superposition,[status(thm)],[c_2932,c_110]) ).
tcf(c_3445,plain,
( ( sz00 = xp )
| ( sdtpldt0(xl,sK2(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2932,c_73]) ).
tcf(c_3446,plain,
( ( sz00 = xp )
| ( sdtpldt0(xl,sK2(xl,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3445,c_50,c_49]) ).
tcf(c_3449,plain,
( ( sz00 = xp )
| ( xl = xm )
| ~ sdtlseqdt0(xm,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3444,c_50,c_49]) ).
tcf(c_3457,plain,
( ( sK0 = sz00 )
| ( xl = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(superposition,[status(thm)],[c_2935,c_110]) ).
tcf(c_3458,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(xl,sK2(xl,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2935,c_73]) ).
tcf(c_3459,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(xl,sK2(xl,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3458,c_50,c_49]) ).
tcf(c_3462,plain,
( ( sK0 = sz00 )
| ( xl = xm )
| ~ sdtlseqdt0(xm,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3457,c_50,c_49]) ).
tcf(c_3485,plain,
( doDivides0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2536,c_142]) ).
tcf(c_3488,plain,
doDivides0(sdtasdt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_3485,c_103,c_2518]) ).
tcf(c_3489,plain,
( ( sdtasdt0(sdtasdt0(xl,xq),sK3(sdtasdt0(xl,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3488,c_102]) ).
tcf(c_3490,plain,
sdtasdt0(sdtasdt0(xl,xq),sK3(sdtasdt0(xl,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3489,c_103,c_2518]) ).
tcf(c_3491,plain,
( ( sK2(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_3029,c_75]) ).
tcf(c_3495,plain,
( ( sK2(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3491,c_62]) ).
tcf(c_3499,plain,
( ( sK2(sK1,sK1) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ( sK1 != sz00 ) ),
inference(superposition,[status(thm)],[c_3030,c_75]) ).
tcf(c_3503,plain,
( ( sK2(sK1,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ( sK1 != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3499,c_55]) ).
tcf(c_3507,plain,
( ( sK2(sK0,sK0) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ( sK0 != sz00 ) ),
inference(superposition,[status(thm)],[c_3031,c_75]) ).
tcf(c_3511,plain,
( ( sK2(sK0,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ( sK0 != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3507,c_52]) ).
tcf(c_3533,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2537,c_145]) ).
tcf(c_3535,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_3533,c_103,c_2518]) ).
tcf(c_3548,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_3549,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_142,c_99]) ).
tcf(c_3551,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_534,c_99]) ).
tcf(c_3552,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2591,c_99]) ).
tcf(c_3553,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2656,c_99]) ).
tcf(c_3554,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2901,c_99]) ).
tcf(c_3555,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2904,c_99]) ).
tcf(c_3556,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2907,c_99]) ).
tcf(c_3557,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_3107,c_99]) ).
tcf(c_3558,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_3135,c_99]) ).
tcf(c_3559,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3488,c_99]) ).
tcf(c_3560,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3558,c_103,c_55]) ).
tcf(c_3564,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3557,c_103,c_52]) ).
tcf(c_3568,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3556,c_103,c_51]) ).
tcf(c_3572,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3555,c_103,c_50]) ).
tcf(c_3576,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3554,c_103,c_49]) ).
tcf(c_3580,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3553,c_62,c_103]) ).
tcf(c_3584,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3552,c_59,c_103]) ).
tcf(c_3588,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3548,c_50,c_49]) ).
tcf(c_3592,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3559,c_103,c_2518]) ).
tcf(c_3596,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3551,c_49,c_2518]) ).
tcf(c_3625,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_145,c_109]) ).
tcf(c_3626,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_109]) ).
tcf(c_3628,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_108,c_109]) ).
tcf(c_3630,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2629,c_109]) ).
tcf(c_3638,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2621,c_109]) ).
tcf(c_3639,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2620,c_109]) ).
tcf(c_3640,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2619,c_109]) ).
tcf(c_3641,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2618,c_109]) ).
tcf(c_3642,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2617,c_109]) ).
tcf(c_3643,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2616,c_109]) ).
tcf(c_3644,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2615,c_109]) ).
tcf(c_3645,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_2649,c_109]) ).
tcf(c_3646,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_2935,c_109]) ).
tcf(c_3647,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_2932,c_109]) ).
tcf(c_3648,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3645,c_62,c_59]) ).
tcf(c_3652,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3644,c_62,c_103]) ).
tcf(c_3656,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3643,c_59,c_103]) ).
tcf(c_3660,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3642,c_103,c_55]) ).
tcf(c_3664,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3641,c_103,c_52]) ).
tcf(c_3668,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3640,c_103,c_51]) ).
tcf(c_3672,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3639,c_103,c_50]) ).
tcf(c_3676,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3638,c_103,c_49]) ).
tcf(c_3686,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sz00 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3647,c_50,c_49]) ).
tcf(c_3691,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3646,c_50,c_49]) ).
tcf(c_3696,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3630,c_50,c_2518]) ).
tcf(c_3758,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xl,X1),X0) = sdtpldt0(xl,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
tcf(c_3759,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X1),X0) = sdtpldt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_82]) ).
tcf(c_3760,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X1),X0) = sdtpldt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_82]) ).
tcf(c_3761,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK0,X1),X0) = sdtpldt0(sK0,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_3762,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK1,X1),X0) = sdtpldt0(sK1,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55,c_82]) ).
tcf(c_3763,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X1),X0) = sdtpldt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_82]) ).
tcf(c_3764,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xq,X1),X0) = sdtpldt0(xq,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_82]) ).
tcf(c_3765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X3),X2) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_82]) ).
tcf(c_3766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK2(X0,X1),X3),X2) = sdtpldt0(sK2(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_82]) ).
tcf(c_3767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X3),X2) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_82]) ).
tcf(c_3768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK3(X0,X1),X3),X2) = sdtpldt0(sK3(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_82]) ).
tcf(c_3769,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X1),X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_82]) ).
tcf(c_3770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X3),X2) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_82]) ).
tcf(c_3771,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xq),X1),X0) = sdtpldt0(sdtasdt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2518,c_82]) ).
tcf(c_3862,plain,
( ( sK0 = sz00 )
| ( xl = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_53,c_90]) ).
tcf(c_3863,plain,
( ( sK1 = sz00 )
| ( xl = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_535,c_90]) ).
tcf(c_3864,plain,
( ( sz00 = xp )
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_60,c_90]) ).
tcf(c_3882,plain,
( ( sz00 = xp )
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3864,c_58,c_59,c_49]) ).
tcf(c_3885,plain,
( ( sK0 = sz00 )
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3862,c_58,c_52,c_49]) ).
tcf(c_3888,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3863,c_58,c_55,c_49]) ).
tcf(c_3891,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3535,c_109]) ).
tcf(c_3892,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_3535,c_110]) ).
tcf(c_3893,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3535,c_73]) ).
tcf(c_3894,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_3893,c_103,c_2518]) ).
tcf(c_3895,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3892,c_103,c_2518]) ).
tcf(c_3898,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3891,c_103,c_2518]) ).
tcf(c_3902,plain,
( ( sK2(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xn,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_3032,c_75]) ).
tcf(c_3906,plain,
( ( sK2(xn,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xn,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3902,c_51]) ).
tcf(c_3921,plain,
( ( sK2(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xm,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_3033,c_75]) ).
tcf(c_3925,plain,
( ( sK2(xm,xm) = sz00 )
| ~ aNaturalNumber0(sK2(xm,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3921,c_50]) ).
tcf(c_3941,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3648]) ).
tcf(c_3944,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3941,c_62]) ).
tcf(c_3954,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_3944,c_109]) ).
tcf(c_3955,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_3944,c_110]) ).
tcf(c_3956,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3944,c_73]) ).
tcf(c_3958,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3944,c_109]) ).
tcf(c_3959,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_3944,c_110]) ).
tcf(c_3960,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3944,c_73]) ).
tcf(c_3961,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3960,c_59]) ).
tcf(c_3965,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3959,c_59]) ).
tcf(c_3970,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3956,c_62]) ).
tcf(c_3974,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3955,c_62]) ).
tcf(c_3979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3958,c_59]) ).
tcf(c_3985,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3954,c_62]) ).
tcf(c_4000,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_59,c_93]) ).
tcf(c_4009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK2(X1,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_3961,c_109]) ).
tcf(c_4010,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_3961,c_110]) ).
tcf(c_4011,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3961,c_73]) ).
tcf(c_4013,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4011,c_62]) ).
tcf(c_4017,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4010,c_62]) ).
tcf(c_4022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK2(X1,xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4009,c_62]) ).
tcf(c_4037,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xp,X0))
| ( sdtpldt0(xp,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_145,c_3965]) ).
tcf(c_4038,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_85,c_3965]) ).
tcf(c_4040,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3965]) ).
tcf(c_4043,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4040,c_59]) ).
tcf(c_4048,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xp,X0))
| ( sdtpldt0(xp,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4037,c_59]) ).
tcf(c_4053,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4038,c_59]) ).
tcf(c_4067,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,X1)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3970,c_109]) ).
tcf(c_4068,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_3970,c_110]) ).
tcf(c_4069,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3970,c_73]) ).
tcf(c_4072,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4068,c_59]) ).
tcf(c_4077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4067,c_59]) ).
tcf(c_4095,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3979]) ).
tcf(c_4096,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_145,c_3979]) ).
tcf(c_4097,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_3979]) ).
tcf(c_4099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3979]) ).
tcf(c_4101,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2629,c_3979]) ).
tcf(c_4103,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2627,c_3979]) ).
tcf(c_4104,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2626,c_3979]) ).
tcf(c_4105,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2625,c_3979]) ).
tcf(c_4106,plain,
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sK0,xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_2624,c_3979]) ).
tcf(c_4107,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_2623,c_3979]) ).
tcf(c_4117,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ( sK0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2935,c_3979]) ).
tcf(c_4118,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ( sz00 = xp )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2932,c_3979]) ).
tcf(c_4124,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4107,c_55]) ).
tcf(c_4127,plain,
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sK0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4106,c_52]) ).
tcf(c_4130,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4105,c_51]) ).
tcf(c_4133,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xm,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4104,c_50]) ).
tcf(c_4136,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4103,c_49]) ).
tcf(c_4149,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4118,c_50,c_49]) ).
tcf(c_4153,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ( sK0 = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4117,c_50,c_49]) ).
tcf(c_4157,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4101,c_50,c_2518]) ).
tcf(c_4211,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3985]) ).
tcf(c_4213,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2615,c_3985]) ).
tcf(c_4216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4213,c_103]) ).
tcf(c_4223,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2538,c_145]) ).
tcf(c_4225,plain,
sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_4223,c_103,c_2518]) ).
tcf(c_4234,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,X1),X0) = sdtasdt0(xl,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_95]) ).
tcf(c_4235,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X1),X0) = sdtasdt0(xm,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_95]) ).
tcf(c_4236,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X1),X0) = sdtasdt0(xn,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_95]) ).
tcf(c_4237,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK0,X1),X0) = sdtasdt0(sK0,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_4238,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK1,X1),X0) = sdtasdt0(sK1,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55,c_95]) ).
tcf(c_4239,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X1),X0) = sdtasdt0(xp,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_95]) ).
tcf(c_4240,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xq,X1),X0) = sdtasdt0(xq,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_95]) ).
tcf(c_4241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X3),X2) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_95]) ).
tcf(c_4242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK2(X0,X1),X3),X2) = sdtasdt0(sK2(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_95]) ).
tcf(c_4243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X3),X2) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_95]) ).
tcf(c_4244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK3(X0,X1),X3),X2) = sdtasdt0(sK3(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_95]) ).
tcf(c_4245,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X1),X0) = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_95]) ).
tcf(c_4246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X3),X2) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_95]) ).
tcf(c_4247,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xq),X1),X0) = sdtasdt0(sdtasdt0(xl,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2518,c_95]) ).
tcf(c_4363,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_63,c_76]) ).
tcf(c_4364,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2465,c_76]) ).
tcf(c_4365,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_2463,c_76]) ).
tcf(c_4366,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_2458,c_76]) ).
tcf(c_4367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_2459,c_76]) ).
tcf(c_4368,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_2460,c_76]) ).
tcf(c_4369,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sK0 ) ),
inference(superposition,[status(thm)],[c_2461,c_76]) ).
tcf(c_4370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sK1 ) ),
inference(superposition,[status(thm)],[c_2462,c_76]) ).
tcf(c_4371,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_2464,c_76]) ).
tcf(c_4372,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_2470,c_76]) ).
tcf(c_4373,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_2471,c_76]) ).
tcf(c_4374,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_2472,c_76]) ).
tcf(c_4375,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK0 ) ),
inference(superposition,[status(thm)],[c_2473,c_76]) ).
tcf(c_4376,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK1 ) ),
inference(superposition,[status(thm)],[c_2474,c_76]) ).
tcf(c_4377,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_2475,c_76]) ).
tcf(c_4378,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_2476,c_76]) ).
tcf(c_4379,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_2537,c_76]) ).
tcf(c_4380,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_2538,c_76]) ).
tcf(c_4381,plain,
! [X0: $i] :
( ( sK2(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_3034,c_76]) ).
tcf(c_4382,plain,
! [X0: $i] :
( ( sK2(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_3033,c_76]) ).
tcf(c_4383,plain,
! [X0: $i] :
( ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_3032,c_76]) ).
tcf(c_4384,plain,
! [X0: $i] :
( ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ( sdtpldt0(sK0,X0) != sK0 ) ),
inference(superposition,[status(thm)],[c_3031,c_76]) ).
tcf(c_4385,plain,
! [X0: $i] :
( ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ( sdtpldt0(sK1,X0) != sK1 ) ),
inference(superposition,[status(thm)],[c_3030,c_76]) ).
tcf(c_4386,plain,
! [X0: $i] :
( ( sK2(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_3029,c_76]) ).
tcf(c_4387,plain,
! [X0: $i] :
( ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xq,X0) != xp ) ),
inference(superposition,[status(thm)],[c_3039,c_76]) ).
tcf(c_4389,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4364,c_103]) ).
tcf(c_4393,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4378,c_62,c_103]) ).
tcf(c_4397,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4377,c_59,c_103]) ).
tcf(c_4401,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4376,c_103,c_55]) ).
tcf(c_4405,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4375,c_103,c_52]) ).
tcf(c_4409,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4374,c_103,c_51]) ).
tcf(c_4413,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4373,c_103,c_50]) ).
tcf(c_4417,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4372,c_103,c_49]) ).
tcf(c_4421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4371,c_62,c_103]) ).
tcf(c_4425,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4370,c_103,c_55]) ).
tcf(c_4429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4369,c_103,c_52]) ).
tcf(c_4433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4368,c_103,c_51]) ).
tcf(c_4437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4367,c_103,c_50]) ).
tcf(c_4441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4366,c_103,c_49]) ).
tcf(c_4445,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4365,c_59,c_103]) ).
tcf(c_4449,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4363,c_51,c_50]) ).
tcf(c_4453,plain,
! [X0: $i] :
( ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xq,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4387,c_62]) ).
tcf(c_4458,plain,
! [X0: $i] :
( ( sK2(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4386,c_62]) ).
tcf(c_4463,plain,
! [X0: $i] :
( ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ( sdtpldt0(sK1,X0) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4385,c_55]) ).
tcf(c_4468,plain,
! [X0: $i] :
( ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ( sdtpldt0(sK0,X0) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4384,c_52]) ).
tcf(c_4473,plain,
! [X0: $i] :
( ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4383,c_51]) ).
tcf(c_4478,plain,
! [X0: $i] :
( ( sK2(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4382,c_50]) ).
tcf(c_4483,plain,
! [X0: $i] :
( ( sK2(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ( sdtpldt0(xl,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4381,c_49]) ).
tcf(c_4488,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4380,c_103,c_2518]) ).
tcf(c_4492,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4379,c_103,c_2518]) ).
tcf(c_4510,plain,
( ( sK2(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xq))
| ( sdtpldt0(xq,sz00) != xq ) ),
inference(instantiation,[status(thm)],[c_4458]) ).
tcf(c_4526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(xp,X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(xp,X0))
| ~ sdtlseqdt0(X1,sdtpldt0(xp,X0))
| ~ sdtlseqdt0(sdtpldt0(xp,X0),X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_4616,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_63,c_77]) ).
tcf(c_4617,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_2465,c_77]) ).
tcf(c_4618,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_2463,c_77]) ).
tcf(c_4619,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(superposition,[status(thm)],[c_2458,c_77]) ).
tcf(c_4620,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_2459,c_77]) ).
tcf(c_4621,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_2460,c_77]) ).
tcf(c_4622,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK0 ) ),
inference(superposition,[status(thm)],[c_2461,c_77]) ).
tcf(c_4623,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK1 ) ),
inference(superposition,[status(thm)],[c_2462,c_77]) ).
tcf(c_4624,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(superposition,[status(thm)],[c_2464,c_77]) ).
tcf(c_4625,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(superposition,[status(thm)],[c_2470,c_77]) ).
tcf(c_4626,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_2471,c_77]) ).
tcf(c_4627,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_2472,c_77]) ).
tcf(c_4628,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK0) != sK0 ) ),
inference(superposition,[status(thm)],[c_2473,c_77]) ).
tcf(c_4629,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK1) != sK1 ) ),
inference(superposition,[status(thm)],[c_2474,c_77]) ).
tcf(c_4630,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_2475,c_77]) ).
tcf(c_4631,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(superposition,[status(thm)],[c_2476,c_77]) ).
tcf(c_4632,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(X0,sdtasdt0(xl,xq)) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_2537,c_77]) ).
tcf(c_4633,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_2538,c_77]) ).
tcf(c_4634,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ( sdtpldt0(X0,sK2(xl,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_3034,c_77]) ).
tcf(c_4635,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ( sdtpldt0(X0,sK2(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_3033,c_77]) ).
tcf(c_4636,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ( sdtpldt0(X0,sK2(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_3032,c_77]) ).
tcf(c_4637,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ( sdtpldt0(X0,sK2(sK0,sK0)) != sK0 ) ),
inference(superposition,[status(thm)],[c_3031,c_77]) ).
tcf(c_4638,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ( sdtpldt0(X0,sK2(sK1,sK1)) != sK1 ) ),
inference(superposition,[status(thm)],[c_3030,c_77]) ).
tcf(c_4639,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ( sdtpldt0(X0,sK2(xq,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_3029,c_77]) ).
tcf(c_4640,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(X0,sK2(xq,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_3039,c_77]) ).
tcf(c_4642,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4617,c_103]) ).
tcf(c_4646,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4631,c_62,c_103]) ).
tcf(c_4650,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4630,c_59,c_103]) ).
tcf(c_4654,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK1) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4629,c_103,c_55]) ).
tcf(c_4658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK0) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4628,c_103,c_52]) ).
tcf(c_4662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4627,c_103,c_51]) ).
tcf(c_4666,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4626,c_103,c_50]) ).
tcf(c_4670,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4625,c_103,c_49]) ).
tcf(c_4674,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4624,c_62,c_103]) ).
tcf(c_4678,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4623,c_103,c_55]) ).
tcf(c_4682,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4622,c_103,c_52]) ).
tcf(c_4686,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4621,c_103,c_51]) ).
tcf(c_4690,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4620,c_103,c_50]) ).
tcf(c_4694,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4619,c_103,c_49]) ).
tcf(c_4698,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4618,c_59,c_103]) ).
tcf(c_4702,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4616,c_51,c_50]) ).
tcf(c_4706,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(X0,sK2(xq,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4640,c_62]) ).
tcf(c_4711,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ( sdtpldt0(X0,sK2(xq,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4639,c_62]) ).
tcf(c_4716,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ( sdtpldt0(X0,sK2(sK1,sK1)) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4638,c_55]) ).
tcf(c_4721,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ( sdtpldt0(X0,sK2(sK0,sK0)) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4637,c_52]) ).
tcf(c_4726,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ( sdtpldt0(X0,sK2(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4636,c_51]) ).
tcf(c_4731,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ( sdtpldt0(X0,sK2(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4635,c_50]) ).
tcf(c_4736,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ( sdtpldt0(X0,sK2(xl,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4634,c_49]) ).
tcf(c_4741,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4633,c_103,c_2518]) ).
tcf(c_4745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xq)) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4632,c_103,c_2518]) ).
tcf(c_4825,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_63,c_98]) ).
tcf(c_4849,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3039,c_98]) ).
tcf(c_4850,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_98,c_99]) ).
tcf(c_4851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK3(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_98,c_102]) ).
tcf(c_4852,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4825,c_51,c_50]) ).
tcf(c_4857,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4849,c_62]) ).
tcf(c_4886,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_4124,c_109]) ).
tcf(c_4888,plain,
( sdtlseqdt0(xq,sK1)
| ( sK1 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(xp,sK1) ),
inference(superposition,[status(thm)],[c_4124,c_110]) ).
tcf(c_4889,plain,
( sdtlseqdt0(xq,sK1)
| ( sdtpldt0(sK1,sK2(sK1,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_4124,c_73]) ).
tcf(c_4890,plain,
( sdtlseqdt0(xq,sK1)
| ( sdtpldt0(sK1,sK2(sK1,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4889,c_59,c_55]) ).
tcf(c_4893,plain,
( sdtlseqdt0(xq,sK1)
| ( sK1 = xp )
| ~ sdtlseqdt0(xp,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4888,c_59,c_55]) ).
tcf(c_4897,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4886,c_59,c_55]) ).
tcf(c_4906,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_4127,c_109]) ).
tcf(c_4908,plain,
( sdtlseqdt0(xq,sK0)
| ( sK0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(xp,sK0) ),
inference(superposition,[status(thm)],[c_4127,c_110]) ).
tcf(c_4909,plain,
( sdtlseqdt0(xq,sK0)
| ( sdtpldt0(sK0,sK2(sK0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_4127,c_73]) ).
tcf(c_4910,plain,
( sdtlseqdt0(xq,sK0)
| ( sdtpldt0(sK0,sK2(sK0,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4909,c_59,c_52]) ).
tcf(c_4913,plain,
( sdtlseqdt0(xq,sK0)
| ( sK0 = xp )
| ~ sdtlseqdt0(xp,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4908,c_59,c_52]) ).
tcf(c_4917,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4906,c_59,c_52]) ).
tcf(c_4926,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_4130,c_109]) ).
tcf(c_4928,plain,
( sdtlseqdt0(xn,xp)
| ( xn = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xq) ),
inference(superposition,[status(thm)],[c_4130,c_110]) ).
tcf(c_4929,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4130,c_73]) ).
tcf(c_4930,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4929,c_62,c_51]) ).
tcf(c_4933,plain,
( sdtlseqdt0(xn,xp)
| ( xn = xq )
| ~ sdtlseqdt0(xn,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4928,c_62,c_51]) ).
tcf(c_4937,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4926,c_62,c_51]) ).
tcf(c_4949,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_4133,c_109]) ).
tcf(c_4951,plain,
( sdtlseqdt0(xm,xp)
| ( xm = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xq) ),
inference(superposition,[status(thm)],[c_4133,c_110]) ).
tcf(c_4952,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4133,c_73]) ).
tcf(c_4953,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4952,c_62,c_50]) ).
tcf(c_4956,plain,
( sdtlseqdt0(xm,xp)
| ( xm = xq )
| ~ sdtlseqdt0(xm,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4951,c_62,c_50]) ).
tcf(c_4960,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4949,c_62,c_50]) ).
tcf(c_5026,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_4095,c_109]) ).
tcf(c_5028,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_4095,c_110]) ).
tcf(c_5029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| ( sdtpldt0(xq,sK2(xq,X1)) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_73]) ).
tcf(c_5030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3985]) ).
tcf(c_5032,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4095,c_109]) ).
tcf(c_5034,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4095,c_110]) ).
tcf(c_5035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_73]) ).
tcf(c_5038,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X2,xp)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4095,c_109]) ).
tcf(c_5039,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3979]) ).
tcf(c_5040,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4095,c_110]) ).
tcf(c_5041,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(X1,sK2(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_73]) ).
tcf(c_5077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5035,c_59]) ).
tcf(c_5083,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5034,c_59]) ).
tcf(c_5090,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| ( sdtpldt0(xq,sK2(xq,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5029,c_62]) ).
tcf(c_5096,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ( X0 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5028,c_62]) ).
tcf(c_5103,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5032,c_59]) ).
tcf(c_5111,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5026,c_62]) ).
tcf(c_5155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4096,c_84,c_4096]) ).
tcf(c_5182,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2538,c_5155]) ).
tcf(c_5190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xq)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5155,c_109]) ).
tcf(c_5192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(X0,X1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xq) ),
inference(superposition,[status(thm)],[c_5155,c_110]) ).
tcf(c_5193,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5155,c_73]) ).
tcf(c_5194,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5182,c_103,c_2518]) ).
tcf(c_5197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5193,c_62]) ).
tcf(c_5203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(X0,X1) = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5192,c_62]) ).
tcf(c_5210,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xq)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5190,c_62]) ).
tcf(c_5229,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4097,c_97,c_4097]) ).
tcf(c_5242,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_535,c_5229]) ).
tcf(c_5261,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xq)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5229,c_109]) ).
tcf(c_5263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xq) ),
inference(superposition,[status(thm)],[c_5229,c_110]) ).
tcf(c_5264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5229,c_73]) ).
tcf(c_5265,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sK1 = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5242,c_55,c_49]) ).
tcf(c_5269,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5264,c_62]) ).
tcf(c_5276,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5263,c_62]) ).
tcf(c_5284,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xq)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5261,c_62]) ).
tcf(c_5345,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_54,c_106]) ).
tcf(c_5346,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_98,c_106]) ).
tcf(c_5347,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_142,c_106]) ).
tcf(c_5349,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtasdt0(xl,xq),xl)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_534,c_106]) ).
tcf(c_5350,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2591,c_106]) ).
tcf(c_5351,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2656,c_106]) ).
tcf(c_5352,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2901,c_106]) ).
tcf(c_5353,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2904,c_106]) ).
tcf(c_5354,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_2907,c_106]) ).
tcf(c_5355,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sz00,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_3107,c_106]) ).
tcf(c_5356,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sz00,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_3135,c_106]) ).
tcf(c_5357,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(sz00,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3488,c_106]) ).
tcf(c_5358,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sz00,sK1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5356,c_103,c_55]) ).
tcf(c_5361,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sz00,sK0)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5355,c_103,c_52]) ).
tcf(c_5364,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5354,c_103,c_51]) ).
tcf(c_5367,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5353,c_103,c_50]) ).
tcf(c_5370,plain,
sdtasdt0(xl,sdtsldt0(sz00,xl)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5352,c_58,c_103,c_49]) ).
tcf(c_5371,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5351,c_62,c_103]) ).
tcf(c_5374,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5350,c_59,c_103]) ).
tcf(c_5379,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(sz00,sdtasdt0(xl,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5357,c_103,c_2518]) ).
tcf(c_5423,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X0)) = sdtasdt0(xl,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_78]) ).
tcf(c_5424,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X1),sdtasdt0(xm,X0)) = sdtasdt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_78]) ).
tcf(c_5425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X1),sdtasdt0(xn,X0)) = sdtasdt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_78]) ).
tcf(c_5426,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK0,X1),sdtasdt0(sK0,X0)) = sdtasdt0(sK0,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
tcf(c_5427,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK1,X1),sdtasdt0(sK1,X0)) = sdtasdt0(sK1,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55,c_78]) ).
tcf(c_5428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X1),sdtasdt0(xp,X0)) = sdtasdt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_78]) ).
tcf(c_5429,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(xq,X0)) = sdtasdt0(xq,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_78]) ).
tcf(c_5430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_78]) ).
tcf(c_5431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK2(X0,X1),X3),sdtasdt0(sK2(X0,X1),X2)) = sdtasdt0(sK2(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_78]) ).
tcf(c_5432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_78]) ).
tcf(c_5433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK3(X0,X1),X3),sdtasdt0(sK3(X0,X1),X2)) = sdtasdt0(sK3(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_78]) ).
tcf(c_5434,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_78]) ).
tcf(c_5435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X3),sdtasdt0(sdtsldt0(X1,X0),X2)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_78]) ).
tcf(c_5436,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xq),X1),sdtasdt0(sdtasdt0(xl,xq),X0)) = sdtasdt0(sdtasdt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2518,c_78]) ).
tcf(c_5533,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xl),sdtasdt0(X0,xl)) = sdtasdt0(sdtpldt0(X1,X0),xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_79]) ).
tcf(c_5534,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xm),sdtasdt0(X0,xm)) = sdtasdt0(sdtpldt0(X1,X0),xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_79]) ).
tcf(c_5535,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xn),sdtasdt0(X0,xn)) = sdtasdt0(sdtpldt0(X1,X0),xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_79]) ).
tcf(c_5536,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK0),sdtasdt0(X0,sK0)) = sdtasdt0(sdtpldt0(X1,X0),sK0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_79]) ).
tcf(c_5537,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK1),sdtasdt0(X0,sK1)) = sdtasdt0(sdtpldt0(X1,X0),sK1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55,c_79]) ).
tcf(c_5538,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xp),sdtasdt0(X0,xp)) = sdtasdt0(sdtpldt0(X1,X0),xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_79]) ).
tcf(c_5539,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xq),sdtasdt0(X0,xq)) = sdtasdt0(sdtpldt0(X1,X0),xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62,c_79]) ).
tcf(c_5540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),sdtasdt0(X2,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_79]) ).
tcf(c_5541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK2(X0,X1)),sdtasdt0(X2,sK2(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK2(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_79]) ).
tcf(c_5542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X0,X1)),sdtasdt0(X2,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_79]) ).
tcf(c_5543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK3(X0,X1)),sdtasdt0(X2,sK3(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK3(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_79]) ).
tcf(c_5544,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_79]) ).
tcf(c_5545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,sdtsldt0(X1,X0)),sdtasdt0(X2,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X3,X2),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_79]) ).
tcf(c_5546,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xl,xq)),sdtasdt0(X0,sdtasdt0(xl,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2518,c_79]) ).
tcf(c_5649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_5650,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2465,c_68]) ).
tcf(c_5651,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2463,c_68]) ).
tcf(c_5652,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2458,c_68]) ).
tcf(c_5653,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2459,c_68]) ).
tcf(c_5654,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2460,c_68]) ).
tcf(c_5655,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sK0,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2461,c_68]) ).
tcf(c_5656,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sK1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2462,c_68]) ).
tcf(c_5657,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2464,c_68]) ).
tcf(c_5658,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_2470,c_68]) ).
tcf(c_5659,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_2471,c_68]) ).
tcf(c_5660,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_2472,c_68]) ).
tcf(c_5661,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sz00,X0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_2473,c_68]) ).
tcf(c_5662,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sz00,X0))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_2474,c_68]) ).
tcf(c_5663,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_2475,c_68]) ).
tcf(c_5664,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_2476,c_68]) ).
tcf(c_5665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_2537,c_68]) ).
tcf(c_5666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2538,c_68]) ).
tcf(c_5667,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sK2(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ~ sdtlseqdt0(sK2(xl,xl),X0) ),
inference(superposition,[status(thm)],[c_3034,c_68]) ).
tcf(c_5668,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK2(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ~ sdtlseqdt0(sK2(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_3033,c_68]) ).
tcf(c_5669,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ~ sdtlseqdt0(sK2(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_3032,c_68]) ).
tcf(c_5670,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sK0,X0))
| ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ~ sdtlseqdt0(sK2(sK0,sK0),X0) ),
inference(superposition,[status(thm)],[c_3031,c_68]) ).
tcf(c_5671,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sK1,X0))
| ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ~ sdtlseqdt0(sK2(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_3030,c_68]) ).
tcf(c_5672,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sK2(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ sdtlseqdt0(sK2(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_3029,c_68]) ).
tcf(c_5673,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_3039,c_68]) ).
tcf(c_5674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_5675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2465,c_68]) ).
tcf(c_5676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2463,c_68]) ).
tcf(c_5677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2458,c_68]) ).
tcf(c_5678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2459,c_68]) ).
tcf(c_5679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2460,c_68]) ).
tcf(c_5680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2461,c_68]) ).
tcf(c_5681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2462,c_68]) ).
tcf(c_5682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2464,c_68]) ).
tcf(c_5683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_2470,c_68]) ).
tcf(c_5684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_2471,c_68]) ).
tcf(c_5685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_2472,c_68]) ).
tcf(c_5686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_2473,c_68]) ).
tcf(c_5687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK1)
| ( X0 = sK1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_2474,c_68]) ).
tcf(c_5688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_2475,c_68]) ).
tcf(c_5689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_2476,c_68]) ).
tcf(c_5690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2537,c_68]) ).
tcf(c_5691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2538,c_68]) ).
tcf(c_5692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sK2(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ~ sdtlseqdt0(X0,sK2(xl,xl)) ),
inference(superposition,[status(thm)],[c_3034,c_68]) ).
tcf(c_5693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK2(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ~ sdtlseqdt0(X0,sK2(xm,xm)) ),
inference(superposition,[status(thm)],[c_3033,c_68]) ).
tcf(c_5694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ~ sdtlseqdt0(X0,sK2(xn,xn)) ),
inference(superposition,[status(thm)],[c_3032,c_68]) ).
tcf(c_5695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK0)
| ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ~ sdtlseqdt0(X0,sK2(sK0,sK0)) ),
inference(superposition,[status(thm)],[c_3031,c_68]) ).
tcf(c_5696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK1)
| ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ~ sdtlseqdt0(X0,sK2(sK1,sK1)) ),
inference(superposition,[status(thm)],[c_3030,c_68]) ).
tcf(c_5697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sK2(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_3029,c_68]) ).
tcf(c_5698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3039,c_68]) ).
tcf(c_5699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,X3))
| ( X2 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X3))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_68,c_109]) ).
tcf(c_5700,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),xp)
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_68,c_3979]) ).
tcf(c_5701,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_68,c_110]) ).
tcf(c_5702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK2(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_68,c_73]) ).
tcf(c_5703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5675,c_103]) ).
tcf(c_5708,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5650,c_103]) ).
tcf(c_5713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5689,c_62,c_103]) ).
tcf(c_5718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5688,c_59,c_103]) ).
tcf(c_5723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK1)
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5687,c_103,c_55]) ).
tcf(c_5728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5686,c_103,c_52]) ).
tcf(c_5733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5685,c_103,c_51]) ).
tcf(c_5738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5684,c_103,c_50]) ).
tcf(c_5743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5683,c_103,c_49]) ).
tcf(c_5748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5682,c_62,c_103]) ).
tcf(c_5753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5681,c_103,c_55]) ).
tcf(c_5758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5680,c_103,c_52]) ).
tcf(c_5763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5679,c_103,c_51]) ).
tcf(c_5768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5678,c_103,c_50]) ).
tcf(c_5773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5677,c_103,c_49]) ).
tcf(c_5778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5676,c_59,c_103]) ).
tcf(c_5783,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5664,c_62,c_103]) ).
tcf(c_5788,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5663,c_59,c_103]) ).
tcf(c_5793,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sz00,X0))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5662,c_103,c_55]) ).
tcf(c_5798,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sz00,X0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5661,c_103,c_52]) ).
tcf(c_5803,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5660,c_103,c_51]) ).
tcf(c_5808,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5659,c_103,c_50]) ).
tcf(c_5813,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5658,c_103,c_49]) ).
tcf(c_5818,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5657,c_62,c_103]) ).
tcf(c_5823,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sK1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5656,c_103,c_55]) ).
tcf(c_5828,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sK0,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5655,c_103,c_52]) ).
tcf(c_5833,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5654,c_103,c_51]) ).
tcf(c_5838,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5653,c_103,c_50]) ).
tcf(c_5843,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5652,c_103,c_49]) ).
tcf(c_5848,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5651,c_59,c_103]) ).
tcf(c_5853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5674,c_51,c_50]) ).
tcf(c_5858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5649,c_51,c_50]) ).
tcf(c_5863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5698,c_62]) ).
tcf(c_5869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( sK2(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5697,c_62]) ).
tcf(c_5875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK1)
| ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ~ sdtlseqdt0(X0,sK2(sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5696,c_55]) ).
tcf(c_5881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK0)
| ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ~ sdtlseqdt0(X0,sK2(sK0,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5695,c_52]) ).
tcf(c_5887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ~ sdtlseqdt0(X0,sK2(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5694,c_51]) ).
tcf(c_5893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK2(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ~ sdtlseqdt0(X0,sK2(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5693,c_50]) ).
tcf(c_5899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xl)
| ( sK2(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ~ sdtlseqdt0(X0,sK2(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5692,c_49]) ).
tcf(c_5905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5691,c_103,c_2518]) ).
tcf(c_5910,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5673,c_62]) ).
tcf(c_5916,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sK2(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ sdtlseqdt0(sK2(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5672,c_62]) ).
tcf(c_5922,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sK1,X0))
| ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ~ sdtlseqdt0(sK2(sK1,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5671,c_55]) ).
tcf(c_5928,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sK0,X0))
| ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ~ sdtlseqdt0(sK2(sK0,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5670,c_52]) ).
tcf(c_5934,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,xn))
| ~ sdtlseqdt0(sK2(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5669,c_51]) ).
tcf(c_5940,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK2(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,xm))
| ~ sdtlseqdt0(sK2(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5668,c_50]) ).
tcf(c_5946,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(xl,X0))
| ( sK2(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xl))
| ~ sdtlseqdt0(sK2(xl,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5667,c_49]) ).
tcf(c_5952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5666,c_103,c_2518]) ).
tcf(c_5957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5690,c_103,c_2518]) ).
tcf(c_5962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5665,c_103,c_2518]) ).
tcf(c_6082,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_108,c_66]) ).
tcf(c_6086,plain,
sdtlseqdt0(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_6082,c_62,c_59]) ).
tcf(c_6204,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_4136,c_109]) ).
tcf(c_6206,plain,
( sdtlseqdt0(xl,xp)
| ( xl = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,xq) ),
inference(superposition,[status(thm)],[c_4136,c_110]) ).
tcf(c_6207,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4136,c_73]) ).
tcf(c_6208,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK2(xq,xl)) = xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6207,c_62,c_49]) ).
tcf(c_6211,plain,
( sdtlseqdt0(xl,xp)
| ( xl = xq )
| ~ sdtlseqdt0(xl,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6206,c_62,c_49]) ).
tcf(c_6215,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6204,c_62,c_49]) ).
tcf(c_6223,plain,
( ( sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_4225,c_73]) ).
tcf(c_6224,plain,
sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_6223,c_2518]) ).
tcf(c_6229,plain,
( ( sK2(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xp,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_3035,c_75]) ).
tcf(c_6233,plain,
! [X0: $i] :
( ( sK2(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_3035,c_76]) ).
tcf(c_6234,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK2(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ~ sdtlseqdt0(sK2(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_3035,c_68]) ).
tcf(c_6235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK2(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ~ sdtlseqdt0(X0,sK2(xp,xp)) ),
inference(superposition,[status(thm)],[c_3035,c_68]) ).
tcf(c_6237,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ( sdtpldt0(X0,sK2(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_3035,c_77]) ).
tcf(c_6238,plain,
( ( sK2(xp,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xp,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6229,c_59]) ).
tcf(c_6242,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ( sdtpldt0(X0,sK2(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6237,c_59]) ).
tcf(c_6247,plain,
! [X0: $i] :
( ( sK2(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6233,c_59]) ).
tcf(c_6252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK2(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ~ sdtlseqdt0(X0,sK2(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6235,c_59]) ).
tcf(c_6258,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK2(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xp))
| ~ sdtlseqdt0(sK2(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6234,c_59]) ).
tcf(c_6297,plain,
( ( sK2(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3036,c_75]) ).
tcf(c_6301,plain,
! [X0: $i] :
( ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3036,c_76]) ).
tcf(c_6302,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_3036,c_68]) ).
tcf(c_6303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3036,c_68]) ).
tcf(c_6305,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ( sdtpldt0(X0,sK2(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3036,c_77]) ).
tcf(c_6306,plain,
( ( sK2(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6297,c_103]) ).
tcf(c_6309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ( sdtpldt0(X0,sK2(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6305,c_103]) ).
tcf(c_6314,plain,
! [X0: $i] :
( ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6301,c_103]) ).
tcf(c_6319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6303,c_103]) ).
tcf(c_6325,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6302,c_103]) ).
tcf(c_6345,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_5863]) ).
tcf(c_6346,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_5863]) ).
tcf(c_6347,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3961,c_5863]) ).
tcf(c_6348,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3944,c_5863]) ).
tcf(c_6349,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_5863]) ).
tcf(c_6350,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6348,c_62]) ).
tcf(c_6366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6349,c_62]) ).
tcf(c_6373,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6347,c_62]) ).
tcf(c_6427,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_145,c_5910]) ).
tcf(c_6428,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_85,c_5910]) ).
tcf(c_6430,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_5910]) ).
tcf(c_6431,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_5910]) ).
tcf(c_6432,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_5910]) ).
tcf(c_6433,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3970,c_5910]) ).
tcf(c_6434,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3944,c_5910]) ).
tcf(c_6435,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6434,c_59]) ).
tcf(c_6451,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6432,c_59]) ).
tcf(c_6458,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6433,c_59]) ).
tcf(c_6493,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xp) != sz00 ) ),
inference(instantiation,[status(thm)],[c_3201]) ).
tcf(c_6509,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_109]) ).
tcf(c_6512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_73]) ).
tcf(c_6515,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_5910]) ).
tcf(c_6517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),X1)
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_6346,c_109]) ).
tcf(c_6519,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6346,c_110]) ).
tcf(c_6520,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6346,c_73]) ).
tcf(c_6538,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6520,c_59]) ).
tcf(c_6545,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6519,c_59]) ).
tcf(c_6553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),X1)
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6517,c_59]) ).
tcf(c_6566,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,xp))
| ( xp = sz00 )
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_3202]) ).
tcf(c_6568,plain,
( sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(xp,sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),xq) ),
inference(instantiation,[status(thm)],[c_2888]) ).
tcf(c_6579,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2464,c_6431]) ).
tcf(c_6580,plain,
( sdtlseqdt0(xp,xq)
| sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3029,c_6431]) ).
tcf(c_6582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6431,c_109]) ).
tcf(c_6584,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xp) ),
inference(superposition,[status(thm)],[c_6431,c_110]) ).
tcf(c_6585,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6431,c_73]) ).
tcf(c_6586,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6431,c_3965]) ).
tcf(c_6587,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X1))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6431,c_109]) ).
tcf(c_6590,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6431,c_73]) ).
tcf(c_6594,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6579,c_66,c_103]) ).
tcf(c_6598,plain,
( sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6580,c_66]) ).
tcf(c_6622,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6585,c_59]) ).
tcf(c_6629,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6584,c_59]) ).
tcf(c_6637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6582,c_59]) ).
tcf(c_6682,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6594,c_109]) ).
tcf(c_6684,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_6594,c_110]) ).
tcf(c_6685,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6594,c_73]) ).
tcf(c_6686,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6594,c_5863]) ).
tcf(c_6687,plain,
( sdtlseqdt0(xq,xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_6686,c_2464]) ).
tcf(c_6688,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6684,c_103]) ).
tcf(c_6692,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6685,c_103]) ).
tcf(c_6696,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6682,c_103]) ).
tcf(c_6710,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_6598,c_109]) ).
tcf(c_6711,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6598,c_3979]) ).
tcf(c_6712,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_6598,c_110]) ).
tcf(c_6713,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6598,c_73]) ).
tcf(c_6714,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(xq,xq)),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6598,c_5863]) ).
tcf(c_6715,plain,
( sdtlseqdt0(xq,xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_6714,c_3029]) ).
tcf(c_6807,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_6711,c_109]) ).
tcf(c_6809,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xq) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_6711,c_110]) ).
tcf(c_6810,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6711,c_73]) ).
tcf(c_6811,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6810,c_59]) ).
tcf(c_6817,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xq) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6809,c_59]) ).
tcf(c_6824,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6807,c_59]) ).
tcf(c_6848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_63,c_70]) ).
tcf(c_6849,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2465,c_70]) ).
tcf(c_6850,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_2463,c_70]) ).
tcf(c_6851,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3036,c_70]) ).
tcf(c_6852,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_2458,c_70]) ).
tcf(c_6853,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_2459,c_70]) ).
tcf(c_6854,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_2460,c_70]) ).
tcf(c_6855,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sz00))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_2461,c_70]) ).
tcf(c_6856,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sz00))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_2462,c_70]) ).
tcf(c_6857,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_2464,c_70]) ).
tcf(c_6858,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2470,c_70]) ).
tcf(c_6859,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2471,c_70]) ).
tcf(c_6860,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2472,c_70]) ).
tcf(c_6861,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2473,c_70]) ).
tcf(c_6862,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2474,c_70]) ).
tcf(c_6863,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2475,c_70]) ).
tcf(c_6864,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2476,c_70]) ).
tcf(c_6865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2537,c_70]) ).
tcf(c_6866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_2538,c_70]) ).
tcf(c_6867,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK2(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,xp)) ),
inference(superposition,[status(thm)],[c_3035,c_70]) ).
tcf(c_6868,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK2(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK2(xl,xl)) ),
inference(superposition,[status(thm)],[c_3034,c_70]) ).
tcf(c_6869,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK2(xm,xm)) ),
inference(superposition,[status(thm)],[c_3033,c_70]) ).
tcf(c_6870,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK2(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(superposition,[status(thm)],[c_3032,c_70]) ).
tcf(c_6871,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sK2(sK0,sK0)))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(superposition,[status(thm)],[c_3031,c_70]) ).
tcf(c_6872,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sK2(sK1,sK1)))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0)
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(superposition,[status(thm)],[c_3030,c_70]) ).
tcf(c_6873,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_3029,c_70]) ).
tcf(c_6874,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3039,c_70]) ).
tcf(c_6875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_63,c_70]) ).
tcf(c_6876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2465,c_70]) ).
tcf(c_6877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_2463,c_70]) ).
tcf(c_6878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3036,c_70]) ).
tcf(c_6879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_2458,c_70]) ).
tcf(c_6880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_2459,c_70]) ).
tcf(c_6881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_2460,c_70]) ).
tcf(c_6882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_2461,c_70]) ).
tcf(c_6883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK1)
| ( X0 = sK1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_2462,c_70]) ).
tcf(c_6884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_2464,c_70]) ).
tcf(c_6885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2470,c_70]) ).
tcf(c_6886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2471,c_70]) ).
tcf(c_6887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2472,c_70]) ).
tcf(c_6888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2473,c_70]) ).
tcf(c_6889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK1),sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2474,c_70]) ).
tcf(c_6890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2475,c_70]) ).
tcf(c_6891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2476,c_70]) ).
tcf(c_6892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2537,c_70]) ).
tcf(c_6893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2538,c_70]) ).
tcf(c_6894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,xp)) ),
inference(superposition,[status(thm)],[c_3035,c_70]) ).
tcf(c_6895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,xl)) ),
inference(superposition,[status(thm)],[c_3034,c_70]) ).
tcf(c_6896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,xm)) ),
inference(superposition,[status(thm)],[c_3033,c_70]) ).
tcf(c_6897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(superposition,[status(thm)],[c_3032,c_70]) ).
tcf(c_6898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,sK0)),sK0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(superposition,[status(thm)],[c_3031,c_70]) ).
tcf(c_6899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK1,sK1)),sK1)
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(superposition,[status(thm)],[c_3030,c_70]) ).
tcf(c_6900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_3029,c_70]) ).
tcf(c_6901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xp)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3039,c_70]) ).
tcf(c_6902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtpldt0(X3,X2))
| ( X1 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(sdtpldt0(X3,X2))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_70,c_109]) ).
tcf(c_6903,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),xp)
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70,c_3979]) ).
tcf(c_6904,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_70,c_110]) ).
tcf(c_6905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK2(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_70,c_73]) ).
tcf(c_6906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6876,c_103]) ).
tcf(c_6911,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6849,c_103]) ).
tcf(c_6916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6891,c_62,c_103]) ).
tcf(c_6921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6890,c_59,c_103]) ).
tcf(c_6926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK1),sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6889,c_103,c_55]) ).
tcf(c_6931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6888,c_103,c_52]) ).
tcf(c_6936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6887,c_103,c_51]) ).
tcf(c_6941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6886,c_103,c_50]) ).
tcf(c_6946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6885,c_103,c_49]) ).
tcf(c_6951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6884,c_62,c_103]) ).
tcf(c_6956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK1)
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6883,c_103,c_55]) ).
tcf(c_6961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6882,c_103,c_52]) ).
tcf(c_6966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6881,c_103,c_51]) ).
tcf(c_6971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6880,c_103,c_50]) ).
tcf(c_6976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6879,c_103,c_49]) ).
tcf(c_6981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6877,c_59,c_103]) ).
tcf(c_6986,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6864,c_62,c_103]) ).
tcf(c_6991,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6863,c_59,c_103]) ).
tcf(c_6996,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6862,c_103,c_55]) ).
tcf(c_7001,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6861,c_103,c_52]) ).
tcf(c_7006,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6860,c_103,c_51]) ).
tcf(c_7011,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6859,c_103,c_50]) ).
tcf(c_7016,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6858,c_103,c_49]) ).
tcf(c_7021,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6857,c_62,c_103]) ).
tcf(c_7026,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sz00))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6856,c_103,c_55]) ).
tcf(c_7031,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sz00))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6855,c_103,c_52]) ).
tcf(c_7036,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6854,c_103,c_51]) ).
tcf(c_7041,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6853,c_103,c_50]) ).
tcf(c_7046,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sz00))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6852,c_103,c_49]) ).
tcf(c_7051,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6850,c_59,c_103]) ).
tcf(c_7056,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6875,c_51,c_50]) ).
tcf(c_7061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6848,c_51,c_50]) ).
tcf(c_7066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xp)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6901,c_62]) ).
tcf(c_7072,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xq)),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6900,c_62]) ).
tcf(c_7078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK1,sK1)),sK1)
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6899,c_55]) ).
tcf(c_7084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,sK0)),sK0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6898,c_52]) ).
tcf(c_7090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6897,c_51]) ).
tcf(c_7096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6896,c_50]) ).
tcf(c_7102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,xl)),xl)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6895,c_49]) ).
tcf(c_7108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6894,c_59]) ).
tcf(c_7114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6878,c_103]) ).
tcf(c_7120,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6874,c_62]) ).
tcf(c_7126,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xq)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6873,c_62]) ).
tcf(c_7132,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sK2(sK1,sK1)))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0)
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6872,c_55]) ).
tcf(c_7138,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sK2(sK0,sK0)))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6871,c_52]) ).
tcf(c_7144,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK2(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6870,c_51]) ).
tcf(c_7150,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK2(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6869,c_50]) ).
tcf(c_7156,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK2(xl,xl)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK2(xl,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6868,c_49]) ).
tcf(c_7162,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK2(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6867,c_59]) ).
tcf(c_7168,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6851,c_103]) ).
tcf(c_7174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xq)),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6892,c_103,c_2518]) ).
tcf(c_7179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6865,c_103,c_2518]) ).
tcf(c_7184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6893,c_103,c_2518]) ).
tcf(c_7189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6866,c_103,c_2518]) ).
tcf(c_7312,plain,
! [X0: $i] :
( ( xp = X0 )
| ( xp != xp )
| ( X0 != xp ) ),
inference(instantiation,[status(thm)],[c_3214]) ).
tcf(c_7313,plain,
( ( xp = sz00 )
| ( xp != xp )
| ( sz00 != xp ) ),
inference(instantiation,[status(thm)],[c_7312]) ).
tcf(c_7539,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_53,c_91]) ).
tcf(c_7540,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_535,c_91]) ).
tcf(c_7541,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_60,c_91]) ).
tcf(c_7543,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2482,c_91]) ).
tcf(c_7544,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2483,c_91]) ).
tcf(c_7545,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2484,c_91]) ).
tcf(c_7546,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2485,c_91]) ).
tcf(c_7547,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2486,c_91]) ).
tcf(c_7548,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2487,c_91]) ).
tcf(c_7549,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2488,c_91]) ).
tcf(c_7558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2536,c_91]) ).
tcf(c_7560,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7549,c_62,c_103]) ).
tcf(c_7565,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7548,c_59,c_103]) ).
tcf(c_7570,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7547,c_103,c_55]) ).
tcf(c_7575,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7546,c_103,c_52]) ).
tcf(c_7580,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7545,c_103,c_51]) ).
tcf(c_7585,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7544,c_103,c_50]) ).
tcf(c_7590,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7543,c_58,c_103,c_49]) ).
tcf(c_7594,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7541,c_58,c_59,c_49]) ).
tcf(c_7598,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7539,c_58,c_52,c_49]) ).
tcf(c_7602,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7540,c_58,c_55,c_49]) ).
tcf(c_7606,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7558,c_103,c_2518]) ).
tcf(c_7678,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK0) != xm ) ),
inference(superposition,[status(thm)],[c_53,c_92]) ).
tcf(c_7679,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK1) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_535,c_92]) ).
tcf(c_7680,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(superposition,[status(thm)],[c_60,c_92]) ).
tcf(c_7689,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_2494,c_92]) ).
tcf(c_7690,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2495,c_92]) ).
tcf(c_7691,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2496,c_92]) ).
tcf(c_7692,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2497,c_92]) ).
tcf(c_7693,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_2498,c_92]) ).
tcf(c_7694,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_2499,c_92]) ).
tcf(c_7695,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_2500,c_92]) ).
tcf(c_7696,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtasdt0(X0,sdtasdt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2535,c_92]) ).
tcf(c_7699,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7695,c_62,c_103]) ).
tcf(c_7704,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7694,c_59,c_103]) ).
tcf(c_7709,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7693,c_103,c_55]) ).
tcf(c_7714,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7692,c_103,c_52]) ).
tcf(c_7719,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7691,c_103,c_51]) ).
tcf(c_7724,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7690,c_103,c_50]) ).
tcf(c_7729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7689,c_58,c_103,c_49]) ).
tcf(c_7733,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7680,c_59,c_49]) ).
tcf(c_7738,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7678,c_52,c_49]) ).
tcf(c_7743,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK1) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7679,c_55,c_49]) ).
tcf(c_7748,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7696,c_103,c_2518]) ).
tcf(c_7802,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_53,c_87]) ).
tcf(c_7803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_535,c_87]) ).
tcf(c_7804,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_60,c_87]) ).
tcf(c_7806,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2482,c_87]) ).
tcf(c_7807,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2483,c_87]) ).
tcf(c_7808,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2484,c_87]) ).
tcf(c_7809,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2485,c_87]) ).
tcf(c_7810,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2486,c_87]) ).
tcf(c_7811,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_2487,c_87]) ).
tcf(c_7812,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2488,c_87]) ).
tcf(c_7821,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2536,c_87]) ).
tcf(c_7822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( xl = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_53,c_87]) ).
tcf(c_7823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xl,xq))
| ( xl = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_535,c_87]) ).
tcf(c_7824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_60,c_87]) ).
tcf(c_7826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2482,c_87]) ).
tcf(c_7827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2483,c_87]) ).
tcf(c_7828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2484,c_87]) ).
tcf(c_7829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sz00)
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2485,c_87]) ).
tcf(c_7830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sz00)
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2486,c_87]) ).
tcf(c_7831,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_2487,c_87]) ).
tcf(c_7832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2488,c_87]) ).
tcf(c_7841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2536,c_87]) ).
tcf(c_7842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,X3))
| ( X2 = X3 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(sdtasdt0(X1,X3))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_87,c_109]) ).
tcf(c_7843,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),xp)
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_87,c_3979]) ).
tcf(c_7844,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_87,c_110]) ).
tcf(c_7845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK2(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_87,c_73]) ).
tcf(c_7846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7832,c_62,c_103]) ).
tcf(c_7852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7831,c_59,c_103]) ).
tcf(c_7858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sz00)
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7830,c_103,c_55]) ).
tcf(c_7864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sz00)
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7829,c_103,c_52]) ).
tcf(c_7870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7828,c_103,c_51]) ).
tcf(c_7876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7827,c_103,c_50]) ).
tcf(c_7882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7826,c_58,c_103,c_49]) ).
tcf(c_7887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7824,c_58,c_59,c_49]) ).
tcf(c_7892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7822,c_58,c_52,c_49]) ).
tcf(c_7897,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7812,c_62,c_103]) ).
tcf(c_7903,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7811,c_59,c_103]) ).
tcf(c_7909,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7810,c_103,c_55]) ).
tcf(c_7915,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7809,c_103,c_52]) ).
tcf(c_7921,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7808,c_103,c_51]) ).
tcf(c_7927,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7807,c_103,c_50]) ).
tcf(c_7933,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7806,c_58,c_103,c_49]) ).
tcf(c_7938,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7804,c_58,c_59,c_49]) ).
tcf(c_7943,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7802,c_58,c_52,c_49]) ).
tcf(c_7948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xl,xq))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7823,c_58,c_55,c_49]) ).
tcf(c_7953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,X0))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7803,c_58,c_55,c_49]) ).
tcf(c_7958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7841,c_103,c_2518]) ).
tcf(c_7964,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7821,c_103,c_2518]) ).
tcf(c_8155,plain,
( ( sdtpldt0(xq,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_6086,c_73]) ).
tcf(c_8166,plain,
sdtpldt0(xq,sK2(xq,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_8155,c_62,c_59]) ).
tcf(c_8235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xq)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_70]) ).
tcf(c_8239,plain,
( ( sK2(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ( sz00 != xq ) ),
inference(superposition,[status(thm)],[c_3040,c_75]) ).
tcf(c_8243,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_70]) ).
tcf(c_8244,plain,
! [X0: $i] :
( ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_3040,c_76]) ).
tcf(c_8245,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),X0) ),
inference(superposition,[status(thm)],[c_3040,c_68]) ).
tcf(c_8246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_68]) ).
tcf(c_8247,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ doDivides0(X0,sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_98]) ).
tcf(c_8248,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ( sdtpldt0(X0,sK2(sz00,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_3040,c_77]) ).
tcf(c_8249,plain,
( ( sK2(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ( sz00 != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8239,c_103]) ).
tcf(c_8253,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ( sdtpldt0(X0,sK2(sz00,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8248,c_103]) ).
tcf(c_8258,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ doDivides0(X0,sK2(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8247,c_103]) ).
tcf(c_8264,plain,
! [X0: $i] :
( ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8244,c_103]) ).
tcf(c_8269,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8243,c_103]) ).
tcf(c_8275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xq)),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8235,c_103]) ).
tcf(c_8281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8246,c_103]) ).
tcf(c_8287,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8245,c_103]) ).
tcf(c_8297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_3041,c_70]) ).
tcf(c_8301,plain,
( ( sK2(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_3041,c_75]) ).
tcf(c_8305,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK2(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_3041,c_70]) ).
tcf(c_8306,plain,
! [X0: $i] :
( ( sK2(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_3041,c_76]) ).
tcf(c_8307,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK2(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_3041,c_68]) ).
tcf(c_8308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(X0,sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_3041,c_68]) ).
tcf(c_8309,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ doDivides0(X0,sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_3041,c_98]) ).
tcf(c_8310,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sdtpldt0(X0,sK2(sz00,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_3041,c_77]) ).
tcf(c_8311,plain,
( ( sK2(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8301,c_103]) ).
tcf(c_8315,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sdtpldt0(X0,sK2(sz00,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8310,c_103]) ).
tcf(c_8320,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ doDivides0(X0,sK2(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8309,c_103]) ).
tcf(c_8326,plain,
! [X0: $i] :
( ( sK2(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8306,c_103]) ).
tcf(c_8331,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK2(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8305,c_103]) ).
tcf(c_8337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8297,c_103]) ).
tcf(c_8343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(X0,sK2(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8308,c_103]) ).
tcf(c_8349,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK2(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8307,c_103]) ).
tcf(c_8359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK1)),sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1)) ),
inference(superposition,[status(thm)],[c_3042,c_70]) ).
tcf(c_8363,plain,
( ( sK2(sz00,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ( sK1 != sz00 ) ),
inference(superposition,[status(thm)],[c_3042,c_75]) ).
tcf(c_8367,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sK2(sz00,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK1)) ),
inference(superposition,[status(thm)],[c_3042,c_70]) ).
tcf(c_8368,plain,
! [X0: $i] :
( ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ( sdtpldt0(sz00,X0) != sK1 ) ),
inference(superposition,[status(thm)],[c_3042,c_76]) ).
tcf(c_8369,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sz00,X0))
| ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),X0) ),
inference(superposition,[status(thm)],[c_3042,c_68]) ).
tcf(c_8370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK1)
| ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(X0,sK2(sz00,sK1)) ),
inference(superposition,[status(thm)],[c_3042,c_68]) ).
tcf(c_8371,plain,
! [X0: $i] :
( doDivides0(X0,sK1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ doDivides0(X0,sK2(sz00,sK1)) ),
inference(superposition,[status(thm)],[c_3042,c_98]) ).
tcf(c_8372,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ( sdtpldt0(X0,sK2(sz00,sK1)) != sK1 ) ),
inference(superposition,[status(thm)],[c_3042,c_77]) ).
tcf(c_8373,plain,
( ( sK2(sz00,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ( sK1 != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8363,c_103]) ).
tcf(c_8377,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ( sdtpldt0(X0,sK2(sz00,sK1)) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8372,c_103]) ).
tcf(c_8382,plain,
! [X0: $i] :
( doDivides0(X0,sK1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ doDivides0(X0,sK2(sz00,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8371,c_103]) ).
tcf(c_8388,plain,
! [X0: $i] :
( ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ( sdtpldt0(sz00,X0) != sK1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8368,c_103]) ).
tcf(c_8393,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(X0,sK2(sz00,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8367,c_103]) ).
tcf(c_8399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK1)),sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8359,c_103]) ).
tcf(c_8405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK1)
| ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(X0,sK2(sz00,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8370,c_103]) ).
tcf(c_8411,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sdtpldt0(sz00,X0))
| ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8369,c_103]) ).
tcf(c_8421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK0)),sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_3043,c_70]) ).
tcf(c_8425,plain,
( ( sK2(sz00,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ( sK0 != sz00 ) ),
inference(superposition,[status(thm)],[c_3043,c_75]) ).
tcf(c_8429,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sK2(sz00,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_3043,c_70]) ).
tcf(c_8430,plain,
! [X0: $i] :
( ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ( sdtpldt0(sz00,X0) != sK0 ) ),
inference(superposition,[status(thm)],[c_3043,c_76]) ).
tcf(c_8431,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sz00,X0))
| ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),X0) ),
inference(superposition,[status(thm)],[c_3043,c_68]) ).
tcf(c_8432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK0)
| ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(X0,sK2(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_3043,c_68]) ).
tcf(c_8433,plain,
! [X0: $i] :
( doDivides0(X0,sK0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ doDivides0(X0,sK2(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_3043,c_98]) ).
tcf(c_8434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ( sdtpldt0(X0,sK2(sz00,sK0)) != sK0 ) ),
inference(superposition,[status(thm)],[c_3043,c_77]) ).
tcf(c_8435,plain,
( ( sK2(sz00,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ( sK0 != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8425,c_103]) ).
tcf(c_8439,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ( sdtpldt0(X0,sK2(sz00,sK0)) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8434,c_103]) ).
tcf(c_8444,plain,
! [X0: $i] :
( doDivides0(X0,sK0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ doDivides0(X0,sK2(sz00,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8433,c_103]) ).
tcf(c_8450,plain,
! [X0: $i] :
( ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ( sdtpldt0(sz00,X0) != sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8430,c_103]) ).
tcf(c_8455,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(X0,sK2(sz00,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8429,c_103]) ).
tcf(c_8461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK0)),sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8421,c_103]) ).
tcf(c_8467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK0)
| ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(X0,sK2(sz00,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8432,c_103]) ).
tcf(c_8473,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sdtpldt0(sz00,X0))
| ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8431,c_103]) ).
tcf(c_8497,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xq),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_6710]) ).
tcf(c_8498,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),X0)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_6710]) ).
tcf(c_8499,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3961,c_6710]) ).
tcf(c_8500,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3944,c_6710]) ).
tcf(c_8501,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),X0)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_6710]) ).
tcf(c_8502,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(xq,xq)),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_6710]) ).
tcf(c_8510,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8502,c_3029]) ).
tcf(c_8518,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),X0)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8501,c_62]) ).
tcf(c_8582,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_6713]) ).
tcf(c_8583,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8582,c_62,c_2622]) ).
tcf(c_8598,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_6688]) ).
tcf(c_8607,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_72,c_6692]) ).
tcf(c_8608,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8607,c_62,c_59,c_2649]) ).
tcf(c_8617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_70]) ).
tcf(c_8623,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_145]) ).
tcf(c_8624,plain,
( aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_84]) ).
tcf(c_8625,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_70]) ).
tcf(c_8626,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(sz00,X0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_8608,c_76]) ).
tcf(c_8627,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_8608,c_68]) ).
tcf(c_8628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_68]) ).
tcf(c_8629,plain,
! [X0: $i] :
( doDivides0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ doDivides0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_98]) ).
tcf(c_8630,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_8608,c_77]) ).
tcf(c_8631,plain,
( aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8624,c_103]) ).
tcf(c_8635,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8623,c_103]) ).
tcf(c_8639,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8630,c_103]) ).
tcf(c_8645,plain,
! [X0: $i] :
( doDivides0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ doDivides0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8629,c_103]) ).
tcf(c_8652,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(sz00,X0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8626,c_103]) ).
tcf(c_8658,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8625,c_103]) ).
tcf(c_8665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8617,c_103]) ).
tcf(c_8672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8628,c_103]) ).
tcf(c_8679,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8627,c_103]) ).
tcf(c_8700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6696,c_109]) ).
tcf(c_8701,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6696,c_3979]) ).
tcf(c_8702,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_6696,c_110]) ).
tcf(c_8703,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6696,c_73]) ).
tcf(c_8704,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6696,c_3965]) ).
tcf(c_8706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6696,c_5863]) ).
tcf(c_8719,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8704,c_59]) ).
tcf(c_8799,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),X1)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8498,c_109]) ).
tcf(c_8801,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xq),X0)
| ( sK2(xq,xp) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_8498,c_110]) ).
tcf(c_8802,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xq),X0)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8498,c_73]) ).
tcf(c_8803,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8498,c_3965]) ).
tcf(c_8805,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8498,c_5863]) ).
tcf(c_8806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_8498,c_109]) ).
tcf(c_8808,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xq) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_8498,c_110]) ).
tcf(c_8809,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8498,c_73]) ).
tcf(c_8821,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8803,c_59]) ).
tcf(c_8957,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_8497,c_109]) ).
tcf(c_8959,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xq) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_8497,c_110]) ).
tcf(c_8960,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8497,c_73]) ).
tcf(c_8961,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sK2(xq,xq),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8497,c_109]) ).
tcf(c_8962,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8497,c_3979]) ).
tcf(c_8963,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_8497,c_110]) ).
tcf(c_8964,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8497,c_73]) ).
tcf(c_8967,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xq),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8497,c_5863]) ).
tcf(c_9008,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8960,c_59]) ).
tcf(c_9016,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xq) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8959,c_59]) ).
tcf(c_9025,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8957,c_59]) ).
tcf(c_9041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_70]) ).
tcf(c_9045,plain,
( ( sK2(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_3044,c_75]) ).
tcf(c_9049,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK2(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_70]) ).
tcf(c_9050,plain,
! [X0: $i] :
( ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_3044,c_76]) ).
tcf(c_9051,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_3044,c_68]) ).
tcf(c_9052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_68]) ).
tcf(c_9053,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ doDivides0(X0,sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_98]) ).
tcf(c_9054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ( sdtpldt0(X0,sK2(sz00,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_3044,c_77]) ).
tcf(c_9055,plain,
( ( sK2(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9045,c_103]) ).
tcf(c_9059,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ( sdtpldt0(X0,sK2(sz00,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9054,c_103]) ).
tcf(c_9064,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ doDivides0(X0,sK2(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9053,c_103]) ).
tcf(c_9070,plain,
! [X0: $i] :
( ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9050,c_103]) ).
tcf(c_9075,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK2(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9049,c_103]) ).
tcf(c_9081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9041,c_103]) ).
tcf(c_9087,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9052,c_103]) ).
tcf(c_9093,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9051,c_103]) ).
tcf(c_9172,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK0))
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_53,c_89]) ).
tcf(c_9173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,sK1))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_535,c_89]) ).
tcf(c_9174,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60,c_89]) ).
tcf(c_9183,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2494,c_89]) ).
tcf(c_9184,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2495,c_89]) ).
tcf(c_9185,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2496,c_89]) ).
tcf(c_9186,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK0))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2497,c_89]) ).
tcf(c_9187,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2498,c_89]) ).
tcf(c_9188,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_2499,c_89]) ).
tcf(c_9189,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_2500,c_89]) ).
tcf(c_9190,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2535,c_89]) ).
tcf(c_9192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),xm)
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_53,c_89]) ).
tcf(c_9193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_535,c_89]) ).
tcf(c_9194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60,c_89]) ).
tcf(c_9203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sz00)
| ( xl = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2494,c_89]) ).
tcf(c_9204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2495,c_89]) ).
tcf(c_9205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2496,c_89]) ).
tcf(c_9206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sz00)
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2497,c_89]) ).
tcf(c_9207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sz00)
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2498,c_89]) ).
tcf(c_9208,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_2499,c_89]) ).
tcf(c_9209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_2500,c_89]) ).
tcf(c_9210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2535,c_89]) ).
tcf(c_9212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X3,X2))
| ( X2 = sz00 )
| ( X1 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(sdtasdt0(X3,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_89,c_109]) ).
tcf(c_9213,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),xp)
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_89,c_3979]) ).
tcf(c_9214,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_89,c_110]) ).
tcf(c_9215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK2(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_89,c_73]) ).
tcf(c_9216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9209,c_62,c_103]) ).
tcf(c_9222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9208,c_59,c_103]) ).
tcf(c_9228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sz00)
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9207,c_103,c_55]) ).
tcf(c_9234,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sz00)
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9206,c_103,c_52]) ).
tcf(c_9240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9205,c_103,c_51]) ).
tcf(c_9246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9204,c_103,c_50]) ).
tcf(c_9252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9203,c_58,c_103,c_49]) ).
tcf(c_9257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9194,c_59,c_49]) ).
tcf(c_9263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),xm)
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9192,c_52,c_49]) ).
tcf(c_9269,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9189,c_62,c_103]) ).
tcf(c_9275,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9188,c_59,c_103]) ).
tcf(c_9281,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9187,c_103,c_55]) ).
tcf(c_9287,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK0))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9186,c_103,c_52]) ).
tcf(c_9293,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9185,c_103,c_51]) ).
tcf(c_9299,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9184,c_103,c_50]) ).
tcf(c_9305,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xl))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9183,c_58,c_103,c_49]) ).
tcf(c_9310,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9174,c_59,c_49]) ).
tcf(c_9316,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK0))
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9172,c_52,c_49]) ).
tcf(c_9322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9193,c_55,c_49]) ).
tcf(c_9328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,sK1))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9173,c_55,c_49]) ).
tcf(c_9334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9210,c_103,c_2518]) ).
tcf(c_9340,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9190,c_103,c_2518]) ).
tcf(c_9419,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_8166,c_74]) ).
tcf(c_9422,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9419,c_62]) ).
tcf(c_9430,plain,
sz00 != xp,
inference(global_subsumption_just,[status(thm)],[c_9422,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313]) ).
tcf(c_9481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3045,c_70]) ).
tcf(c_9485,plain,
( ( sK2(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_3045,c_75]) ).
tcf(c_9489,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3045,c_70]) ).
tcf(c_9490,plain,
! [X0: $i] :
( ( sK2(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_3045,c_76]) ).
tcf(c_9491,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK2(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_3045,c_68]) ).
tcf(c_9492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK2(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(X0,sK2(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3045,c_68]) ).
tcf(c_9493,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ doDivides0(X0,sK2(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3045,c_98]) ).
tcf(c_9494,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ( sdtpldt0(X0,sK2(sz00,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_3045,c_77]) ).
tcf(c_9495,plain,
( ( sK2(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9485,c_103]) ).
tcf(c_9499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ( sdtpldt0(X0,sK2(sz00,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9494,c_103]) ).
tcf(c_9504,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ doDivides0(X0,sK2(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9493,c_103]) ).
tcf(c_9510,plain,
! [X0: $i] :
( ( sK2(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9490,c_103]) ).
tcf(c_9515,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9489,c_103]) ).
tcf(c_9521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9481,c_103]) ).
tcf(c_9527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK2(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(X0,sK2(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9492,c_103]) ).
tcf(c_9533,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK2(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9491,c_103]) ).
tcf(c_9543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xl)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3046,c_70]) ).
tcf(c_9551,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK2(sz00,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3046,c_70]) ).
tcf(c_9552,plain,
! [X0: $i] :
( ( sK2(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_3046,c_76]) ).
tcf(c_9553,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sK2(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),X0) ),
inference(superposition,[status(thm)],[c_3046,c_68]) ).
tcf(c_9554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sK2(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(X0,sK2(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3046,c_68]) ).
tcf(c_9555,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ doDivides0(X0,sK2(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3046,c_98]) ).
tcf(c_9556,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ( sdtpldt0(X0,sK2(sz00,xl)) != xl ) ),
inference(superposition,[status(thm)],[c_3046,c_77]) ).
tcf(c_9557,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ( sdtpldt0(X0,sK2(sz00,xl)) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9556,c_103]) ).
tcf(c_9562,plain,
! [X0: $i] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ doDivides0(X0,sK2(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9555,c_103]) ).
tcf(c_9568,plain,
! [X0: $i] :
( ( sK2(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9552,c_103]) ).
tcf(c_9573,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(X0,sK2(sz00,xl)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9551,c_103]) ).
tcf(c_9579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xl)),xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9543,c_103]) ).
tcf(c_9585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| ( sK2(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(X0,sK2(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9554,c_103]) ).
tcf(c_9591,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sdtpldt0(sz00,X0))
| ( sK2(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9553,c_103]) ).
tcf(c_9609,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sz00,sz00)))
| ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3167,c_89]) ).
tcf(c_9620,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ( sdtasdt0(X0,sK3(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3167,c_92]) ).
tcf(c_9621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3167,c_89]) ).
tcf(c_9622,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ( sdtasdt0(X0,sK3(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9620,c_103]) ).
tcf(c_9628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9621,c_103]) ).
tcf(c_9635,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sz00,sz00)))
| ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK3(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9609,c_103]) ).
tcf(c_9650,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sK1,sz00)))
| ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0)
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(superposition,[status(thm)],[c_3168,c_89]) ).
tcf(c_9653,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ( sdtasdt0(sK1,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3168,c_91]) ).
tcf(c_9654,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sK1,xp)
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(superposition,[status(thm)],[c_3168,c_5229]) ).
tcf(c_9655,plain,
( ( sK1 = sz00 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(superposition,[status(thm)],[c_3168,c_90]) ).
tcf(c_9658,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ sdtlseqdt0(sK3(sK1,sz00),X0) ),
inference(superposition,[status(thm)],[c_3168,c_87]) ).
tcf(c_9659,plain,
( sdtlseqdt0(sK1,sz00)
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(superposition,[status(thm)],[c_3168,c_85]) ).
tcf(c_9660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sz00)
| ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ sdtlseqdt0(X0,sK3(sK1,sz00)) ),
inference(superposition,[status(thm)],[c_3168,c_87]) ).
tcf(c_9661,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ( sdtasdt0(X0,sK3(sK1,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3168,c_92]) ).
tcf(c_9662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK1,sz00)),sz00)
| ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(superposition,[status(thm)],[c_3168,c_89]) ).
tcf(c_9663,plain,
( sdtlseqdt0(sK1,sz00)
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9659,c_55]) ).
tcf(c_9667,plain,
( ( sK1 = sz00 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9655,c_55]) ).
tcf(c_9671,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sK1,xp)
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9654,c_55]) ).
tcf(c_9676,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ( sdtasdt0(sK1,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9653,c_55]) ).
tcf(c_9682,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ( sdtasdt0(X0,sK3(sK1,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9661,c_55]) ).
tcf(c_9688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK1,sz00)),sz00)
| ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9662,c_55]) ).
tcf(c_9695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sz00)
| ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ sdtlseqdt0(X0,sK3(sK1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9660,c_55]) ).
tcf(c_9702,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ sdtlseqdt0(sK3(sK1,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9658,c_55]) ).
tcf(c_9709,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sK1,sz00)))
| ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0)
| ~ aNaturalNumber0(sK3(sK1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9650,c_55]) ).
tcf(c_9808,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sK0,sz00)))
| ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(superposition,[status(thm)],[c_3169,c_89]) ).
tcf(c_9811,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ( sdtasdt0(sK0,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3169,c_91]) ).
tcf(c_9812,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sK0,xp)
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(superposition,[status(thm)],[c_3169,c_5229]) ).
tcf(c_9813,plain,
( ( sK0 = sz00 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(superposition,[status(thm)],[c_3169,c_90]) ).
tcf(c_9816,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ sdtlseqdt0(sK3(sK0,sz00),X0) ),
inference(superposition,[status(thm)],[c_3169,c_87]) ).
tcf(c_9817,plain,
( sdtlseqdt0(sK0,sz00)
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(superposition,[status(thm)],[c_3169,c_85]) ).
tcf(c_9818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sz00)
| ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ sdtlseqdt0(X0,sK3(sK0,sz00)) ),
inference(superposition,[status(thm)],[c_3169,c_87]) ).
tcf(c_9819,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ( sdtasdt0(X0,sK3(sK0,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3169,c_92]) ).
tcf(c_9820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK0,sz00)),sz00)
| ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(superposition,[status(thm)],[c_3169,c_89]) ).
tcf(c_9821,plain,
( sdtlseqdt0(sK0,sz00)
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9817,c_52]) ).
tcf(c_9825,plain,
( ( sK0 = sz00 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9813,c_52]) ).
tcf(c_9829,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sK0,xp)
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9812,c_52]) ).
tcf(c_9834,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ( sdtasdt0(sK0,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9811,c_52]) ).
tcf(c_9840,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ( sdtasdt0(X0,sK3(sK0,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9819,c_52]) ).
tcf(c_9846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK0,sz00)),sz00)
| ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9820,c_52]) ).
tcf(c_9853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sz00)
| ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ sdtlseqdt0(X0,sK3(sK0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9818,c_52]) ).
tcf(c_9860,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ sdtlseqdt0(sK3(sK0,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9816,c_52]) ).
tcf(c_9867,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sK0,sz00)))
| ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK3(sK0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9808,c_52]) ).
tcf(c_9879,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xn,sz00)))
| ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3170,c_89]) ).
tcf(c_9882,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3170,c_91]) ).
tcf(c_9883,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(xn,xp)
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3170,c_5229]) ).
tcf(c_9884,plain,
( ( xn = sz00 )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3170,c_90]) ).
tcf(c_9887,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ sdtlseqdt0(sK3(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_3170,c_87]) ).
tcf(c_9888,plain,
( sdtlseqdt0(xn,sz00)
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3170,c_85]) ).
tcf(c_9889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ sdtlseqdt0(X0,sK3(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3170,c_87]) ).
tcf(c_9890,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ( sdtasdt0(X0,sK3(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3170,c_92]) ).
tcf(c_9891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3170,c_89]) ).
tcf(c_9892,plain,
( sdtlseqdt0(xn,sz00)
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9888,c_51]) ).
tcf(c_9896,plain,
( ( xn = sz00 )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9884,c_51]) ).
tcf(c_9900,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(xn,xp)
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9883,c_51]) ).
tcf(c_9905,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9882,c_51]) ).
tcf(c_9911,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ( sdtasdt0(X0,sK3(xn,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9890,c_51]) ).
tcf(c_9917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9891,c_51]) ).
tcf(c_9924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ sdtlseqdt0(X0,sK3(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9889,c_51]) ).
tcf(c_9931,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ sdtlseqdt0(sK3(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9887,c_51]) ).
tcf(c_9938,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xn,sz00)))
| ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK3(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9879,c_51]) ).
tcf(c_9950,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xm,sz00)))
| ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3171,c_89]) ).
tcf(c_9953,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK3(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3171,c_91]) ).
tcf(c_9954,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(xm,xp)
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3171,c_5229]) ).
tcf(c_9955,plain,
( ( xm = sz00 )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3171,c_90]) ).
tcf(c_9958,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK3(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ sdtlseqdt0(sK3(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_3171,c_87]) ).
tcf(c_9959,plain,
( sdtlseqdt0(xm,sz00)
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3171,c_85]) ).
tcf(c_9960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK3(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ sdtlseqdt0(X0,sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3171,c_87]) ).
tcf(c_9961,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ( sdtasdt0(X0,sK3(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3171,c_92]) ).
tcf(c_9962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3171,c_89]) ).
tcf(c_9963,plain,
( sdtlseqdt0(xm,sz00)
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9959,c_50]) ).
tcf(c_9967,plain,
( ( xm = sz00 )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9955,c_50]) ).
tcf(c_9971,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(xm,xp)
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9954,c_50]) ).
tcf(c_9976,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK3(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9953,c_50]) ).
tcf(c_9982,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ( sdtasdt0(X0,sK3(xm,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9961,c_50]) ).
tcf(c_9988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9962,c_50]) ).
tcf(c_9995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK3(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ sdtlseqdt0(X0,sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9960,c_50]) ).
tcf(c_10002,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK3(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ sdtlseqdt0(sK3(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9958,c_50]) ).
tcf(c_10009,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xm,sz00)))
| ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9950,c_50]) ).
tcf(c_10079,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_72,c_8583]) ).
tcf(c_10080,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10079,c_62,c_59,c_2649]) ).
tcf(c_10089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xq),sK2(xq,xp))),sK2(xq,xp))
| ( sK2(xq,xq) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ sdtlseqdt0(X0,sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10080,c_70]) ).
tcf(c_10090,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10080,c_5155]) ).
tcf(c_10093,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sK2(sK2(xq,xq),sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_10080,c_75]) ).
tcf(c_10094,plain,
( ( sK2(xq,xq) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_10080,c_74]) ).
tcf(c_10095,plain,
( sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10080,c_145]) ).
tcf(c_10096,plain,
( aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10080,c_84]) ).
tcf(c_10097,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(sK2(xq,xq),sK2(xq,xp))))
| ( sK2(xq,xq) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ sdtlseqdt0(sK2(xq,xq),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10080,c_70]) ).
tcf(c_10098,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sK2(sK2(xq,xq),sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp)))
| ( sdtpldt0(sK2(xq,xq),X0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_10080,c_76]) ).
tcf(c_10099,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK2(xq,xq),X0))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sK2(sK2(xq,xq),sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sK2(xq,xq),sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_10080,c_68]) ).
tcf(c_10100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sK2(sK2(xq,xq),sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xq),sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10080,c_68]) ).
tcf(c_10101,plain,
! [X0: $i] :
( doDivides0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ doDivides0(X0,sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp)))
| ~ doDivides0(X0,sK2(sK2(xq,xq),sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10080,c_98]) ).
tcf(c_10102,plain,
! [X0: $i] :
( ( sK2(xq,xq) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(sK2(xq,xq),sK2(xq,xp)))
| ( sdtpldt0(X0,sK2(sK2(xq,xq),sK2(xq,xp))) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_10080,c_77]) ).
tcf(c_10267,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_8706,c_109]) ).
tcf(c_10269,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_8706,c_110]) ).
tcf(c_10270,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_8706,c_73]) ).
tcf(c_10271,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10270,c_59]) ).
tcf(c_10279,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10269,c_59]) ).
tcf(c_10288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10267,c_59]) ).
tcf(c_10324,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_68,c_8700]) ).
tcf(c_10325,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_70,c_8700]) ).
tcf(c_10326,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_145,c_8700]) ).
tcf(c_10327,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_85,c_8700]) ).
tcf(c_10328,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_87,c_8700]) ).
tcf(c_10329,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_89,c_8700]) ).
tcf(c_10331,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_8700]) ).
tcf(c_10332,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_8700]) ).
tcf(c_10333,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2614,c_8700]) ).
tcf(c_10334,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_2629,c_8700]) ).
tcf(c_10335,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2628,c_8700]) ).
tcf(c_10337,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2626,c_8700]) ).
tcf(c_10338,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2625,c_8700]) ).
tcf(c_10339,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2624,c_8700]) ).
tcf(c_10340,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2623,c_8700]) ).
tcf(c_10341,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2622,c_8700]) ).
tcf(c_10343,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2620,c_8700]) ).
tcf(c_10344,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2619,c_8700]) ).
tcf(c_10345,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2618,c_8700]) ).
tcf(c_10346,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2617,c_8700]) ).
tcf(c_10347,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2616,c_8700]) ).
tcf(c_10348,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2615,c_8700]) ).
tcf(c_10349,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2649,c_8700]) ).
tcf(c_10350,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2935,c_8700]) ).
tcf(c_10351,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2932,c_8700]) ).
tcf(c_10352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_8700]) ).
tcf(c_10353,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3970,c_8700]) ).
tcf(c_10354,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3944,c_8700]) ).
tcf(c_10355,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3961,c_8700]) ).
tcf(c_10356,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3944,c_8700]) ).
tcf(c_10357,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_3535,c_8700]) ).
tcf(c_10358,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_8700]) ).
tcf(c_10359,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_5155,c_8700]) ).
tcf(c_10360,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_5229,c_8700]) ).
tcf(c_10362,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4133,c_8700]) ).
tcf(c_10363,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4130,c_8700]) ).
tcf(c_10364,plain,
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4127,c_8700]) ).
tcf(c_10365,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4124,c_8700]) ).
tcf(c_10366,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_4225,c_8700]) ).
tcf(c_10367,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8498,c_8700]) ).
tcf(c_10368,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(superposition,[status(thm)],[c_6431,c_8700]) ).
tcf(c_10369,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_8700]) ).
tcf(c_10370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_8706,c_8700]) ).
tcf(c_10371,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6346,c_8700]) ).
tcf(c_10372,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xq),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_8497,c_8700]) ).
tcf(c_10373,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_8498,c_8700]) ).
tcf(c_10375,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_6431,c_8700]) ).
tcf(c_10376,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_6594,c_8700]) ).
tcf(c_10377,plain,
( sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_6598,c_8700]) ).
tcf(c_10378,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8497,c_8700]) ).
tcf(c_10379,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6711,c_8700]) ).
tcf(c_10380,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10341,c_62]) ).
tcf(c_10385,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10340,c_55]) ).
tcf(c_10390,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10339,c_52]) ).
tcf(c_10395,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10338,c_51]) ).
tcf(c_10400,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10337,c_50]) ).
tcf(c_10405,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10335,c_59]) ).
tcf(c_10412,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10349,c_62,c_59]) ).
tcf(c_10417,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10348,c_62,c_103]) ).
tcf(c_10422,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10347,c_59,c_103]) ).
tcf(c_10427,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10346,c_103,c_55]) ).
tcf(c_10432,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10345,c_103,c_52]) ).
tcf(c_10437,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10344,c_103,c_51]) ).
tcf(c_10442,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10343,c_103,c_50]) ).
tcf(c_10447,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10366,c_2518]) ).
tcf(c_10452,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10365,c_59,c_55]) ).
tcf(c_10458,plain,
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10364,c_59,c_52]) ).
tcf(c_10464,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10363,c_62,c_51]) ).
tcf(c_10470,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10362,c_62,c_50]) ).
tcf(c_10477,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10354,c_59]) ).
tcf(c_10492,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10351,c_50,c_49]) ).
tcf(c_10498,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10350,c_50,c_49]) ).
tcf(c_10504,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10334,c_50,c_2518]) ).
tcf(c_10524,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10355,c_62]) ).
tcf(c_10531,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10353,c_59]) ).
tcf(c_10538,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10358,c_62]) ).
tcf(c_10547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10352,c_59]) ).
tcf(c_10584,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10359,c_62]) ).
tcf(c_10593,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10379,c_59]) ).
tcf(c_10609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10370,c_59]) ).
tcf(c_10626,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10360,c_62]) ).
tcf(c_10636,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10371,c_59]) ).
tcf(c_10645,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10368,c_59]) ).
tcf(c_10663,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10378,c_59]) ).
tcf(c_10792,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59,c_152]) ).
tcf(c_10804,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10792,c_9430]) ).
tcf(c_10857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3055,c_70]) ).
tcf(c_10861,plain,
( ( sK2(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_3055,c_75]) ).
tcf(c_10862,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_3055,c_74]) ).
tcf(c_10865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3055,c_70]) ).
tcf(c_10866,plain,
! [X0: $i] :
( ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_3055,c_76]) ).
tcf(c_10867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xm,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_3055,c_68]) ).
tcf(c_10868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3055,c_68]) ).
tcf(c_10869,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3055,c_98]) ).
tcf(c_10870,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_3055,c_77]) ).
tcf(c_10871,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10862,c_50]) ).
tcf(c_10875,plain,
( ( sK2(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10861,c_50]) ).
tcf(c_10879,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10870,c_50]) ).
tcf(c_10884,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10869,c_50]) ).
tcf(c_10890,plain,
! [X0: $i] :
( ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10866,c_50]) ).
tcf(c_10895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10865,c_50]) ).
tcf(c_10901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10857,c_50]) ).
tcf(c_10907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xl,xq))
| ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10868,c_50]) ).
tcf(c_10913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,X0))
| ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xm,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10867,c_50]) ).
tcf(c_10934,plain,
! [X0: $i] :
( ( sdtpldt0(xp,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ~ sdtlseqdt0(sdtpldt0(xp,X0),xp) ),
inference(instantiation,[status(thm)],[c_4526]) ).
tcf(c_10990,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xl,sz00)))
| ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3172,c_89]) ).
tcf(c_10993,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK3(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3172,c_91]) ).
tcf(c_10994,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(xl,xp)
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3172,c_5229]) ).
tcf(c_10995,plain,
( ( xl = sz00 )
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3172,c_90]) ).
tcf(c_10998,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK3(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ sdtlseqdt0(sK3(xl,sz00),X0) ),
inference(superposition,[status(thm)],[c_3172,c_87]) ).
tcf(c_10999,plain,
( sdtlseqdt0(xl,sz00)
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3172,c_85]) ).
tcf(c_11000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( xl = sz00 )
| ( sK3(xl,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ sdtlseqdt0(X0,sK3(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3172,c_87]) ).
tcf(c_11001,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ( sdtasdt0(X0,sK3(xl,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3172,c_92]) ).
tcf(c_11002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sz00)),sz00)
| ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3172,c_89]) ).
tcf(c_11003,plain,
( ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10999,c_3315,c_49]) ).
tcf(c_11008,plain,
! [X0: $i] :
( ( sK3(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10993,c_58,c_49]) ).
tcf(c_11013,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ( sdtasdt0(X0,sK3(xl,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11001,c_49]) ).
tcf(c_11019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sz00)),sz00)
| ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11002,c_49]) ).
tcf(c_11026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( sK3(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ sdtlseqdt0(X0,sK3(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11000,c_58,c_49]) ).
tcf(c_11032,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( sK3(xl,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ sdtlseqdt0(sK3(xl,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10998,c_58,c_49]) ).
tcf(c_11038,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xl,sz00)))
| ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10990,c_49]) ).
tcf(c_11045,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xq,sz00)))
| ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(superposition,[status(thm)],[c_3173,c_89]) ).
tcf(c_11048,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3173,c_91]) ).
tcf(c_11050,plain,
( ( sz00 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(superposition,[status(thm)],[c_3173,c_90]) ).
tcf(c_11053,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ sdtlseqdt0(sK3(xq,sz00),X0) ),
inference(superposition,[status(thm)],[c_3173,c_87]) ).
tcf(c_11054,plain,
( sdtlseqdt0(xq,sz00)
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(superposition,[status(thm)],[c_3173,c_85]) ).
tcf(c_11055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ sdtlseqdt0(X0,sK3(xq,sz00)) ),
inference(superposition,[status(thm)],[c_3173,c_87]) ).
tcf(c_11056,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ( sdtasdt0(X0,sK3(xq,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3173,c_92]) ).
tcf(c_11057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xq,sz00)),sz00)
| ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(superposition,[status(thm)],[c_3173,c_89]) ).
tcf(c_11058,plain,
( sdtlseqdt0(xq,sz00)
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11054,c_62]) ).
tcf(c_11062,plain,
( ( sz00 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11050,c_62]) ).
tcf(c_11066,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11048,c_62]) ).
tcf(c_11072,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ( sdtasdt0(X0,sK3(xq,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11056,c_62]) ).
tcf(c_11078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xq,sz00)),sz00)
| ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11057,c_62]) ).
tcf(c_11085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ sdtlseqdt0(X0,sK3(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11055,c_62]) ).
tcf(c_11092,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ sdtlseqdt0(sK3(xq,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11053,c_62]) ).
tcf(c_11099,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xq,sz00)))
| ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK3(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11045,c_62]) ).
tcf(c_11108,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xp,sz00)))
| ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(superposition,[status(thm)],[c_3174,c_89]) ).
tcf(c_11111,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3174,c_91]) ).
tcf(c_11113,plain,
( ( sz00 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(superposition,[status(thm)],[c_3174,c_90]) ).
tcf(c_11116,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ sdtlseqdt0(sK3(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_3174,c_87]) ).
tcf(c_11117,plain,
( sdtlseqdt0(xp,sz00)
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(superposition,[status(thm)],[c_3174,c_85]) ).
tcf(c_11118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ sdtlseqdt0(X0,sK3(xp,sz00)) ),
inference(superposition,[status(thm)],[c_3174,c_87]) ).
tcf(c_11119,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ( sdtasdt0(X0,sK3(xp,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3174,c_92]) ).
tcf(c_11120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(superposition,[status(thm)],[c_3174,c_89]) ).
tcf(c_11121,plain,
( sdtlseqdt0(xp,sz00)
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11117,c_59]) ).
tcf(c_11125,plain,
( ( sz00 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11113,c_59]) ).
tcf(c_11129,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11111,c_59]) ).
tcf(c_11135,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ( sdtasdt0(X0,sK3(xp,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11119,c_59]) ).
tcf(c_11141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11120,c_59]) ).
tcf(c_11148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ sdtlseqdt0(X0,sK3(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11118,c_59]) ).
tcf(c_11155,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ sdtlseqdt0(sK3(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11116,c_59]) ).
tcf(c_11162,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(xp,sz00)))
| ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11108,c_59]) ).
tcf(c_11200,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK3(xl,xm)))
| ( X0 = xl )
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_3175,c_89]) ).
tcf(c_11203,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_3175,c_91]) ).
tcf(c_11204,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_3175,c_5229]) ).
tcf(c_11205,plain,
( ( xl = sz00 )
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_3175,c_90]) ).
tcf(c_11208,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(sK3(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_3175,c_87]) ).
tcf(c_11209,plain,
( sdtlseqdt0(xl,xm)
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_3175,c_85]) ).
tcf(c_11210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( xl = sz00 )
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(X0,sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_3175,c_87]) ).
tcf(c_11211,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtasdt0(X0,sK3(xl,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_3175,c_92]) ).
tcf(c_11212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,xm)),xm)
| ( X0 = xl )
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(superposition,[status(thm)],[c_3175,c_89]) ).
tcf(c_11213,plain,
( sdtlseqdt0(xl,xm)
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11209,c_49]) ).
tcf(c_11217,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11204,c_49]) ).
tcf(c_11222,plain,
( ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(sK3(xl,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11205,c_58,c_49]) ).
tcf(c_11226,plain,
! [X0: $i] :
( ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11203,c_58,c_49]) ).
tcf(c_11231,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ( sdtasdt0(X0,sK3(xl,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11211,c_49]) ).
tcf(c_11237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,xm)),xm)
| ( X0 = xl )
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11212,c_49]) ).
tcf(c_11244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(X0,sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11210,c_58,c_49]) ).
tcf(c_11250,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xl,X0))
| ( sK3(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,xm))
| ~ sdtlseqdt0(sK3(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11208,c_58,c_49]) ).
tcf(c_11256,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK3(xl,xm)))
| ( X0 = xl )
| ( sK3(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11200,c_49]) ).
tcf(c_11279,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3297]) ).
tcf(c_11280,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11279,c_103]) ).
tcf(c_11287,plain,
~ sdtlseqdt0(xp,sz00),
inference(global_subsumption_just,[status(thm)],[c_3300,c_103,c_62,c_59,c_66,c_2615,c_2889]) ).
tcf(c_11327,plain,
sdtsldt0(sdtasdt0(xp,sz00),xp) = sz00,
inference(superposition,[status(thm)],[c_103,c_10804]) ).
tcf(c_11330,plain,
sdtsldt0(sz00,xp) = sz00,
inference(light_normalisation,[status(thm)],[c_11327,c_4000]) ).
tcf(c_11369,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_145,c_8702]) ).
tcf(c_11370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_85,c_8702]) ).
tcf(c_11372,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_8702]) ).
tcf(c_11373,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_8702]) ).
tcf(c_11419,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_72,c_8703]) ).
tcf(c_11420,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11419,c_62,c_59,c_2649]) ).
tcf(c_11440,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_11420]) ).
tcf(c_11444,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_11420]) ).
tcf(c_11446,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_11420]) ).
tcf(c_11447,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11440,c_103]) ).
tcf(c_11452,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11444,c_62,c_103]) ).
tcf(c_11458,plain,
( sdtlseqdt0(xq,xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_11446,c_2464]) ).
tcf(c_11484,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_8518,c_109]) ).
tcf(c_11485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8518,c_8700]) ).
tcf(c_11487,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xq) = X0 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xq)) ),
inference(superposition,[status(thm)],[c_8518,c_110]) ).
tcf(c_11488,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8518,c_73]) ).
tcf(c_11493,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(xq,xq)),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8518,c_5863]) ).
tcf(c_11494,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_11493,c_3029]) ).
tcf(c_11547,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6811,c_109]) ).
tcf(c_11548,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_6811,c_8700]) ).
tcf(c_11550,plain,
( ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(superposition,[status(thm)],[c_6811,c_110]) ).
tcf(c_11551,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6811,c_73]) ).
tcf(c_11552,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6811,c_5863]) ).
tcf(c_11553,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11552,c_62]) ).
tcf(c_11560,plain,
( ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11551,c_62]) ).
tcf(c_11566,plain,
( ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11550,c_62]) ).
tcf(c_11573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11547,c_62]) ).
tcf(c_11581,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ( sdtpldt0(sK2(xq,xq),sK2(sK2(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11548,c_62]) ).
tcf(c_11604,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xq) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_6817]) ).
tcf(c_11605,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xq),xp)
| ( sK2(xq,xq) = xp )
| ( sK2(xq,xp) = sK2(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xq))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11604,c_59]) ).
tcf(c_11614,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_11616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))))
| ( X0 = xl )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_89]) ).
tcf(c_11619,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_3176,c_91]) ).
tcf(c_11620,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_5229]) ).
tcf(c_11621,plain,
( ( xl = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_3176,c_90]) ).
tcf(c_11624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xl,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_3176,c_87]) ).
tcf(c_11625,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_85]) ).
tcf(c_11626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xl,xq))
| ( xl = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_87]) ).
tcf(c_11627,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_3176,c_92]) ).
tcf(c_11628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xl )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_89]) ).
tcf(c_11629,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11625,c_49]) ).
tcf(c_11633,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11620,c_49]) ).
tcf(c_11638,plain,
( ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11621,c_58,c_49]) ).
tcf(c_11642,plain,
! [X0: $i] :
( ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11619,c_58,c_49]) ).
tcf(c_11647,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11627,c_49]) ).
tcf(c_11653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xl )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11628,c_49]) ).
tcf(c_11660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xl,xq))
| ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11626,c_58,c_49]) ).
tcf(c_11666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xl,X0))
| ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK3(xl,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11624,c_58,c_49]) ).
tcf(c_11672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))))
| ( X0 = xl )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11616,c_49]) ).
tcf(c_11725,plain,
~ sdtlseqdt0(xm,sz00),
inference(global_subsumption_just,[status(thm)],[c_3312,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_3312,c_3882,c_7313]) ).
tcf(c_11730,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xl)))
| ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_89]) ).
tcf(c_11733,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5370,c_91]) ).
tcf(c_11734,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(xl,xp)
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_5229]) ).
tcf(c_11735,plain,
( ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_90]) ).
tcf(c_11738,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtsldt0(sz00,xl),X0) ),
inference(superposition,[status(thm)],[c_5370,c_87]) ).
tcf(c_11739,plain,
( sdtlseqdt0(xl,sz00)
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_85]) ).
tcf(c_11740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( xl = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_87]) ).
tcf(c_11741,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ( sdtasdt0(X0,sdtsldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5370,c_92]) ).
tcf(c_11742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sz00)
| ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_89]) ).
tcf(c_11743,plain,
( ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11739,c_3315,c_49]) ).
tcf(c_11748,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11733,c_58,c_49]) ).
tcf(c_11753,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ( sdtasdt0(X0,sdtsldt0(sz00,xl)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11741,c_49]) ).
tcf(c_11759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sz00)
| ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11742,c_49]) ).
tcf(c_11766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sz00)
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11740,c_58,c_49]) ).
tcf(c_11772,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(sdtsldt0(sz00,xl),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11738,c_58,c_49]) ).
tcf(c_11778,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xl)))
| ( X0 = xl )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11730,c_49]) ).
tcf(c_11791,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2938,c_109]) ).
tcf(c_11792,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_2938,c_8700]) ).
tcf(c_11794,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(xl,xq) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xl) ),
inference(superposition,[status(thm)],[c_2938,c_110]) ).
tcf(c_11795,plain,
( ( sK1 = sz00 )
| ( sdtpldt0(xl,sK2(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2938,c_73]) ).
tcf(c_11796,plain,
( ( sK1 = sz00 )
| ( sdtpldt0(xl,sK2(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11795,c_49,c_2518]) ).
tcf(c_11799,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(xl,xq) = xl )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11794,c_49,c_2518]) ).
tcf(c_11803,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11791,c_49,c_2518]) ).
tcf(c_11808,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11792,c_49,c_2518]) ).
tcf(c_11818,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_4157,c_109]) ).
tcf(c_11819,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_4157,c_8700]) ).
tcf(c_11821,plain,
( sdtlseqdt0(xm,xp)
| ( sdtasdt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_4157,c_110]) ).
tcf(c_11822,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_4157,c_73]) ).
tcf(c_11823,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11822,c_62,c_2518]) ).
tcf(c_11826,plain,
( sdtlseqdt0(xm,xp)
| ( sdtasdt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11821,c_62,c_2518]) ).
tcf(c_11830,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11818,c_62,c_2518]) ).
tcf(c_11835,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11819,c_62,c_2518]) ).
tcf(c_11841,plain,
xm != sz00,
inference(global_subsumption_just,[status(thm)],[c_3882,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_3882,c_7313]) ).
tcf(c_11843,plain,
sdtasdt0(xl,xq) != sz00,
inference(backward_subsumption_resolution,[status(thm)],[c_2969,c_11841]) ).
tcf(c_11868,plain,
( ( sK2(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xq)) ),
inference(global_subsumption_just,[status(thm)],[c_10094,c_103,c_2464,c_4510]) ).
tcf(c_11874,plain,
( ( sK2(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,xq) ),
inference(superposition,[status(thm)],[c_72,c_11868]) ).
tcf(c_11875,plain,
sK2(xq,xq) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11874,c_62,c_2622]) ).
tcf(c_11876,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(demodulation,[status(thm)],[c_6824,c_11875]) ).
tcf(c_11879,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(demodulation,[status(thm)],[c_8518,c_11875]) ).
tcf(c_11885,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(demodulation,[status(thm)],[c_8498,c_11875]) ).
tcf(c_11891,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11885,c_103]) ).
tcf(c_11897,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11879,c_103]) ).
tcf(c_11905,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8805,c_11875]) ).
tcf(c_11906,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11905,c_103]) ).
tcf(c_11927,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_11906,c_109]) ).
tcf(c_11930,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_11906,c_110]) ).
tcf(c_11931,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_11906,c_73]) ).
tcf(c_11932,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11931,c_59]) ).
tcf(c_11940,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11930,c_59]) ).
tcf(c_11949,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11927,c_59]) ).
tcf(c_11961,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8799,c_11875]) ).
tcf(c_11962,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11961,c_103]) ).
tcf(c_11984,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_11962]) ).
tcf(c_11985,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_68,c_11962]) ).
tcf(c_11986,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70,c_11962]) ).
tcf(c_11987,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_145,c_11962]) ).
tcf(c_11988,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_11962]) ).
tcf(c_11989,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_87,c_11962]) ).
tcf(c_11990,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_89,c_11962]) ).
tcf(c_11992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_11962]) ).
tcf(c_11993,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_11962]) ).
tcf(c_12017,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3961,c_11962]) ).
tcf(c_12018,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3944,c_11962]) ).
tcf(c_12020,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_11962]) ).
tcf(c_12021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5155,c_11962]) ).
tcf(c_12022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5229,c_11962]) ).
tcf(c_12030,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6431,c_11962]) ).
tcf(c_12031,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_11962]) ).
tcf(c_12036,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6431,c_11962]) ).
tcf(c_12068,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12017,c_62]) ).
tcf(c_12075,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12020,c_62]) ).
tcf(c_12106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12021,c_62]) ).
tcf(c_12115,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12022,c_62]) ).
tcf(c_12125,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12030,c_59]) ).
tcf(c_12181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(light_normalisation,[status(thm)],[c_8801,c_11875]) ).
tcf(c_12182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12181,c_103]) ).
tcf(c_12202,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_145,c_12182]) ).
tcf(c_12203,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_85,c_12182]) ).
tcf(c_12205,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_12182]) ).
tcf(c_12206,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_12182]) ).
tcf(c_12240,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8802,c_11875]) ).
tcf(c_12252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8806,c_11875]) ).
tcf(c_12268,plain,
sdtpldt0(xl,sK2(xl,xm)) = xm,
inference(global_subsumption_just,[status(thm)],[c_3446,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_3446,c_7313]) ).
tcf(c_12270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,xm)),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(superposition,[status(thm)],[c_12268,c_70]) ).
tcf(c_12271,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(superposition,[status(thm)],[c_12268,c_5155]) ).
tcf(c_12276,plain,
( sdtlseqdt0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(superposition,[status(thm)],[c_12268,c_145]) ).
tcf(c_12278,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(superposition,[status(thm)],[c_12268,c_70]) ).
tcf(c_12279,plain,
! [X0: $i] :
( ( sK2(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_12268,c_76]) ).
tcf(c_12280,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sK2(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ~ sdtlseqdt0(sK2(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_12268,c_68]) ).
tcf(c_12281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sK2(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ~ sdtlseqdt0(X0,sK2(xl,xm)) ),
inference(superposition,[status(thm)],[c_12268,c_68]) ).
tcf(c_12282,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,xm))
| ~ doDivides0(X0,sK2(xl,xm)) ),
inference(superposition,[status(thm)],[c_12268,c_98]) ).
tcf(c_12283,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ( sdtpldt0(X0,sK2(xl,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_12268,c_77]) ).
tcf(c_12284,plain,
( sdtlseqdt0(xl,xm)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12276,c_49]) ).
tcf(c_12287,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12271,c_49]) ).
tcf(c_12291,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ( sdtpldt0(X0,sK2(xl,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12283,c_49]) ).
tcf(c_12296,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,xm))
| ~ doDivides0(X0,sK2(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12282,c_49]) ).
tcf(c_12302,plain,
! [X0: $i] :
( ( sK2(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ( sdtpldt0(xl,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12279,c_49]) ).
tcf(c_12307,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12278,c_49]) ).
tcf(c_12313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,xm)),xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12270,c_49]) ).
tcf(c_12319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),xm)
| ( sK2(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ~ sdtlseqdt0(X0,sK2(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12281,c_49]) ).
tcf(c_12325,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xl,X0))
| ( sK2(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,xm))
| ~ sdtlseqdt0(sK2(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12280,c_49]) ).
tcf(c_12338,plain,
sdtlseqdt0(xl,xm),
inference(global_subsumption_just,[status(thm)],[c_12284,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_2932,c_3070,c_3212,c_7313]) ).
tcf(c_12340,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_12338,c_109]) ).
tcf(c_12343,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_12338,c_3979]) ).
tcf(c_12344,plain,
( ( xl = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xm,xl) ),
inference(superposition,[status(thm)],[c_12338,c_110]) ).
tcf(c_12346,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12343,c_50,c_49]) ).
tcf(c_12349,plain,
( ( xl = xm )
| ~ sdtlseqdt0(xm,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12344,c_50,c_49]) ).
tcf(c_12352,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12340,c_50,c_49]) ).
tcf(c_12369,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK1,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_3560]) ).
tcf(c_12370,plain,
! [X0: $i] :
( doDivides0(sK1,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3560]) ).
tcf(c_12372,plain,
! [X0: $i] :
( doDivides0(sK1,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12370,c_103]) ).
tcf(c_12376,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK1,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12369,c_103]) ).
tcf(c_12389,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_12346,c_109]) ).
tcf(c_12393,plain,
( sdtlseqdt0(xl,xp)
| ( xm = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xq) ),
inference(superposition,[status(thm)],[c_12346,c_110]) ).
tcf(c_12394,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK2(xq,xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_12346,c_73]) ).
tcf(c_12395,plain,
( sdtlseqdt0(xl,xp)
| ( sdtpldt0(xq,sK2(xq,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12394,c_62,c_50]) ).
tcf(c_12398,plain,
( sdtlseqdt0(xl,xp)
| ( xm = xq )
| ~ sdtlseqdt0(xm,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12393,c_62,c_50]) ).
tcf(c_12402,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12389,c_62,c_50]) ).
tcf(c_12414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4216,c_109]) ).
tcf(c_12415,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4216,c_11962]) ).
tcf(c_12416,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4216,c_8700]) ).
tcf(c_12418,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4216,c_110]) ).
tcf(c_12419,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4216,c_73]) ).
tcf(c_12423,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4216,c_5863]) ).
tcf(c_12424,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4216,c_109]) ).
tcf(c_12428,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4216,c_110]) ).
tcf(c_12429,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4216,c_73]) ).
tcf(c_12433,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4216,c_5910]) ).
tcf(c_12434,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12429,c_59]) ).
tcf(c_12438,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12428,c_59]) ).
tcf(c_12443,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12419,c_103]) ).
tcf(c_12447,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12418,c_103]) ).
tcf(c_12452,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_12424,c_59]) ).
tcf(c_12458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12414,c_103]) ).
tcf(c_12464,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12433,c_59]) ).
tcf(c_12469,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_12423,c_2464]) ).
tcf(c_12470,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12415,c_103]) ).
tcf(c_12477,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12416,c_103]) ).
tcf(c_12664,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_3564]) ).
tcf(c_12665,plain,
! [X0: $i] :
( doDivides0(sK0,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3564]) ).
tcf(c_12667,plain,
! [X0: $i] :
( doDivides0(sK0,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12665,c_103]) ).
tcf(c_12671,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12664,c_103]) ).
tcf(c_12706,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_98,c_3568]) ).
tcf(c_12707,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3568]) ).
tcf(c_12709,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12707,c_103]) ).
tcf(c_12713,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_12706,c_103]) ).
tcf(c_12724,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8809,c_11875]) ).
tcf(c_12725,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12724,c_103]) ).
tcf(c_12741,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12725,c_109]) ).
tcf(c_12744,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12725,c_3979]) ).
tcf(c_12745,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_12725,c_110]) ).
tcf(c_12746,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12725,c_73]) ).
tcf(c_12751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12725,c_5863]) ).
tcf(c_12783,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8967,c_11875]) ).
tcf(c_12786,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8961,c_11875]) ).
tcf(c_12787,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(light_normalisation,[status(thm)],[c_8963,c_11875]) ).
tcf(c_12788,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,xp)
| sdtlseqdt0(xq,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_8964,c_11875]) ).
tcf(c_12795,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_98,c_3572]) ).
tcf(c_12796,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3572]) ).
tcf(c_12798,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12796,c_103]) ).
tcf(c_12802,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_12795,c_103]) ).
tcf(c_12817,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_3576]) ).
tcf(c_12818,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3576]) ).
tcf(c_12820,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12818,c_103]) ).
tcf(c_12824,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12817,c_103]) ).
tcf(c_12839,plain,
! [X0: $i,X1: $i] :
( doDivides0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_3580]) ).
tcf(c_12840,plain,
! [X0: $i] :
( doDivides0(xq,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3580]) ).
tcf(c_12842,plain,
! [X0: $i] :
( doDivides0(xq,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12840,c_103]) ).
tcf(c_12846,plain,
! [X0: $i,X1: $i] :
( doDivides0(xq,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12839,c_103]) ).
tcf(c_12861,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_98,c_3584]) ).
tcf(c_12862,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3584]) ).
tcf(c_12864,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12862,c_103]) ).
tcf(c_12868,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_12861,c_103]) ).
tcf(c_12883,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_3588]) ).
tcf(c_12884,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_142,c_3588]) ).
tcf(c_12886,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12884,c_50]) ).
tcf(c_12890,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12883,c_50]) ).
tcf(c_12908,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3652]) ).
tcf(c_12914,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_3652]) ).
tcf(c_12915,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12908,c_103]) ).
tcf(c_12919,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_12914,c_2464]) ).
tcf(c_12926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_12915,c_109]) ).
tcf(c_12927,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12915,c_11962]) ).
tcf(c_12928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12915,c_8700]) ).
tcf(c_12930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_12915,c_110]) ).
tcf(c_12931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12915,c_73]) ).
tcf(c_12938,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12915,c_109]) ).
tcf(c_12940,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12915,c_8700]) ).
tcf(c_12942,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_12915,c_110]) ).
tcf(c_12943,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12915,c_73]) ).
tcf(c_12945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12915,c_3985]) ).
tcf(c_12948,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12915,c_8702]) ).
tcf(c_12949,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xq))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12915,c_5910]) ).
tcf(c_12955,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xq)) = xq )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12943,c_62]) ).
tcf(c_12959,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12942,c_62]) ).
tcf(c_12964,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12931,c_103]) ).
tcf(c_12968,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12930,c_103]) ).
tcf(c_12973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12938,c_62]) ).
tcf(c_12979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12926,c_103]) ).
tcf(c_12985,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xq))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12949,c_62]) ).
tcf(c_12990,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12927,c_103]) ).
tcf(c_12997,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12948,c_62]) ).
tcf(c_13003,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12940,c_62]) ).
tcf(c_13010,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12928,c_103]) ).
tcf(c_13123,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)))
| ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_89]) ).
tcf(c_13126,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3490,c_91]) ).
tcf(c_13127,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_5229]) ).
tcf(c_13128,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_90]) ).
tcf(c_13131,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sdtasdt0(xl,xq) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK3(sdtasdt0(xl,xq),sz00),X0) ),
inference(superposition,[status(thm)],[c_3490,c_87]) ).
tcf(c_13132,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_85]) ).
tcf(c_13133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sdtasdt0(xl,xq) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_87]) ).
tcf(c_13134,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3490,c_92]) ).
tcf(c_13135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_89]) ).
tcf(c_13140,plain,
( ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13128,c_11843,c_2518]) ).
tcf(c_13144,plain,
! [X0: $i] :
( ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13126,c_11843,c_2518]) ).
tcf(c_13149,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13134,c_2518]) ).
tcf(c_13155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13135,c_2518]) ).
tcf(c_13162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13133,c_11843,c_2518]) ).
tcf(c_13168,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK3(sdtasdt0(xl,xq),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13131,c_11843,c_2518]) ).
tcf(c_13174,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)))
| ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13123,c_2518]) ).
tcf(c_13190,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3660]) ).
tcf(c_13196,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3660]) ).
tcf(c_13197,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_3660]) ).
tcf(c_13198,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13190,c_103]) ).
tcf(c_13203,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sK1)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_13197,c_2464]) ).
tcf(c_13299,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK1)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13198,c_109]) ).
tcf(c_13300,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13198,c_11962]) ).
tcf(c_13301,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13198,c_8700]) ).
tcf(c_13303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13198,c_110]) ).
tcf(c_13304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13198,c_73]) ).
tcf(c_13312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13198,c_109]) ).
tcf(c_13314,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13198,c_8700]) ).
tcf(c_13315,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13198,c_3979]) ).
tcf(c_13316,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_13198,c_110]) ).
tcf(c_13317,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,sK1)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13198,c_73]) ).
tcf(c_13320,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13198,c_8702]) ).
tcf(c_13321,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK1))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13198,c_5910]) ).
tcf(c_13323,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,sK1)) = sK1 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13317,c_55]) ).
tcf(c_13327,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13316,c_55]) ).
tcf(c_13332,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13304,c_103]) ).
tcf(c_13336,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13303,c_103]) ).
tcf(c_13341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13312,c_55]) ).
tcf(c_13347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK1)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13299,c_103]) ).
tcf(c_13353,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK1))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13321,c_55]) ).
tcf(c_13358,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13300,c_103]) ).
tcf(c_13365,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13320,c_55]) ).
tcf(c_13371,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13314,c_55]) ).
tcf(c_13378,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13301,c_103]) ).
tcf(c_13414,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3664]) ).
tcf(c_13421,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3664]) ).
tcf(c_13422,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_3664]) ).
tcf(c_13423,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13414,c_103]) ).
tcf(c_13428,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sK0)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_13422,c_2464]) ).
tcf(c_13435,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13423,c_109]) ).
tcf(c_13436,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13423,c_11962]) ).
tcf(c_13437,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13423,c_8700]) ).
tcf(c_13439,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13423,c_110]) ).
tcf(c_13440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13423,c_73]) ).
tcf(c_13449,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13423,c_109]) ).
tcf(c_13451,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13423,c_8700]) ).
tcf(c_13452,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13423,c_3979]) ).
tcf(c_13453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_13423,c_110]) ).
tcf(c_13454,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,sK0)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13423,c_73]) ).
tcf(c_13457,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13423,c_8702]) ).
tcf(c_13458,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK0))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13423,c_5910]) ).
tcf(c_13460,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,sK0)) = sK0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13454,c_52]) ).
tcf(c_13464,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13453,c_52]) ).
tcf(c_13469,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13440,c_103]) ).
tcf(c_13473,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13439,c_103]) ).
tcf(c_13478,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13449,c_52]) ).
tcf(c_13484,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13435,c_103]) ).
tcf(c_13490,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK0))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13458,c_52]) ).
tcf(c_13495,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13436,c_103]) ).
tcf(c_13502,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13457,c_52]) ).
tcf(c_13508,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13451,c_52]) ).
tcf(c_13515,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13437,c_103]) ).
tcf(c_13560,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3668]) ).
tcf(c_13568,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3668]) ).
tcf(c_13569,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_3668]) ).
tcf(c_13570,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13560,c_103]) ).
tcf(c_13575,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_13569,c_2464]) ).
tcf(c_13582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13570,c_109]) ).
tcf(c_13583,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13570,c_11962]) ).
tcf(c_13584,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13570,c_8700]) ).
tcf(c_13586,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13570,c_110]) ).
tcf(c_13587,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13570,c_73]) ).
tcf(c_13597,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13570,c_109]) ).
tcf(c_13599,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13570,c_8700]) ).
tcf(c_13600,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13570,c_3979]) ).
tcf(c_13601,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_13570,c_110]) ).
tcf(c_13602,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13570,c_73]) ).
tcf(c_13605,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13570,c_8702]) ).
tcf(c_13606,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xn))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13570,c_5910]) ).
tcf(c_13608,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13602,c_51]) ).
tcf(c_13612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13601,c_51]) ).
tcf(c_13617,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13587,c_103]) ).
tcf(c_13621,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13586,c_103]) ).
tcf(c_13626,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_13597,c_51]) ).
tcf(c_13632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13582,c_103]) ).
tcf(c_13638,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xn))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13606,c_51]) ).
tcf(c_13643,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13583,c_103]) ).
tcf(c_13650,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13605,c_51]) ).
tcf(c_13656,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13599,c_51]) ).
tcf(c_13663,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13584,c_103]) ).
tcf(c_13679,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3672]) ).
tcf(c_13688,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3672]) ).
tcf(c_13689,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_3672]) ).
tcf(c_13690,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13679,c_103]) ).
tcf(c_13695,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_13689,c_2464]) ).
tcf(c_13702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13690,c_109]) ).
tcf(c_13703,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13690,c_11962]) ).
tcf(c_13704,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13690,c_8700]) ).
tcf(c_13706,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13690,c_110]) ).
tcf(c_13707,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13690,c_73]) ).
tcf(c_13718,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13690,c_109]) ).
tcf(c_13721,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13690,c_3979]) ).
tcf(c_13722,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_13690,c_110]) ).
tcf(c_13723,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13690,c_73]) ).
tcf(c_13727,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13690,c_5910]) ).
tcf(c_13729,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13723,c_50]) ).
tcf(c_13733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13722,c_50]) ).
tcf(c_13738,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13707,c_103]) ).
tcf(c_13742,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13706,c_103]) ).
tcf(c_13747,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_13718,c_50]) ).
tcf(c_13753,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13702,c_103]) ).
tcf(c_13759,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13727,c_50]) ).
tcf(c_13764,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13703,c_103]) ).
tcf(c_13771,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13704,c_103]) ).
tcf(c_13831,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11891,c_11962]) ).
tcf(c_13855,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11447,c_109]) ).
tcf(c_13856,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11447,c_11962]) ).
tcf(c_13857,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11447,c_8700]) ).
tcf(c_13859,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_11447,c_110]) ).
tcf(c_13860,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11447,c_73]) ).
tcf(c_13871,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13860,c_103]) ).
tcf(c_13877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13855,c_103]) ).
tcf(c_13884,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13856,c_103]) ).
tcf(c_13905,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_3676]) ).
tcf(c_13916,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_3676]) ).
tcf(c_13917,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_3676]) ).
tcf(c_13918,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13905,c_103]) ).
tcf(c_13923,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_13917,c_2464]) ).
tcf(c_13930,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13918,c_109]) ).
tcf(c_13931,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13918,c_11962]) ).
tcf(c_13932,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13918,c_8700]) ).
tcf(c_13934,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_13918,c_110]) ).
tcf(c_13935,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_73]) ).
tcf(c_13947,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13918,c_109]) ).
tcf(c_13950,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_3979]) ).
tcf(c_13951,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_13918,c_110]) ).
tcf(c_13952,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xl)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_73]) ).
tcf(c_13957,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xl))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13918,c_5910]) ).
tcf(c_13959,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK2(X0,xl)) = xl )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13952,c_49]) ).
tcf(c_13963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13951,c_49]) ).
tcf(c_13968,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13935,c_103]) ).
tcf(c_13972,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13934,c_103]) ).
tcf(c_13977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13947,c_49]) ).
tcf(c_13983,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xl)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13930,c_103]) ).
tcf(c_13989,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xl))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13957,c_49]) ).
tcf(c_13994,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13931,c_103]) ).
tcf(c_14001,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13932,c_103]) ).
tcf(c_14094,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_12352]) ).
tcf(c_14095,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_12352]) ).
tcf(c_14098,plain,
( sdtlseqdt0(xq,xm)
| ( sdtpldt0(xl,sK2(xl,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_3961,c_12352]) ).
tcf(c_14109,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_12352]) ).
tcf(c_14111,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xl),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_12352]) ).
tcf(c_14112,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14095,c_49]) ).
tcf(c_14116,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14094,c_49]) ).
tcf(c_14121,plain,
( sdtlseqdt0(xq,xm)
| ( sdtpldt0(xl,sK2(xl,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14098,c_62,c_49]) ).
tcf(c_14124,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14109,c_62,c_49]) ).
tcf(c_14129,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xl),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14111,c_49]) ).
tcf(c_14164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14112,c_109]) ).
tcf(c_14165,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14112,c_11962]) ).
tcf(c_14166,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14112,c_8700]) ).
tcf(c_14168,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14112,c_110]) ).
tcf(c_14169,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xl,sK2(xl,X0)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14112,c_73]) ).
tcf(c_14183,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_14112,c_109]) ).
tcf(c_14186,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xl,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14112,c_3979]) ).
tcf(c_14187,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_14112,c_110]) ).
tcf(c_14188,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14112,c_73]) ).
tcf(c_14192,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14112,c_5910]) ).
tcf(c_14194,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14188,c_50]) ).
tcf(c_14198,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14187,c_50]) ).
tcf(c_14203,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xl,sK2(xl,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14169,c_49]) ).
tcf(c_14207,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14168,c_49]) ).
tcf(c_14212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xl,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14183,c_50]) ).
tcf(c_14218,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14164,c_49]) ).
tcf(c_14224,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14192,c_50]) ).
tcf(c_14229,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14165,c_49]) ).
tcf(c_14236,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14166,c_49]) ).
tcf(c_14272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_5194,c_109]) ).
tcf(c_14276,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(xp,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_5194,c_110]) ).
tcf(c_14277,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_5194,c_73]) ).
tcf(c_14278,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14277,c_59,c_2518]) ).
tcf(c_14281,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14276,c_59,c_2518]) ).
tcf(c_14285,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14272,c_59,c_2518]) ).
tcf(c_14295,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_2699]) ).
tcf(c_14296,plain,
sdtpldt0(xl,xn) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_51,c_2699]) ).
tcf(c_14297,plain,
sdtpldt0(xl,sK0) = sdtpldt0(sK0,xl),
inference(superposition,[status(thm)],[c_52,c_2699]) ).
tcf(c_14298,plain,
sdtpldt0(xl,sK1) = sdtpldt0(sK1,xl),
inference(superposition,[status(thm)],[c_55,c_2699]) ).
tcf(c_14299,plain,
sdtpldt0(xl,xp) = sdtpldt0(xp,xl),
inference(superposition,[status(thm)],[c_59,c_2699]) ).
tcf(c_14300,plain,
sdtpldt0(xl,xq) = sdtpldt0(xq,xl),
inference(superposition,[status(thm)],[c_62,c_2699]) ).
tcf(c_14301,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2699]) ).
tcf(c_14302,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),xl) = sdtpldt0(xl,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2699]) ).
tcf(c_14303,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xl) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2699]) ).
tcf(c_14304,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xl) = sdtpldt0(xl,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2699]) ).
tcf(c_14305,plain,
sdtpldt0(xl,sz00) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_103,c_2699]) ).
tcf(c_14306,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xl) = sdtpldt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2699]) ).
tcf(c_14307,plain,
sdtpldt0(sdtasdt0(xl,xq),xl) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2699]) ).
tcf(c_14370,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_10332]) ).
tcf(c_14383,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_10332]) ).
tcf(c_14384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_10332]) ).
tcf(c_14386,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_14384,c_2464]) ).
tcf(c_14428,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xl,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_2537,c_8652]) ).
tcf(c_14429,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != xl ) ),
inference(superposition,[status(thm)],[c_3046,c_8652]) ).
tcf(c_14430,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != xm ) ),
inference(superposition,[status(thm)],[c_3045,c_8652]) ).
tcf(c_14431,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != xn ) ),
inference(superposition,[status(thm)],[c_3044,c_8652]) ).
tcf(c_14432,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != sK0 ) ),
inference(superposition,[status(thm)],[c_3043,c_8652]) ).
tcf(c_14433,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != sK1 ) ),
inference(superposition,[status(thm)],[c_3042,c_8652]) ).
tcf(c_14434,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_3041,c_8652]) ).
tcf(c_14435,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != xq ) ),
inference(superposition,[status(thm)],[c_3040,c_8652]) ).
tcf(c_14472,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xl,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14428,c_2518]) ).
tcf(c_14477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10326,c_84,c_10326]) ).
tcf(c_14494,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_14477]) ).
tcf(c_14495,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_63,c_14477]) ).
tcf(c_14498,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3036,c_14477]) ).
tcf(c_14501,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2460,c_14477]) ).
tcf(c_14502,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2461,c_14477]) ).
tcf(c_14503,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2462,c_14477]) ).
tcf(c_14504,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2464,c_14477]) ).
tcf(c_14513,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_2538,c_14477]) ).
tcf(c_14514,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3055,c_14477]) ).
tcf(c_14518,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(superposition,[status(thm)],[c_3032,c_14477]) ).
tcf(c_14519,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(superposition,[status(thm)],[c_3031,c_14477]) ).
tcf(c_14520,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(superposition,[status(thm)],[c_3030,c_14477]) ).
tcf(c_14523,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_14477]) ).
tcf(c_14524,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_3043,c_14477]) ).
tcf(c_14525,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1)) ),
inference(superposition,[status(thm)],[c_3042,c_14477]) ).
tcf(c_14527,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_14477]) ).
tcf(c_14530,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_14477]) ).
tcf(c_14548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_70]) ).
tcf(c_14549,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_14477]) ).
tcf(c_14557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_70]) ).
tcf(c_14558,plain,
! [X0: $i] :
( ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_3894,c_76]) ).
tcf(c_14559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_3894,c_68]) ).
tcf(c_14560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_68]) ).
tcf(c_14561,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_98]) ).
tcf(c_14562,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_3894,c_77]) ).
tcf(c_14563,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_3894,c_8652]) ).
tcf(c_14564,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14562,c_103]) ).
tcf(c_14569,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14561,c_103]) ).
tcf(c_14575,plain,
! [X0: $i] :
( ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14558,c_103]) ).
tcf(c_14580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14557,c_103]) ).
tcf(c_14587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14548,c_103]) ).
tcf(c_14593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xq))
| ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14560,c_103]) ).
tcf(c_14599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14559,c_103]) ).
tcf(c_14646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_14295,c_70]) ).
tcf(c_14647,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_14295,c_14477]) ).
tcf(c_14648,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14295,c_5155]) ).
tcf(c_14652,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_14295,c_74]) ).
tcf(c_14653,plain,
( sdtlseqdt0(xm,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14295,c_145]) ).
tcf(c_14654,plain,
( aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14295,c_84]) ).
tcf(c_14655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_14295,c_70]) ).
tcf(c_14656,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14295,c_76]) ).
tcf(c_14657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14295,c_68]) ).
tcf(c_14658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14295,c_68]) ).
tcf(c_14659,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_14295,c_98]) ).
tcf(c_14660,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14295,c_77]) ).
tcf(c_14661,plain,
aNaturalNumber0(sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_14654,c_50,c_49]) ).
tcf(c_14662,plain,
sdtlseqdt0(xm,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_14653,c_50,c_49]) ).
tcf(c_14663,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14648,c_50,c_49]) ).
tcf(c_14666,plain,
sdtpldt0(xl,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_14652,c_11841,c_50,c_49]) ).
tcf(c_14667,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14660,c_50,c_49]) ).
tcf(c_14671,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14659,c_50,c_49]) ).
tcf(c_14676,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14656,c_50,c_49]) ).
tcf(c_14680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14658,c_50,c_49]) ).
tcf(c_14685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14657,c_50,c_49]) ).
tcf(c_14690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14655,c_50,c_49]) ).
tcf(c_14695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14646,c_50,c_49]) ).
tcf(c_14700,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14647,c_50,c_49]) ).
tcf(c_14749,plain,
sdtpldt0(sdtpldt0(xl,xm),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2699]) ).
tcf(c_14750,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,xm)),sdtasdt0(X0,sdtpldt0(xl,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14661,c_79]) ).
tcf(c_14751,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xm),X1),sdtasdt0(sdtpldt0(xl,xm),X0)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14661,c_78]) ).
tcf(c_14752,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xm),X1),X0) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14661,c_95]) ).
tcf(c_14753,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xm),X1),X0) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14661,c_82]) ).
tcf(c_14754,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14661,c_152]) ).
tcf(c_14755,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xm),X0) = sdtasdt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14661,c_96]) ).
tcf(c_14756,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xm),X0) = sdtpldt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14661,c_83]) ).
tcf(c_14757,plain,
sdtasdt0(sz00,sdtpldt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_14661,c_94]) ).
tcf(c_14758,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_14661,c_93]) ).
tcf(c_14759,plain,
sdtpldt0(sz00,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_14661,c_81]) ).
tcf(c_14760,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_14661,c_80]) ).
tcf(c_14805,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14662,c_109]) ).
tcf(c_14806,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14662,c_11962]) ).
tcf(c_14807,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_14662,c_8700]) ).
tcf(c_14809,plain,
( ( sdtpldt0(xl,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xm) ),
inference(superposition,[status(thm)],[c_14662,c_110]) ).
tcf(c_14810,plain,
( ( sdtpldt0(xm,sK2(xm,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14662,c_73]) ).
tcf(c_14811,plain,
sdtpldt0(xm,sK2(xm,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_14810,c_50,c_14661]) ).
tcf(c_14812,plain,
( ( sdtpldt0(xl,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14809,c_50,c_14661]) ).
tcf(c_14815,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14805,c_50,c_14661]) ).
tcf(c_14819,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14806,c_50,c_14661]) ).
tcf(c_14841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_14296,c_70]) ).
tcf(c_14842,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_14296,c_14477]) ).
tcf(c_14843,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14296,c_5155]) ).
tcf(c_14846,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_14296,c_75]) ).
tcf(c_14847,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_14296,c_74]) ).
tcf(c_14848,plain,
( sdtlseqdt0(xn,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14296,c_145]) ).
tcf(c_14849,plain,
( aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14296,c_84]) ).
tcf(c_14850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_14296,c_70]) ).
tcf(c_14851,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_14296,c_76]) ).
tcf(c_14852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14296,c_68]) ).
tcf(c_14853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14296,c_68]) ).
tcf(c_14854,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_14296,c_98]) ).
tcf(c_14855,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_14296,c_77]) ).
tcf(c_14856,plain,
aNaturalNumber0(sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_14849,c_51,c_49]) ).
tcf(c_14857,plain,
sdtlseqdt0(xn,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_14848,c_51,c_49]) ).
tcf(c_14858,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14843,c_51,c_49]) ).
tcf(c_14864,plain,
sdtpldt0(xl,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_14846,c_58,c_51,c_49]) ).
tcf(c_14865,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14855,c_51,c_49]) ).
tcf(c_14869,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14854,c_51,c_49]) ).
tcf(c_14874,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14851,c_51,c_49]) ).
tcf(c_14878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14853,c_51,c_49]) ).
tcf(c_14883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14852,c_51,c_49]) ).
tcf(c_14888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,xl))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14850,c_51,c_49]) ).
tcf(c_14893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14841,c_51,c_49]) ).
tcf(c_14898,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14842,c_51,c_49]) ).
tcf(c_15037,plain,
sdtpldt0(sdtpldt0(xl,xn),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2699]) ).
tcf(c_15038,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,xn)),sdtasdt0(X0,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14856,c_79]) ).
tcf(c_15039,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X1),sdtasdt0(sdtpldt0(xl,xn),X0)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14856,c_78]) ).
tcf(c_15040,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X1),X0) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14856,c_95]) ).
tcf(c_15041,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X1),X0) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14856,c_82]) ).
tcf(c_15042,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14856,c_152]) ).
tcf(c_15043,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xn),X0) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14856,c_96]) ).
tcf(c_15044,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xn),X0) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14856,c_83]) ).
tcf(c_15045,plain,
sdtasdt0(sz00,sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_14856,c_94]) ).
tcf(c_15046,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_14856,c_93]) ).
tcf(c_15047,plain,
sdtpldt0(sz00,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_14856,c_81]) ).
tcf(c_15048,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_14856,c_80]) ).
tcf(c_15150,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14857,c_109]) ).
tcf(c_15151,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14857,c_11962]) ).
tcf(c_15152,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_14857,c_8700]) ).
tcf(c_15154,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(superposition,[status(thm)],[c_14857,c_110]) ).
tcf(c_15155,plain,
( ( sdtpldt0(xn,sK2(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14857,c_73]) ).
tcf(c_15156,plain,
sdtpldt0(xn,sK2(xn,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_15155,c_51,c_14856]) ).
tcf(c_15157,plain,
( ( sdtpldt0(xl,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15154,c_51,c_14856]) ).
tcf(c_15160,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15150,c_51,c_14856]) ).
tcf(c_15164,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15151,c_51,c_14856]) ).
tcf(c_15212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_8658,c_109]) ).
tcf(c_15213,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_8658,c_11962]) ).
tcf(c_15214,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_8658,c_8700]) ).
tcf(c_15215,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_8658,c_3979]) ).
tcf(c_15216,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_8658,c_110]) ).
tcf(c_15217,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_8658,c_73]) ).
tcf(c_15218,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_8658,c_12182]) ).
tcf(c_15219,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_8658,c_8702]) ).
tcf(c_15220,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_8658,c_5910]) ).
tcf(c_15595,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ( X0 = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_8665,c_59,c_3073,c_3184,c_4445,c_5778,c_10934]) ).
tcf(c_15596,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(renaming,[status(thm)],[c_15595]) ).
tcf(c_15606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_15596]) ).
tcf(c_15619,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_15596]) ).
tcf(c_15621,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15606,c_103]) ).
tcf(c_15630,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10327,c_97,c_10327]) ).
tcf(c_15648,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_15630]) ).
tcf(c_15650,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_535,c_15630]) ).
tcf(c_15653,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK3(sz00,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3167,c_15630]) ).
tcf(c_15661,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2494,c_15630]) ).
tcf(c_15662,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2495,c_15630]) ).
tcf(c_15663,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2496,c_15630]) ).
tcf(c_15664,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2497,c_15630]) ).
tcf(c_15665,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2498,c_15630]) ).
tcf(c_15666,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2499,c_15630]) ).
tcf(c_15667,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2500,c_15630]) ).
tcf(c_15668,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2535,c_15630]) ).
tcf(c_15671,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_15630]) ).
tcf(c_15672,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_15630]) ).
tcf(c_15673,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK3(xp,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3174,c_15630]) ).
tcf(c_15674,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3173,c_15630]) ).
tcf(c_15675,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK3(xl,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3172,c_15630]) ).
tcf(c_15676,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK3(xm,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3171,c_15630]) ).
tcf(c_15677,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3170,c_15630]) ).
tcf(c_15678,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3169,c_15630]) ).
tcf(c_15679,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3168,c_15630]) ).
tcf(c_15680,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_15630]) ).
tcf(c_15681,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15667,c_62,c_103,c_2614]) ).
tcf(c_15686,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15666,c_59,c_103,c_2614]) ).
tcf(c_15691,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15665,c_103,c_55,c_2614]) ).
tcf(c_15696,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15664,c_103,c_52,c_2614]) ).
tcf(c_15701,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15663,c_103,c_51,c_2614]) ).
tcf(c_15709,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15679,c_55,c_2614]) ).
tcf(c_15715,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15678,c_52,c_2614]) ).
tcf(c_15721,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15677,c_51,c_2614]) ).
tcf(c_15727,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK3(xm,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15676,c_50,c_2614]) ).
tcf(c_15733,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK3(xl,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15675,c_49,c_2614]) ).
tcf(c_15739,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15674,c_62,c_2614]) ).
tcf(c_15745,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK3(xp,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15673,c_59,c_2614]) ).
tcf(c_15751,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15672,c_49,c_2614]) ).
tcf(c_15758,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK3(sz00,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15653,c_103,c_2614]) ).
tcf(c_15765,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15671,c_49]) ).
tcf(c_15772,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15680,c_2614,c_2518]) ).
tcf(c_15792,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_8672]) ).
tcf(c_15793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_8672]) ).
tcf(c_15794,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3961,c_8672]) ).
tcf(c_15795,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_8672]) ).
tcf(c_15796,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_8672]) ).
tcf(c_15797,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_8672]) ).
tcf(c_15798,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_8672]) ).
tcf(c_15799,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_8672]) ).
tcf(c_15800,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13423,c_8672]) ).
tcf(c_15801,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13198,c_8672]) ).
tcf(c_15802,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_8672]) ).
tcf(c_15803,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_8672]) ).
tcf(c_15804,plain,
( sdtlseqdt0(sdtpldt0(sz00,xl),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_8672]) ).
tcf(c_15805,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_8672]) ).
tcf(c_15806,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6346,c_8672]) ).
tcf(c_15807,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15804,c_2470]) ).
tcf(c_15808,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15807,c_49]) ).
tcf(c_15814,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15803,c_2465]) ).
tcf(c_15815,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15814,c_103]) ).
tcf(c_15821,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15802,c_2465]) ).
tcf(c_15822,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15821,c_103]) ).
tcf(c_15828,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15801,c_2465]) ).
tcf(c_15829,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15828,c_103]) ).
tcf(c_15835,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15800,c_2465]) ).
tcf(c_15836,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15835,c_103]) ).
tcf(c_15842,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15799,c_2465]) ).
tcf(c_15843,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15842,c_103]) ).
tcf(c_15849,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15798,c_2465]) ).
tcf(c_15850,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15849,c_103]) ).
tcf(c_15856,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15796,c_2465]) ).
tcf(c_15857,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15856,c_103]) ).
tcf(c_15863,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15795,c_2476]) ).
tcf(c_15864,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15863,c_62]) ).
tcf(c_15883,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15805,c_2476]) ).
tcf(c_15884,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15883,c_62]) ).
tcf(c_15898,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15794,c_2476]) ).
tcf(c_15899,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15898,c_62]) ).
tcf(c_15905,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15797,c_2465]) ).
tcf(c_15906,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15905,c_103]) ).
tcf(c_15927,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_145,c_8679]) ).
tcf(c_15928,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_85,c_8679]) ).
tcf(c_15930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_8679]) ).
tcf(c_15931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_8679]) ).
tcf(c_15932,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_8679]) ).
tcf(c_15933,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_8679]) ).
tcf(c_15934,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_8679]) ).
tcf(c_15935,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3970,c_8679]) ).
tcf(c_15936,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_8679]) ).
tcf(c_15937,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_8679]) ).
tcf(c_15938,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_8679]) ).
tcf(c_15939,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_8679]) ).
tcf(c_15940,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_8679]) ).
tcf(c_15941,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13423,c_8679]) ).
tcf(c_15942,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13198,c_8679]) ).
tcf(c_15943,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11891,c_8679]) ).
tcf(c_15944,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12725,c_8679]) ).
tcf(c_15945,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_6696,c_8679]) ).
tcf(c_15946,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6431,c_8679]) ).
tcf(c_15947,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15942,c_2474]) ).
tcf(c_15948,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15947,c_55]) ).
tcf(c_15954,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15941,c_2473]) ).
tcf(c_15955,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15954,c_52]) ).
tcf(c_15961,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15940,c_2472]) ).
tcf(c_15962,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15961,c_51]) ).
tcf(c_15968,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15939,c_2470]) ).
tcf(c_15969,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15968,c_49]) ).
tcf(c_15975,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15938,c_2471]) ).
tcf(c_15976,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15975,c_50]) ).
tcf(c_15982,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15937,c_2471]) ).
tcf(c_15983,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15982,c_50]) ).
tcf(c_15989,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15936,c_2475]) ).
tcf(c_15990,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15989,c_59]) ).
tcf(c_15996,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15933,c_2475]) ).
tcf(c_15997,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15996,c_59]) ).
tcf(c_16003,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15932,c_2476]) ).
tcf(c_16004,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16003,c_62]) ).
tcf(c_16029,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15934,c_2475]) ).
tcf(c_16030,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16029,c_59]) ).
tcf(c_16050,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_15935,c_2475]) ).
tcf(c_16051,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16050,c_59]) ).
tcf(c_16082,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xq)))
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_89]) ).
tcf(c_16084,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_15630]) ).
tcf(c_16086,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5371,c_91]) ).
tcf(c_16088,plain,
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_90]) ).
tcf(c_16091,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(sdtsldt0(sz00,xq),X0) ),
inference(superposition,[status(thm)],[c_5371,c_87]) ).
tcf(c_16092,plain,
( sdtlseqdt0(xq,sz00)
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_85]) ).
tcf(c_16093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_87]) ).
tcf(c_16094,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(X0,sdtsldt0(sz00,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5371,c_92]) ).
tcf(c_16095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sz00)
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_89]) ).
tcf(c_16096,plain,
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16088,c_62]) ).
tcf(c_16101,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16086,c_62]) ).
tcf(c_16107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16093,c_62]) ).
tcf(c_16114,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(sdtsldt0(sz00,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16091,c_62]) ).
tcf(c_16121,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ( sdtasdt0(X0,sdtsldt0(sz00,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16094,c_62]) ).
tcf(c_16128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sz00)
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16095,c_62]) ).
tcf(c_16136,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xq)))
| ( sz00 = xq )
| ( X0 = xq )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16082,c_62]) ).
tcf(c_16144,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16084,c_62,c_2614]) ).
tcf(c_16153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_14297,c_70]) ).
tcf(c_16154,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_14297,c_14477]) ).
tcf(c_16155,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14297,c_5155]) ).
tcf(c_16158,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14297,c_75]) ).
tcf(c_16159,plain,
( ( sK0 = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14297,c_74]) ).
tcf(c_16160,plain,
( sdtlseqdt0(sK0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14297,c_145]) ).
tcf(c_16161,plain,
( aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14297,c_84]) ).
tcf(c_16162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,xl))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_14297,c_70]) ).
tcf(c_16163,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_14297,c_76]) ).
tcf(c_16164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sK0,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14297,c_68]) ).
tcf(c_16165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xl,sK0))
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14297,c_68]) ).
tcf(c_16166,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_14297,c_98]) ).
tcf(c_16167,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_14297,c_77]) ).
tcf(c_16168,plain,
aNaturalNumber0(sdtpldt0(xl,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_16161,c_52,c_49]) ).
tcf(c_16169,plain,
sdtlseqdt0(sK0,sdtpldt0(xl,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_16160,c_52,c_49]) ).
tcf(c_16170,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16155,c_52,c_49]) ).
tcf(c_16176,plain,
sdtpldt0(xl,sK0) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_16158,c_58,c_52,c_49]) ).
tcf(c_16177,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16167,c_52,c_49]) ).
tcf(c_16181,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16166,c_52,c_49]) ).
tcf(c_16186,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16163,c_52,c_49]) ).
tcf(c_16190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xl,sK0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16165,c_52,c_49]) ).
tcf(c_16195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sK0,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16164,c_52,c_49]) ).
tcf(c_16200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,xl))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16162,c_52,c_49]) ).
tcf(c_16205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16153,c_52,c_49]) ).
tcf(c_16210,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16154,c_52,c_49]) ).
tcf(c_16243,plain,
sdtpldt0(sdtpldt0(xl,sK0),xl) = sdtpldt0(xl,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2699]) ).
tcf(c_16244,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sK0)),sdtasdt0(X0,sdtpldt0(xl,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16168,c_79]) ).
tcf(c_16245,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sK0),X1),sdtasdt0(sdtpldt0(xl,sK0),X0)) = sdtasdt0(sdtpldt0(xl,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16168,c_78]) ).
tcf(c_16246,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sK0),X1),X0) = sdtasdt0(sdtpldt0(xl,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16168,c_95]) ).
tcf(c_16247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sK0),X1),X0) = sdtpldt0(sdtpldt0(xl,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16168,c_82]) ).
tcf(c_16248,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16168,c_152]) ).
tcf(c_16249,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sK0),X0) = sdtasdt0(X0,sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16168,c_96]) ).
tcf(c_16250,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sK0),X0) = sdtpldt0(X0,sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16168,c_83]) ).
tcf(c_16251,plain,
sdtasdt0(sz00,sdtpldt0(xl,sK0)) = sz00,
inference(superposition,[status(thm)],[c_16168,c_94]) ).
tcf(c_16252,plain,
sdtasdt0(sdtpldt0(xl,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_16168,c_93]) ).
tcf(c_16253,plain,
sdtpldt0(sz00,sdtpldt0(xl,sK0)) = sdtpldt0(xl,sK0),
inference(superposition,[status(thm)],[c_16168,c_81]) ).
tcf(c_16254,plain,
sdtpldt0(sdtpldt0(xl,sK0),sz00) = sdtpldt0(xl,sK0),
inference(superposition,[status(thm)],[c_16168,c_80]) ).
tcf(c_16362,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16169,c_109]) ).
tcf(c_16363,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16169,c_11962]) ).
tcf(c_16364,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_16169,c_8700]) ).
tcf(c_16366,plain,
( ( sdtpldt0(xl,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sK0) ),
inference(superposition,[status(thm)],[c_16169,c_110]) ).
tcf(c_16367,plain,
( ( sdtpldt0(sK0,sK2(sK0,sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16169,c_73]) ).
tcf(c_16368,plain,
sdtpldt0(sK0,sK2(sK0,sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_16367,c_52,c_16168]) ).
tcf(c_16369,plain,
( ( sdtpldt0(xl,sK0) = sK0 )
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16366,c_52,c_16168]) ).
tcf(c_16372,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16362,c_52,c_16168]) ).
tcf(c_16376,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16363,c_52,c_16168]) ).
tcf(c_16383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_14298,c_70]) ).
tcf(c_16384,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_14298,c_14477]) ).
tcf(c_16385,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14298,c_5155]) ).
tcf(c_16388,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_14298,c_75]) ).
tcf(c_16389,plain,
( ( sK1 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_14298,c_74]) ).
tcf(c_16390,plain,
( sdtlseqdt0(sK1,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14298,c_145]) ).
tcf(c_16391,plain,
( aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14298,c_84]) ).
tcf(c_16392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,xl))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_14298,c_70]) ).
tcf(c_16393,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_14298,c_76]) ).
tcf(c_16394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sK1,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14298,c_68]) ).
tcf(c_16395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xl,sK1))
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14298,c_68]) ).
tcf(c_16396,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_14298,c_98]) ).
tcf(c_16397,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_14298,c_77]) ).
tcf(c_16398,plain,
aNaturalNumber0(sdtpldt0(xl,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_16391,c_55,c_49]) ).
tcf(c_16399,plain,
sdtlseqdt0(sK1,sdtpldt0(xl,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_16390,c_55,c_49]) ).
tcf(c_16400,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16385,c_55,c_49]) ).
tcf(c_16406,plain,
sdtpldt0(xl,sK1) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_16388,c_58,c_55,c_49]) ).
tcf(c_16407,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16397,c_55,c_49]) ).
tcf(c_16411,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16396,c_55,c_49]) ).
tcf(c_16416,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16393,c_55,c_49]) ).
tcf(c_16420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xl,sK1))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16395,c_55,c_49]) ).
tcf(c_16425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sK1,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16394,c_55,c_49]) ).
tcf(c_16430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,xl))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16392,c_55,c_49]) ).
tcf(c_16435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16383,c_55,c_49]) ).
tcf(c_16440,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16384,c_55,c_49]) ).
tcf(c_16523,plain,
sdtpldt0(sdtpldt0(xl,sK1),xl) = sdtpldt0(xl,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2699]) ).
tcf(c_16524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sK1)),sdtasdt0(X0,sdtpldt0(xl,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16398,c_79]) ).
tcf(c_16525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sK1),X1),sdtasdt0(sdtpldt0(xl,sK1),X0)) = sdtasdt0(sdtpldt0(xl,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16398,c_78]) ).
tcf(c_16526,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sK1),X1),X0) = sdtasdt0(sdtpldt0(xl,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16398,c_95]) ).
tcf(c_16527,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sK1),X1),X0) = sdtpldt0(sdtpldt0(xl,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16398,c_82]) ).
tcf(c_16528,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16398,c_152]) ).
tcf(c_16529,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sK1),X0) = sdtasdt0(X0,sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16398,c_96]) ).
tcf(c_16530,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sK1),X0) = sdtpldt0(X0,sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16398,c_83]) ).
tcf(c_16531,plain,
sdtasdt0(sz00,sdtpldt0(xl,sK1)) = sz00,
inference(superposition,[status(thm)],[c_16398,c_94]) ).
tcf(c_16532,plain,
sdtasdt0(sdtpldt0(xl,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_16398,c_93]) ).
tcf(c_16533,plain,
sdtpldt0(sz00,sdtpldt0(xl,sK1)) = sdtpldt0(xl,sK1),
inference(superposition,[status(thm)],[c_16398,c_81]) ).
tcf(c_16534,plain,
sdtpldt0(sdtpldt0(xl,sK1),sz00) = sdtpldt0(xl,sK1),
inference(superposition,[status(thm)],[c_16398,c_80]) ).
tcf(c_16561,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16399,c_109]) ).
tcf(c_16562,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16399,c_11962]) ).
tcf(c_16563,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_16399,c_8700]) ).
tcf(c_16565,plain,
( ( sdtpldt0(xl,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sK1) ),
inference(superposition,[status(thm)],[c_16399,c_110]) ).
tcf(c_16566,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16399,c_73]) ).
tcf(c_16567,plain,
sdtpldt0(sK1,sK2(sK1,sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_16566,c_55,c_16398]) ).
tcf(c_16568,plain,
( ( sdtpldt0(xl,sK1) = sK1 )
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16565,c_55,c_16398]) ).
tcf(c_16571,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16561,c_55,c_16398]) ).
tcf(c_16575,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16562,c_55,c_16398]) ).
tcf(c_16582,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_15945,c_8631,c_15945]) ).
tcf(c_16583,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_16582]) ).
tcf(c_16594,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_109]) ).
tcf(c_16595,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_11962]) ).
tcf(c_16596,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_8700]) ).
tcf(c_16597,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_3979]) ).
tcf(c_16598,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_16583,c_110]) ).
tcf(c_16599,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_73]) ).
tcf(c_16600,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_12182]) ).
tcf(c_16601,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_8702]) ).
tcf(c_16602,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_5910]) ).
tcf(c_16675,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(instantiation,[status(thm)],[c_16594]) ).
tcf(c_16765,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11369,c_84]) ).
tcf(c_16783,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_108,c_16765]) ).
tcf(c_16786,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_9016,c_11875]) ).
tcf(c_16787,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_9025,c_11875]) ).
tcf(c_16789,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_11484,c_11875]) ).
tcf(c_16809,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_11488,c_11875]) ).
tcf(c_16823,plain,
sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00,
inference(global_subsumption_just,[status(thm)],[c_5374,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2591,c_2615,c_2889,c_3070,c_3208]) ).
tcf(c_16825,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_89]) ).
tcf(c_16827,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_15630]) ).
tcf(c_16829,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16823,c_91]) ).
tcf(c_16831,plain,
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_90]) ).
tcf(c_16834,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_16823,c_87]) ).
tcf(c_16835,plain,
( sdtlseqdt0(xp,sz00)
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_85]) ).
tcf(c_16836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_87]) ).
tcf(c_16837,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16823,c_92]) ).
tcf(c_16838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_89]) ).
tcf(c_16839,plain,
( ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16835,c_11287,c_59]) ).
tcf(c_16843,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16829,c_59]) ).
tcf(c_16849,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16837,c_59]) ).
tcf(c_16855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16838,c_59]) ).
tcf(c_16862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16836,c_59]) ).
tcf(c_16869,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16834,c_59]) ).
tcf(c_16876,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16825,c_59]) ).
tcf(c_16883,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16827,c_59,c_2614]) ).
tcf(c_16889,plain,
( ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != xq ) ),
inference(superposition,[status(thm)],[c_14299,c_65]) ).
tcf(c_16890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_14299,c_70]) ).
tcf(c_16891,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_14299,c_14477]) ).
tcf(c_16895,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_14299,c_75]) ).
tcf(c_16896,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_14299,c_74]) ).
tcf(c_16897,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14299,c_145]) ).
tcf(c_16898,plain,
( aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14299,c_84]) ).
tcf(c_16899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_14299,c_70]) ).
tcf(c_16900,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_14299,c_76]) ).
tcf(c_16901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14299,c_68]) ).
tcf(c_16902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14299,c_68]) ).
tcf(c_16903,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_14299,c_98]) ).
tcf(c_16904,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_14299,c_77]) ).
tcf(c_16905,plain,
aNaturalNumber0(sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_16898,c_59,c_49]) ).
tcf(c_16906,plain,
sdtpldt0(xl,xp) != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_16889,c_49]) ).
tcf(c_16907,plain,
sdtlseqdt0(xp,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_16897,c_59,c_49]) ).
tcf(c_16911,plain,
sdtpldt0(xl,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_16895,c_58,c_59,c_49]) ).
tcf(c_16912,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16904,c_59,c_49]) ).
tcf(c_16916,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16903,c_59,c_49]) ).
tcf(c_16921,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16900,c_59,c_49]) ).
tcf(c_16925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16902,c_59,c_49]) ).
tcf(c_16930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16901,c_59,c_49]) ).
tcf(c_16935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16899,c_59,c_49]) ).
tcf(c_16940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16890,c_59,c_49]) ).
tcf(c_16945,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16891,c_59,c_49]) ).
tcf(c_16955,plain,
sdtpldt0(sdtpldt0(xl,xp),xl) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2699]) ).
tcf(c_16956,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,xp)),sdtasdt0(X0,sdtpldt0(xl,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16905,c_79]) ).
tcf(c_16957,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xp),X1),sdtasdt0(sdtpldt0(xl,xp),X0)) = sdtasdt0(sdtpldt0(xl,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16905,c_78]) ).
tcf(c_16958,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xp),X1),X0) = sdtasdt0(sdtpldt0(xl,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16905,c_95]) ).
tcf(c_16959,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xp),X1),X0) = sdtpldt0(sdtpldt0(xl,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16905,c_82]) ).
tcf(c_16960,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16905,c_152]) ).
tcf(c_16961,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xp),X0) = sdtasdt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16905,c_96]) ).
tcf(c_16962,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xp),X0) = sdtpldt0(X0,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16905,c_83]) ).
tcf(c_16963,plain,
sdtasdt0(sz00,sdtpldt0(xl,xp)) = sz00,
inference(superposition,[status(thm)],[c_16905,c_94]) ).
tcf(c_16964,plain,
sdtasdt0(sdtpldt0(xl,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_16905,c_93]) ).
tcf(c_16965,plain,
sdtpldt0(sz00,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_16905,c_81]) ).
tcf(c_16966,plain,
sdtpldt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_16905,c_80]) ).
tcf(c_17065,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16907,c_109]) ).
tcf(c_17066,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16907,c_11962]) ).
tcf(c_17067,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_16907,c_8700]) ).
tcf(c_17069,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(superposition,[status(thm)],[c_16907,c_110]) ).
tcf(c_17070,plain,
( ( sdtpldt0(xp,sK2(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16907,c_73]) ).
tcf(c_17071,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16907,c_3965]) ).
tcf(c_17072,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17071,c_16905]) ).
tcf(c_17075,plain,
sdtpldt0(xp,sK2(xp,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17070,c_59,c_16905]) ).
tcf(c_17076,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17069,c_59,c_16905]) ).
tcf(c_17079,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17065,c_59,c_16905]) ).
tcf(c_17083,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17066,c_59,c_16905]) ).
tcf(c_17090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_14300,c_70]) ).
tcf(c_17091,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_14300,c_14477]) ).
tcf(c_17095,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_14300,c_75]) ).
tcf(c_17096,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_14300,c_74]) ).
tcf(c_17097,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14300,c_145]) ).
tcf(c_17098,plain,
( aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_14300,c_84]) ).
tcf(c_17099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_14300,c_70]) ).
tcf(c_17100,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_14300,c_76]) ).
tcf(c_17101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_14300,c_68]) ).
tcf(c_17102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_14300,c_68]) ).
tcf(c_17103,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xl) ),
inference(superposition,[status(thm)],[c_14300,c_98]) ).
tcf(c_17104,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_14300,c_77]) ).
tcf(c_17107,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_6431]) ).
tcf(c_17108,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_6346]) ).
tcf(c_17109,plain,
( ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xl,xq) != xp ) ),
inference(superposition,[status(thm)],[c_14300,c_4453]) ).
tcf(c_17110,plain,
aNaturalNumber0(sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_17098,c_62,c_49]) ).
tcf(c_17111,plain,
sdtlseqdt0(xq,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_17097,c_62,c_49]) ).
tcf(c_17115,plain,
sdtpldt0(xl,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17095,c_58,c_62,c_49]) ).
tcf(c_17116,plain,
( ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xl,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17109,c_49]) ).
tcf(c_17120,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17104,c_62,c_49]) ).
tcf(c_17124,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17103,c_62,c_49]) ).
tcf(c_17129,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17100,c_62,c_49]) ).
tcf(c_17133,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17108,c_49]) ).
tcf(c_17138,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17107,c_49]) ).
tcf(c_17143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17102,c_62,c_49]) ).
tcf(c_17148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17101,c_62,c_49]) ).
tcf(c_17153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,xl))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17099,c_62,c_49]) ).
tcf(c_17158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17090,c_62,c_49]) ).
tcf(c_17163,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17091,c_62,c_49]) ).
tcf(c_17173,plain,
sdtpldt0(sdtpldt0(xl,xq),xl) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2699]) ).
tcf(c_17174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,xq)),sdtasdt0(X0,sdtpldt0(xl,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17110,c_79]) ).
tcf(c_17175,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xq),X1),sdtasdt0(sdtpldt0(xl,xq),X0)) = sdtasdt0(sdtpldt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17110,c_78]) ).
tcf(c_17176,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xq),X1),X0) = sdtasdt0(sdtpldt0(xl,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17110,c_95]) ).
tcf(c_17177,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xq),X1),X0) = sdtpldt0(sdtpldt0(xl,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17110,c_82]) ).
tcf(c_17178,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17110,c_152]) ).
tcf(c_17179,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xq),X0) = sdtasdt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17110,c_96]) ).
tcf(c_17180,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xq),X0) = sdtpldt0(X0,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17110,c_83]) ).
tcf(c_17181,plain,
sdtasdt0(sz00,sdtpldt0(xl,xq)) = sz00,
inference(superposition,[status(thm)],[c_17110,c_94]) ).
tcf(c_17182,plain,
sdtasdt0(sdtpldt0(xl,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_17110,c_93]) ).
tcf(c_17183,plain,
sdtpldt0(sz00,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_17110,c_81]) ).
tcf(c_17184,plain,
sdtpldt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_17110,c_80]) ).
tcf(c_17325,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17111,c_109]) ).
tcf(c_17326,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17111,c_11962]) ).
tcf(c_17327,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_17111,c_8700]) ).
tcf(c_17329,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_17111,c_110]) ).
tcf(c_17330,plain,
( ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17111,c_73]) ).
tcf(c_17331,plain,
sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_17330,c_62,c_17110]) ).
tcf(c_17332,plain,
( ( sdtpldt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17329,c_62,c_17110]) ).
tcf(c_17335,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17325,c_62,c_17110]) ).
tcf(c_17339,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17326,c_62,c_17110]) ).
tcf(c_17353,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11370,c_97]) ).
tcf(c_17374,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_108,c_17353]) ).
tcf(c_17380,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10324,c_84,c_10324]) ).
tcf(c_17392,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17380,c_84]) ).
tcf(c_17422,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_17392]) ).
tcf(c_17423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_63,c_17392]) ).
tcf(c_17424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2465,c_17392]) ).
tcf(c_17426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3036,c_17392]) ).
tcf(c_17429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2460,c_17392]) ).
tcf(c_17430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2461,c_17392]) ).
tcf(c_17431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2462,c_17392]) ).
tcf(c_17432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2464,c_17392]) ).
tcf(c_17435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2472,c_17392]) ).
tcf(c_17436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2473,c_17392]) ).
tcf(c_17437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2474,c_17392]) ).
tcf(c_17439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2476,c_17392]) ).
tcf(c_17440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2537,c_17392]) ).
tcf(c_17441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_2538,c_17392]) ).
tcf(c_17442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3055,c_17392]) ).
tcf(c_17446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xn,xn))
| ~ sdtlseqdt0(X0,sK2(xn,xn)) ),
inference(superposition,[status(thm)],[c_3032,c_17392]) ).
tcf(c_17447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ~ sdtlseqdt0(X0,sK2(sK0,sK0)) ),
inference(superposition,[status(thm)],[c_3031,c_17392]) ).
tcf(c_17448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ~ sdtlseqdt0(X0,sK2(sK1,sK1)) ),
inference(superposition,[status(thm)],[c_3030,c_17392]) ).
tcf(c_17451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_17392]) ).
tcf(c_17452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(X0,sK2(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_3043,c_17392]) ).
tcf(c_17453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(X0,sK2(sz00,sK1)) ),
inference(superposition,[status(thm)],[c_3042,c_17392]) ).
tcf(c_17455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_17392]) ).
tcf(c_17458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_17392]) ).
tcf(c_17459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_17392]) ).
tcf(c_17460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_14300,c_17392]) ).
tcf(c_17461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_14299,c_17392]) ).
tcf(c_17462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_14295,c_17392]) ).
tcf(c_17463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_14296,c_17392]) ).
tcf(c_17464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_14297,c_17392]) ).
tcf(c_17465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_14298,c_17392]) ).
tcf(c_17466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17424,c_103,c_2614]) ).
tcf(c_17473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17439,c_62,c_103]) ).
tcf(c_17481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17437,c_103,c_55]) ).
tcf(c_17489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17436,c_103,c_52]) ).
tcf(c_17497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17435,c_103,c_51]) ).
tcf(c_17505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17432,c_62,c_103]) ).
tcf(c_17513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17431,c_103,c_55]) ).
tcf(c_17521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17430,c_103,c_52]) ).
tcf(c_17529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17429,c_103,c_51]) ).
tcf(c_17537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17465,c_55,c_49]) ).
tcf(c_17545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17464,c_52,c_49]) ).
tcf(c_17553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17463,c_51,c_49]) ).
tcf(c_17561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17462,c_50,c_49]) ).
tcf(c_17569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17461,c_59,c_49]) ).
tcf(c_17577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17460,c_62,c_49]) ).
tcf(c_17585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17423,c_51,c_50]) ).
tcf(c_17593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17455,c_103]) ).
tcf(c_17602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(X0,sK2(sz00,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17453,c_103]) ).
tcf(c_17611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(X0,sK2(sz00,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17452,c_103]) ).
tcf(c_17620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17451,c_103]) ).
tcf(c_17629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK1,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK1,sK1))
| ~ sdtlseqdt0(X0,sK2(sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17448,c_55]) ).
tcf(c_17638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK0,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK0,sK0))
| ~ sdtlseqdt0(X0,sK2(sK0,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17447,c_52]) ).
tcf(c_17647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xn,xn))
| ~ sdtlseqdt0(X0,sK2(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17446,c_51]) ).
tcf(c_17656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17441,c_103,c_2518]) ).
tcf(c_17664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17426,c_103,c_2614]) ).
tcf(c_17672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17440,c_103,c_2518]) ).
tcf(c_17680,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17422,c_103]) ).
tcf(c_17691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17459,c_103]) ).
tcf(c_17700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17458,c_103]) ).
tcf(c_17709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xm,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17442,c_50]) ).
tcf(c_17813,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10325,c_84,c_10325]) ).
tcf(c_17825,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17813,c_84]) ).
tcf(c_17855,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_17825]) ).
tcf(c_17856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_63,c_17825]) ).
tcf(c_17857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2465,c_17825]) ).
tcf(c_17859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sz00)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_3036,c_17825]) ).
tcf(c_17862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2460,c_17825]) ).
tcf(c_17863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2461,c_17825]) ).
tcf(c_17864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2462,c_17825]) ).
tcf(c_17865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2464,c_17825]) ).
tcf(c_17868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2472,c_17825]) ).
tcf(c_17869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2473,c_17825]) ).
tcf(c_17870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK1),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2474,c_17825]) ).
tcf(c_17872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2476,c_17825]) ).
tcf(c_17873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_2537,c_17825]) ).
tcf(c_17874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2538,c_17825]) ).
tcf(c_17875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3055,c_17825]) ).
tcf(c_17879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,xn)),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(superposition,[status(thm)],[c_3032,c_17825]) ).
tcf(c_17880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,sK0)),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(superposition,[status(thm)],[c_3031,c_17825]) ).
tcf(c_17881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK1,sK1)),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(superposition,[status(thm)],[c_3030,c_17825]) ).
tcf(c_17884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_17825]) ).
tcf(c_17885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_3043,c_17825]) ).
tcf(c_17886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1)) ),
inference(superposition,[status(thm)],[c_3042,c_17825]) ).
tcf(c_17888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_17825]) ).
tcf(c_17891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_17825]) ).
tcf(c_17892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_17825]) ).
tcf(c_17893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_14300,c_17825]) ).
tcf(c_17894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_14299,c_17825]) ).
tcf(c_17895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_14295,c_17825]) ).
tcf(c_17896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_14296,c_17825]) ).
tcf(c_17897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_14297,c_17825]) ).
tcf(c_17898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_14298,c_17825]) ).
tcf(c_17899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17857,c_103,c_2614]) ).
tcf(c_17906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17872,c_62,c_103]) ).
tcf(c_17914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK1),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17870,c_103,c_55]) ).
tcf(c_17922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17869,c_103,c_52]) ).
tcf(c_17930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17868,c_103,c_51]) ).
tcf(c_17938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17865,c_62,c_103]) ).
tcf(c_17946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17864,c_103,c_55]) ).
tcf(c_17954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17863,c_103,c_52]) ).
tcf(c_17962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17862,c_103,c_51]) ).
tcf(c_17970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17898,c_55,c_49]) ).
tcf(c_17978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17897,c_52,c_49]) ).
tcf(c_17986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17896,c_51,c_49]) ).
tcf(c_17994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17895,c_50,c_49]) ).
tcf(c_18002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17894,c_59,c_49]) ).
tcf(c_18010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17893,c_62,c_49]) ).
tcf(c_18018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17856,c_51,c_50]) ).
tcf(c_18026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17888,c_103]) ).
tcf(c_18035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17886,c_103]) ).
tcf(c_18044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17885,c_103]) ).
tcf(c_18053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17884,c_103]) ).
tcf(c_18062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK1,sK1)),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17881,c_55]) ).
tcf(c_18071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,sK0)),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17880,c_52]) ).
tcf(c_18080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,xn)),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17879,c_51]) ).
tcf(c_18089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sz00)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17859,c_103,c_2614]) ).
tcf(c_18097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17873,c_103,c_2518]) ).
tcf(c_18105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17874,c_103,c_2518]) ).
tcf(c_18113,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17855,c_103]) ).
tcf(c_18124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17892,c_103]) ).
tcf(c_18133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17891,c_103]) ).
tcf(c_18142,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17875,c_50]) ).
tcf(c_18278,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10328,c_97,c_10328]) ).
tcf(c_18291,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18278,c_97]) ).
tcf(c_18324,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_18291]) ).
tcf(c_18326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( xl = sz00 )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_535,c_18291]) ).
tcf(c_18330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( xl = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2482,c_18291]) ).
tcf(c_18331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2483,c_18291]) ).
tcf(c_18332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2484,c_18291]) ).
tcf(c_18333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2485,c_18291]) ).
tcf(c_18334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2486,c_18291]) ).
tcf(c_18335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2487,c_18291]) ).
tcf(c_18336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2488,c_18291]) ).
tcf(c_18345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2536,c_18291]) ).
tcf(c_18347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_18291]) ).
tcf(c_18348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_18291]) ).
tcf(c_18349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_18291]) ).
tcf(c_18350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xp,sz00)) ),
inference(superposition,[status(thm)],[c_3174,c_18291]) ).
tcf(c_18351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,sz00)) ),
inference(superposition,[status(thm)],[c_3173,c_18291]) ).
tcf(c_18352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( xl = sz00 )
| ( sK3(xl,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xl,sz00)) ),
inference(superposition,[status(thm)],[c_3172,c_18291]) ).
tcf(c_18353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK2(xq,xp))
| ( xm = sz00 )
| ( sK3(xm,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_3171,c_18291]) ).
tcf(c_18354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xn,sz00)) ),
inference(superposition,[status(thm)],[c_3170,c_18291]) ).
tcf(c_18355,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(sK0,sz00)) ),
inference(superposition,[status(thm)],[c_3169,c_18291]) ).
tcf(c_18356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(sK1,sz00)) ),
inference(superposition,[status(thm)],[c_3168,c_18291]) ).
tcf(c_18357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_18291]) ).
tcf(c_18358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_18291]) ).
tcf(c_18359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18336,c_62,c_103,c_2614]) ).
tcf(c_18367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18335,c_59,c_103,c_2614]) ).
tcf(c_18375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18334,c_103,c_55,c_2614]) ).
tcf(c_18383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18333,c_103,c_52,c_2614]) ).
tcf(c_18391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18332,c_103,c_51,c_2614]) ).
tcf(c_18399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18331,c_11841,c_103,c_50,c_2614]) ).
tcf(c_18406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18330,c_58,c_103,c_49,c_2614]) ).
tcf(c_18413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18326,c_58,c_55,c_49]) ).
tcf(c_18421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18357,c_59,c_2614]) ).
tcf(c_18430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK3(sK1,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(sK1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18356,c_55,c_2614]) ).
tcf(c_18439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK3(sK0,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(sK0,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18355,c_52,c_2614]) ).
tcf(c_18448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( sK3(xn,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18354,c_51,c_2614]) ).
tcf(c_18457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK2(xq,xp))
| ( sK3(xm,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18353,c_11841,c_50,c_2614]) ).
tcf(c_18465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( sK3(xl,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xl,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18352,c_58,c_49,c_2614]) ).
tcf(c_18473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( sK3(xq,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xq,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18351,c_62,c_2614]) ).
tcf(c_18482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( sK3(xp,sz00) = X0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK3(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18350,c_59,c_2614]) ).
tcf(c_18491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18349,c_62,c_2614]) ).
tcf(c_18500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18348,c_58,c_49,c_2614]) ).
tcf(c_18508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18345,c_11843,c_103,c_2614,c_2518]) ).
tcf(c_18515,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18324,c_103]) ).
tcf(c_18527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18347,c_58,c_49]) ).
tcf(c_18536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18358,c_11843,c_2614,c_2518]) ).
tcf(c_18638,plain,
sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(sz00,sdtasdt0(xl,xq))) = sz00,
inference(global_subsumption_just,[status(thm)],[c_5379,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_2969,c_3070,c_3212,c_3882,c_5379,c_7313]) ).
tcf(c_18640,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_89]) ).
tcf(c_18642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_18291]) ).
tcf(c_18643,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_15630]) ).
tcf(c_18645,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18638,c_91]) ).
tcf(c_18646,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_5229]) ).
tcf(c_18647,plain,
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_90]) ).
tcf(c_18650,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_18638,c_87]) ).
tcf(c_18651,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_85]) ).
tcf(c_18652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sdtasdt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_87]) ).
tcf(c_18653,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18638,c_92]) ).
tcf(c_18654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_89]) ).
tcf(c_18659,plain,
( ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18647,c_11843,c_2518]) ).
tcf(c_18663,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(sdtasdt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18645,c_11843,c_2518]) ).
tcf(c_18668,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18653,c_2518]) ).
tcf(c_18674,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18643,c_2614,c_2518]) ).
tcf(c_18680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sz00)
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18654,c_2518]) ).
tcf(c_18687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sz00)
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18652,c_11843,c_2518]) ).
tcf(c_18693,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xq),X0))
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18650,c_11843,c_2518]) ).
tcf(c_18699,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18640,c_2518]) ).
tcf(c_18706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18642,c_11843,c_2614,c_2518]) ).
tcf(c_18714,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14757,c_89]) ).
tcf(c_18717,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14757,c_15630]) ).
tcf(c_18727,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(X0,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14757,c_92]) ).
tcf(c_18728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14757,c_89]) ).
tcf(c_18729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18727,c_14666,c_103,c_14661]) ).
tcf(c_18734,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18714,c_14666,c_103,c_14661]) ).
tcf(c_18742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14758,c_18291]) ).
tcf(c_18745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14758,c_91]) ).
tcf(c_18748,plain,
( doDivides0(sdtpldt0(xl,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14758,c_142]) ).
tcf(c_18750,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14758,c_87]) ).
tcf(c_18752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14758,c_87]) ).
tcf(c_18755,plain,
doDivides0(sdtpldt0(xl,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_18748,c_103,c_14661]) ).
tcf(c_18756,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18745,c_14666,c_103,c_14661]) ).
tcf(c_18761,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18750,c_14666,c_103,c_14661]) ).
tcf(c_18766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18742,c_14666,c_103,c_2614,c_14661]) ).
tcf(c_18773,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_18755,c_106]) ).
tcf(c_18774,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_18755,c_99]) ).
tcf(c_18775,plain,
( ( sdtasdt0(sdtpldt0(xl,xm),sK3(sdtpldt0(xl,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_18755,c_102]) ).
tcf(c_18776,plain,
sdtasdt0(sdtpldt0(xl,xm),sK3(sdtpldt0(xl,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18775,c_103,c_14661]) ).
tcf(c_18777,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18774,c_103,c_14661]) ).
tcf(c_18781,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(sz00,sdtpldt0(xl,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18773,c_14666,c_103,c_14661]) ).
tcf(c_18786,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14663,c_109]) ).
tcf(c_18787,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14663,c_11962]) ).
tcf(c_18788,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_14663,c_8700]) ).
tcf(c_18790,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xl,xm) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xq) ),
inference(superposition,[status(thm)],[c_14663,c_110]) ).
tcf(c_18791,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14663,c_73]) ).
tcf(c_18792,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18791,c_62,c_14661]) ).
tcf(c_18795,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xl,xm) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18790,c_62,c_14661]) ).
tcf(c_18799,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18786,c_62,c_14661]) ).
tcf(c_18804,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18787,c_62,c_14661]) ).
tcf(c_18810,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18788,c_62,c_14661]) ).
tcf(c_18821,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_109]) ).
tcf(c_18822,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_11962]) ).
tcf(c_18823,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_14858,c_8700]) ).
tcf(c_18825,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xl,xn) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xq) ),
inference(superposition,[status(thm)],[c_14858,c_110]) ).
tcf(c_18826,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_14858,c_73]) ).
tcf(c_18827,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18826,c_62,c_14856]) ).
tcf(c_18830,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xl,xn) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xn),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18825,c_62,c_14856]) ).
tcf(c_18834,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18821,c_62,c_14856]) ).
tcf(c_18839,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18822,c_62,c_14856]) ).
tcf(c_18845,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18823,c_62,c_14856]) ).
tcf(c_18852,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15045,c_89]) ).
tcf(c_18855,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15045,c_15630]) ).
tcf(c_18865,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(X0,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15045,c_92]) ).
tcf(c_18866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15045,c_89]) ).
tcf(c_18867,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18865,c_14864,c_103,c_14856]) ).
tcf(c_18872,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18852,c_14864,c_103,c_14856]) ).
tcf(c_18880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15046,c_18291]) ).
tcf(c_18883,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15046,c_91]) ).
tcf(c_18886,plain,
( doDivides0(sdtpldt0(xl,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15046,c_142]) ).
tcf(c_18888,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15046,c_87]) ).
tcf(c_18890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15046,c_87]) ).
tcf(c_18893,plain,
doDivides0(sdtpldt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_18886,c_103,c_14856]) ).
tcf(c_18894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18883,c_14864,c_103,c_14856]) ).
tcf(c_18899,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18888,c_14864,c_103,c_14856]) ).
tcf(c_18904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18880,c_14864,c_103,c_2614,c_14856]) ).
tcf(c_18969,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10329,c_97,c_10329]) ).
tcf(c_18982,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18969,c_97]) ).
tcf(c_19015,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_18982]) ).
tcf(c_19017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_535,c_18982]) ).
tcf(c_19020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sz00,sz00)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3167,c_18982]) ).
tcf(c_19028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sK2(xq,xp))
| ( xl = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2494,c_18982]) ).
tcf(c_19029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2495,c_18982]) ).
tcf(c_19030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2496,c_18982]) ).
tcf(c_19031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2497,c_18982]) ).
tcf(c_19032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2498,c_18982]) ).
tcf(c_19033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2499,c_18982]) ).
tcf(c_19034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2500,c_18982]) ).
tcf(c_19035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_2535,c_18982]) ).
tcf(c_19038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3176,c_18982]) ).
tcf(c_19039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_18982]) ).
tcf(c_19040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_5371,c_18982]) ).
tcf(c_19041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xp,sz00)),sK2(xq,xp))
| ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3174,c_18982]) ).
tcf(c_19042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xq,sz00)),sK2(xq,xp))
| ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3173,c_18982]) ).
tcf(c_19043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sz00)),sK2(xq,xp))
| ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3172,c_18982]) ).
tcf(c_19044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xm,sz00)),sK2(xq,xp))
| ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3171,c_18982]) ).
tcf(c_19045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xn,sz00)),sK2(xq,xp))
| ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3170,c_18982]) ).
tcf(c_19046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK0,sz00)),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3169,c_18982]) ).
tcf(c_19047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK1,sz00)),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3168,c_18982]) ).
tcf(c_19048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_16823,c_18982]) ).
tcf(c_19049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_18982]) ).
tcf(c_19050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_18982]) ).
tcf(c_19051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14757,c_18982]) ).
tcf(c_19053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15045,c_18982]) ).
tcf(c_19055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19034,c_62,c_103,c_2614]) ).
tcf(c_19063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19033,c_59,c_103,c_2614]) ).
tcf(c_19071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19032,c_103,c_55,c_2614]) ).
tcf(c_19079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19031,c_103,c_52,c_2614]) ).
tcf(c_19087,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19030,c_103,c_51,c_2614]) ).
tcf(c_19095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19029,c_11841,c_103,c_50,c_2614]) ).
tcf(c_19102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19028,c_58,c_103,c_49,c_2614]) ).
tcf(c_19109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19017,c_55,c_49]) ).
tcf(c_19118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19053,c_14864,c_103,c_2614,c_14856]) ).
tcf(c_19125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19051,c_14666,c_103,c_2614,c_14661]) ).
tcf(c_19132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19048,c_59,c_2614]) ).
tcf(c_19141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK1,sz00)),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19047,c_55,c_2614]) ).
tcf(c_19150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK0,sz00)),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19046,c_52,c_2614]) ).
tcf(c_19159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xn,sz00)),sK2(xq,xp))
| ( X0 = xn )
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19045,c_51,c_2614]) ).
tcf(c_19168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xm,sz00)),sK2(xq,xp))
| ( X0 = xm )
| ( sK3(xm,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19044,c_50,c_2614]) ).
tcf(c_19177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sz00)),sK2(xq,xp))
| ( X0 = xl )
| ( sK3(xl,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19043,c_49,c_2614]) ).
tcf(c_19186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xq,sz00)),sK2(xq,xp))
| ( X0 = xq )
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19042,c_62,c_2614]) ).
tcf(c_19195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xp,sz00)),sK2(xq,xp))
| ( X0 = xp )
| ( sK3(xp,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19041,c_59,c_2614]) ).
tcf(c_19204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xl)),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19039,c_49,c_2614]) ).
tcf(c_19213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19035,c_11843,c_103,c_2614,c_2518]) ).
tcf(c_19220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sz00,sz00)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK3(sz00,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK3(sz00,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19020,c_103,c_2614]) ).
tcf(c_19229,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19015,c_103]) ).
tcf(c_19241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xq)),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19040,c_62,c_2614]) ).
tcf(c_19251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ( sK3(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK3(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19038,c_49]) ).
tcf(c_19261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19050,c_2614,c_2518]) ).
tcf(c_19270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtasdt0(xl,xq),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19049,c_2614,c_2518]) ).
tcf(c_19359,plain,
! [X0: $i] :
( ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(X0)
| ( sK2(xq,xp) = sz00 )
| ( X0 = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_15214,c_8631,c_8639,c_15219,c_15621]) ).
tcf(c_19360,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(renaming,[status(thm)],[c_19359]) ).
tcf(c_19367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19360,c_84]) ).
tcf(c_19385,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_108,c_19367]) ).
tcf(c_19387,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19385,c_103]) ).
tcf(c_19394,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_16597,c_8631,c_16597]) ).
tcf(c_19395,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_19394]) ).
tcf(c_19412,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_19395]) ).
tcf(c_19413,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19412,c_103]) ).
tcf(c_19421,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_16595,c_103,c_8631,c_8635,c_16675]) ).
tcf(c_19422,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_19421]) ).
tcf(c_19437,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_19422]) ).
tcf(c_19438,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19437,c_103]) ).
tcf(c_19452,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_16596,c_8631,c_16596]) ).
tcf(c_19453,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_19452]) ).
tcf(c_19470,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_108,c_19453]) ).
tcf(c_19471,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19470,c_103]) ).
tcf(c_19479,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_16594,c_8631,c_16594]) ).
tcf(c_19480,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_19479]) ).
tcf(c_19500,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_19480]) ).
tcf(c_19501,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19500,c_103]) ).
tcf(c_19535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_6224,c_70]) ).
tcf(c_19536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_6224,c_17825]) ).
tcf(c_19537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_6224,c_17392]) ).
tcf(c_19538,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_6224,c_14477]) ).
tcf(c_19546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_6224,c_70]) ).
tcf(c_19547,plain,
! [X0: $i] :
( ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_6224,c_76]) ).
tcf(c_19548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_6224,c_68]) ).
tcf(c_19549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_6224,c_68]) ).
tcf(c_19551,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_6224,c_77]) ).
tcf(c_19552,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19551,c_2518]) ).
tcf(c_19557,plain,
! [X0: $i] :
( ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19547,c_2518]) ).
tcf(c_19563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19546,c_2518]) ).
tcf(c_19569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19535,c_2518]) ).
tcf(c_19575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtasdt0(xl,xq))
| ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19549,c_2518]) ).
tcf(c_19581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19548,c_2518]) ).
tcf(c_19587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19536,c_2518]) ).
tcf(c_19596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sdtasdt0(xl,xq),sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19537,c_2518]) ).
tcf(c_19632,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18893,c_106]) ).
tcf(c_19633,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18893,c_99]) ).
tcf(c_19634,plain,
( ( sdtasdt0(sdtpldt0(xl,xn),sK3(sdtpldt0(xl,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_18893,c_102]) ).
tcf(c_19635,plain,
sdtasdt0(sdtpldt0(xl,xn),sK3(sdtpldt0(xl,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19634,c_103,c_14856]) ).
tcf(c_19636,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19633,c_103,c_14856]) ).
tcf(c_19640,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(sz00,sdtpldt0(xl,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19632,c_14864,c_103,c_14856]) ).
tcf(c_19641,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16251,c_89]) ).
tcf(c_19643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16251,c_18982]) ).
tcf(c_19645,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16251,c_15630]) ).
tcf(c_19655,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtasdt0(X0,sdtpldt0(xl,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16251,c_92]) ).
tcf(c_19656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16251,c_89]) ).
tcf(c_19657,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19655,c_16176,c_103,c_16168]) ).
tcf(c_19662,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19641,c_16176,c_103,c_16168]) ).
tcf(c_19668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19643,c_16176,c_103,c_2614,c_16168]) ).
tcf(c_19698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16252,c_18291]) ).
tcf(c_19701,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtasdt0(sdtpldt0(xl,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16252,c_91]) ).
tcf(c_19704,plain,
( doDivides0(sdtpldt0(xl,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16252,c_142]) ).
tcf(c_19706,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16252,c_87]) ).
tcf(c_19708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16252,c_87]) ).
tcf(c_19711,plain,
doDivides0(sdtpldt0(xl,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_19704,c_103,c_16168]) ).
tcf(c_19712,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19701,c_16176,c_103,c_16168]) ).
tcf(c_19717,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19706,c_16176,c_103,c_16168]) ).
tcf(c_19722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19698,c_16176,c_103,c_2614,c_16168]) ).
tcf(c_19729,plain,
( ( sdtpldt0(xl,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sK0),sdtsldt0(sz00,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_19711,c_106]) ).
tcf(c_19730,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_19711,c_99]) ).
tcf(c_19731,plain,
( ( sdtasdt0(sdtpldt0(xl,sK0),sK3(sdtpldt0(xl,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_19711,c_102]) ).
tcf(c_19732,plain,
sdtasdt0(sdtpldt0(xl,sK0),sK3(sdtpldt0(xl,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19731,c_103,c_16168]) ).
tcf(c_19733,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19730,c_103,c_16168]) ).
tcf(c_19737,plain,
sdtasdt0(sdtpldt0(xl,sK0),sdtsldt0(sz00,sdtpldt0(xl,sK0))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19729,c_16176,c_103,c_16168]) ).
tcf(c_19752,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16170,c_109]) ).
tcf(c_19753,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16170,c_11962]) ).
tcf(c_19754,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_16170,c_8700]) ).
tcf(c_19756,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xl,sK0) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),xq) ),
inference(superposition,[status(thm)],[c_16170,c_110]) ).
tcf(c_19757,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16170,c_73]) ).
tcf(c_19758,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19757,c_62,c_16168]) ).
tcf(c_19761,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xl,sK0) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19756,c_62,c_16168]) ).
tcf(c_19765,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19752,c_62,c_16168]) ).
tcf(c_19770,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19753,c_62,c_16168]) ).
tcf(c_19776,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19754,c_62,c_16168]) ).
tcf(c_19902,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16400,c_109]) ).
tcf(c_19903,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16400,c_11962]) ).
tcf(c_19904,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_16400,c_8700]) ).
tcf(c_19906,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xl,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),xq) ),
inference(superposition,[status(thm)],[c_16400,c_110]) ).
tcf(c_19907,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16400,c_73]) ).
tcf(c_19908,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19907,c_62,c_16398]) ).
tcf(c_19911,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xl,sK1) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19906,c_62,c_16398]) ).
tcf(c_19915,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19902,c_62,c_16398]) ).
tcf(c_19920,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19903,c_62,c_16398]) ).
tcf(c_19926,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19904,c_62,c_16398]) ).
tcf(c_19933,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16531,c_89]) ).
tcf(c_19935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16531,c_18982]) ).
tcf(c_19937,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16531,c_15630]) ).
tcf(c_19947,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtasdt0(X0,sdtpldt0(xl,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16531,c_92]) ).
tcf(c_19948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16531,c_89]) ).
tcf(c_19949,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19947,c_16406,c_103,c_16398]) ).
tcf(c_19954,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19933,c_16406,c_103,c_16398]) ).
tcf(c_19960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19935,c_16406,c_103,c_2614,c_16398]) ).
tcf(c_20040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16532,c_18291]) ).
tcf(c_20043,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtasdt0(sdtpldt0(xl,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16532,c_91]) ).
tcf(c_20046,plain,
( doDivides0(sdtpldt0(xl,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16532,c_142]) ).
tcf(c_20048,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16532,c_87]) ).
tcf(c_20050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16532,c_87]) ).
tcf(c_20053,plain,
doDivides0(sdtpldt0(xl,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20046,c_103,c_16398]) ).
tcf(c_20054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20043,c_16406,c_103,c_16398]) ).
tcf(c_20059,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20048,c_16406,c_103,c_16398]) ).
tcf(c_20064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20040,c_16406,c_103,c_2614,c_16398]) ).
tcf(c_20071,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_16601,c_8631,c_16601]) ).
tcf(c_20072,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_20071]) ).
tcf(c_20089,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_108,c_20072]) ).
tcf(c_20090,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20089,c_103]) ).
tcf(c_20098,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_16602,c_8631,c_16602]) ).
tcf(c_20099,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_20098]) ).
tcf(c_20114,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20099,c_109]) ).
tcf(c_20115,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20099,c_11962]) ).
tcf(c_20116,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_20099,c_8700]) ).
tcf(c_20118,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),xp) ),
inference(superposition,[status(thm)],[c_20099,c_110]) ).
tcf(c_20119,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20099,c_73]) ).
tcf(c_20120,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20099,c_3965]) ).
tcf(c_20130,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20114,c_59]) ).
tcf(c_20141,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20115,c_59]) ).
tcf(c_20152,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20119,c_59]) ).
tcf(c_20161,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20118,c_59]) ).
tcf(c_20171,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20116,c_59]) ).
tcf(c_20183,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_16598,c_8631,c_16598]) ).
tcf(c_20184,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(renaming,[status(thm)],[c_20183]) ).
tcf(c_20200,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_4095,c_20184]) ).
tcf(c_20201,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_108,c_20184]) ).
tcf(c_20203,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_12725,c_20184]) ).
tcf(c_20231,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_16599,c_8631,c_16599]) ).
tcf(c_20232,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_20231]) ).
tcf(c_20247,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_20232]) ).
tcf(c_20248,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20247,c_103]) ).
tcf(c_20263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10380,c_109]) ).
tcf(c_20264,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10380,c_11962]) ).
tcf(c_20265,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_10380,c_8700]) ).
tcf(c_20267,plain,
( ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(superposition,[status(thm)],[c_10380,c_110]) ).
tcf(c_20268,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10380,c_73]) ).
tcf(c_20269,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10380,c_5863]) ).
tcf(c_20271,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20269,c_62]) ).
tcf(c_20278,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20268,c_62]) ).
tcf(c_20283,plain,
( ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20267,c_62]) ).
tcf(c_20289,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20263,c_62]) ).
tcf(c_20304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10385,c_109]) ).
tcf(c_20305,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10385,c_11962]) ).
tcf(c_20306,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_10385,c_8700]) ).
tcf(c_20307,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10385,c_3979]) ).
tcf(c_20308,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK1) ),
inference(superposition,[status(thm)],[c_10385,c_110]) ).
tcf(c_20309,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10385,c_73]) ).
tcf(c_20310,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10385,c_5863]) ).
tcf(c_20311,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20307,c_55]) ).
tcf(c_20318,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20310,c_55]) ).
tcf(c_20325,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20309,c_55]) ).
tcf(c_20330,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20308,c_55]) ).
tcf(c_20336,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20304,c_55]) ).
tcf(c_20351,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10390,c_109]) ).
tcf(c_20352,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10390,c_11962]) ).
tcf(c_20353,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_10390,c_8700]) ).
tcf(c_20354,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10390,c_3979]) ).
tcf(c_20355,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK0) ),
inference(superposition,[status(thm)],[c_10390,c_110]) ).
tcf(c_20356,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK2(sK0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10390,c_73]) ).
tcf(c_20357,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10390,c_5863]) ).
tcf(c_20358,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20354,c_52]) ).
tcf(c_20365,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20357,c_52]) ).
tcf(c_20372,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK2(sK0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20356,c_52]) ).
tcf(c_20377,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20355,c_52]) ).
tcf(c_20383,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20351,c_52]) ).
tcf(c_20398,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10395,c_109]) ).
tcf(c_20399,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10395,c_11962]) ).
tcf(c_20400,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_10395,c_8700]) ).
tcf(c_20401,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10395,c_3979]) ).
tcf(c_20402,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xn) ),
inference(superposition,[status(thm)],[c_10395,c_110]) ).
tcf(c_20403,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK2(xn,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10395,c_73]) ).
tcf(c_20404,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10395,c_5863]) ).
tcf(c_20407,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20404,c_51]) ).
tcf(c_20414,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK2(xn,sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20403,c_51]) ).
tcf(c_20419,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20402,c_51]) ).
tcf(c_20425,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20398,c_51]) ).
tcf(c_20436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11796,c_70]) ).
tcf(c_20437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11796,c_17825]) ).
tcf(c_20438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11796,c_17392]) ).
tcf(c_20439,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11796,c_14477]) ).
tcf(c_20447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11796,c_70]) ).
tcf(c_20448,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_11796,c_76]) ).
tcf(c_20449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xl,X0))
| ( sK1 = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xl,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_11796,c_68]) ).
tcf(c_20450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11796,c_68]) ).
tcf(c_20451,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11796,c_98]) ).
tcf(c_20452,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_11796,c_77]) ).
tcf(c_20453,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20452,c_49]) ).
tcf(c_20459,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20451,c_49]) ).
tcf(c_20466,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20448,c_49]) ).
tcf(c_20472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20447,c_49]) ).
tcf(c_20480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20436,c_49]) ).
tcf(c_20487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20450,c_49]) ).
tcf(c_20494,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xl,X0))
| ( sK1 = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xl,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20449,c_49]) ).
tcf(c_20501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20437,c_49]) ).
tcf(c_20511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20438,c_49]) ).
tcf(c_20603,plain,
( ( sdtpldt0(xl,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sK1),sdtsldt0(sz00,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_20053,c_106]) ).
tcf(c_20604,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_20053,c_99]) ).
tcf(c_20605,plain,
( ( sdtasdt0(sdtpldt0(xl,sK1),sK3(sdtpldt0(xl,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_20053,c_102]) ).
tcf(c_20606,plain,
sdtasdt0(sdtpldt0(xl,sK1),sK3(sdtpldt0(xl,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20605,c_103,c_16398]) ).
tcf(c_20607,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20604,c_103,c_16398]) ).
tcf(c_20611,plain,
sdtasdt0(sdtpldt0(xl,sK1),sdtsldt0(sz00,sdtpldt0(xl,sK1))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20603,c_16406,c_103,c_16398]) ).
tcf(c_20612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16963,c_89]) ).
tcf(c_20614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16963,c_18982]) ).
tcf(c_20616,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16963,c_15630]) ).
tcf(c_20626,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtasdt0(X0,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16963,c_92]) ).
tcf(c_20627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16963,c_89]) ).
tcf(c_20628,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20626,c_16911,c_103,c_16905]) ).
tcf(c_20633,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20612,c_16911,c_103,c_16905]) ).
tcf(c_20639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20614,c_16911,c_103,c_2614,c_16905]) ).
tcf(c_20649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16964,c_18291]) ).
tcf(c_20652,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16964,c_91]) ).
tcf(c_20655,plain,
( doDivides0(sdtpldt0(xl,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16964,c_142]) ).
tcf(c_20657,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16964,c_87]) ).
tcf(c_20659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16964,c_87]) ).
tcf(c_20662,plain,
doDivides0(sdtpldt0(xl,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20655,c_103,c_16905]) ).
tcf(c_20663,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20652,c_16911,c_103,c_16905]) ).
tcf(c_20668,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20657,c_16911,c_103,c_16905]) ).
tcf(c_20673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20649,c_16911,c_103,c_2614,c_16905]) ).
tcf(c_20750,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xp),sdtsldt0(sz00,sdtpldt0(xl,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_20662,c_106]) ).
tcf(c_20751,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_20662,c_99]) ).
tcf(c_20752,plain,
( ( sdtasdt0(sdtpldt0(xl,xp),sK3(sdtpldt0(xl,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_20662,c_102]) ).
tcf(c_20753,plain,
sdtasdt0(sdtpldt0(xl,xp),sK3(sdtpldt0(xl,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20752,c_103,c_16905]) ).
tcf(c_20754,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20751,c_103,c_16905]) ).
tcf(c_20758,plain,
sdtasdt0(sdtpldt0(xl,xp),sdtsldt0(sz00,sdtpldt0(xl,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20750,c_16911,c_103,c_16905]) ).
tcf(c_20759,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17181,c_89]) ).
tcf(c_20761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17181,c_18982]) ).
tcf(c_20763,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17181,c_15630]) ).
tcf(c_20773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtasdt0(X0,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_17181,c_92]) ).
tcf(c_20774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17181,c_89]) ).
tcf(c_20775,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20773,c_17115,c_103,c_17110]) ).
tcf(c_20780,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20759,c_17115,c_103,c_17110]) ).
tcf(c_20786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20761,c_17115,c_103,c_2614,c_17110]) ).
tcf(c_20796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17182,c_18291]) ).
tcf(c_20799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17182,c_91]) ).
tcf(c_20802,plain,
( doDivides0(sdtpldt0(xl,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17182,c_142]) ).
tcf(c_20804,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17182,c_87]) ).
tcf(c_20806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17182,c_87]) ).
tcf(c_20809,plain,
doDivides0(sdtpldt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20802,c_103,c_17110]) ).
tcf(c_20810,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20799,c_17115,c_103,c_17110]) ).
tcf(c_20815,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20804,c_17115,c_103,c_17110]) ).
tcf(c_20820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20796,c_17115,c_103,c_2614,c_17110]) ).
tcf(c_20827,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,xq),sdtsldt0(sz00,sdtpldt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_20809,c_106]) ).
tcf(c_20828,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_20809,c_99]) ).
tcf(c_20829,plain,
( ( sdtasdt0(sdtpldt0(xl,xq),sK3(sdtpldt0(xl,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_20809,c_102]) ).
tcf(c_20830,plain,
sdtasdt0(sdtpldt0(xl,xq),sK3(sdtpldt0(xl,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20829,c_103,c_17110]) ).
tcf(c_20831,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20828,c_103,c_17110]) ).
tcf(c_20835,plain,
sdtasdt0(sdtpldt0(xl,xq),sdtsldt0(sz00,sdtpldt0(xl,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20827,c_17115,c_103,c_17110]) ).
tcf(c_20836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xm)),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14759,c_70]) ).
tcf(c_20837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_14759,c_17825]) ).
tcf(c_20838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14759,c_17392]) ).
tcf(c_20839,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_14759,c_14477]) ).
tcf(c_20845,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14759,c_145]) ).
tcf(c_20847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14759,c_70]) ).
tcf(c_20848,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14759,c_76]) ).
tcf(c_20849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_14759,c_68]) ).
tcf(c_20850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14759,c_68]) ).
tcf(c_20852,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(X0,sdtpldt0(xl,xm)) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14759,c_77]) ).
tcf(c_20853,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xm) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_14759,c_8652]) ).
tcf(c_20854,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_20845,c_103,c_14661]) ).
tcf(c_20855,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xm)) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20852,c_103,c_14661]) ).
tcf(c_20859,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20848,c_103,c_14661]) ).
tcf(c_20863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20847,c_103,c_14661]) ).
tcf(c_20869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20850,c_103,c_14661]) ).
tcf(c_20874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20849,c_103,c_14661]) ).
tcf(c_20880,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xm) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20853,c_14661]) ).
tcf(c_20885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20837,c_103,c_14661]) ).
tcf(c_20893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20838,c_103,c_14661]) ).
tcf(c_20921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14307,c_70]) ).
tcf(c_20922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_14307,c_17825]) ).
tcf(c_20923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_14307,c_17392]) ).
tcf(c_20924,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_14307,c_14477]) ).
tcf(c_20925,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14307,c_5155]) ).
tcf(c_20928,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14307,c_75]) ).
tcf(c_20930,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14307,c_145]) ).
tcf(c_20931,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14307,c_84]) ).
tcf(c_20932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,xl))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_14307,c_70]) ).
tcf(c_20933,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_14307,c_76]) ).
tcf(c_20934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14307,c_68]) ).
tcf(c_20935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14307,c_68]) ).
tcf(c_20936,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14307,c_98]) ).
tcf(c_20937,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14307,c_77]) ).
tcf(c_20938,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_20931,c_49,c_2518]) ).
tcf(c_20939,plain,
sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_20930,c_49,c_2518]) ).
tcf(c_20940,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20925,c_49,c_2518]) ).
tcf(c_20943,plain,
sdtpldt0(xl,sdtasdt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20928,c_58,c_49,c_2518]) ).
tcf(c_20944,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20937,c_49,c_2518]) ).
tcf(c_20948,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20936,c_49,c_2518]) ).
tcf(c_20953,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20933,c_49,c_2518]) ).
tcf(c_20957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20935,c_49,c_2518]) ).
tcf(c_20962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20934,c_49,c_2518]) ).
tcf(c_20967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,xl))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20932,c_49,c_2518]) ).
tcf(c_20972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20921,c_49,c_2518]) ).
tcf(c_20977,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20924,c_49,c_2518]) ).
tcf(c_20982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20923,c_49,c_2518]) ).
tcf(c_20990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20922,c_49,c_2518]) ).
tcf(c_21005,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_20854,c_109]) ).
tcf(c_21009,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_20854,c_110]) ).
tcf(c_21010,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_20854,c_73]) ).
tcf(c_21011,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21010,c_103,c_14661]) ).
tcf(c_21012,plain,
~ sdtlseqdt0(sdtpldt0(xl,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_21009,c_14666,c_103,c_14661]) ).
tcf(c_21013,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21005,c_103,c_14661]) ).
tcf(c_21017,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2699]) ).
tcf(c_21018,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20938,c_79]) ).
tcf(c_21019,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X1),sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20938,c_78]) ).
tcf(c_21020,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20938,c_95]) ).
tcf(c_21021,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20938,c_82]) ).
tcf(c_21022,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20938,c_152]) ).
tcf(c_21023,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20938,c_96]) ).
tcf(c_21024,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20938,c_83]) ).
tcf(c_21025,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_20938,c_94]) ).
tcf(c_21026,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20938,c_93]) ).
tcf(c_21027,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_20938,c_81]) ).
tcf(c_21028,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_20938,c_80]) ).
tcf(c_21159,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20939,c_109]) ).
tcf(c_21160,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20939,c_11962]) ).
tcf(c_21161,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_20939,c_8700]) ).
tcf(c_21163,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_20939,c_110]) ).
tcf(c_21164,plain,
( ( sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtpldt0(xl,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20939,c_73]) ).
tcf(c_21165,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21159,c_2518,c_20938]) ).
tcf(c_21169,plain,
sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_21164,c_2518,c_20938]) ).
tcf(c_21170,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21163,c_2518,c_20938]) ).
tcf(c_21173,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21160,c_2518,c_20938]) ).
tcf(c_21180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14760,c_70]) ).
tcf(c_21184,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14760,c_5155]) ).
tcf(c_21189,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14760,c_145]) ).
tcf(c_21191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_14760,c_70]) ).
tcf(c_21192,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14760,c_76]) ).
tcf(c_21193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14760,c_68]) ).
tcf(c_21194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14760,c_68]) ).
tcf(c_21196,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14760,c_77]) ).
tcf(c_21197,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_21189,c_103,c_14661]) ).
tcf(c_21198,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21184,c_103,c_14661]) ).
tcf(c_21201,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21196,c_103,c_14661]) ).
tcf(c_21205,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21192,c_103,c_14661]) ).
tcf(c_21210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21193,c_103,c_14661]) ).
tcf(c_21215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21191,c_103,c_14661]) ).
tcf(c_21220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21180,c_103,c_14661]) ).
tcf(c_21230,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_21197,c_73]) ).
tcf(c_21231,plain,
sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21230,c_14661]) ).
tcf(c_21232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xn)),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15047,c_70]) ).
tcf(c_21233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_15047,c_17825]) ).
tcf(c_21234,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15047,c_17392]) ).
tcf(c_21235,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_15047,c_14477]) ).
tcf(c_21241,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15047,c_145]) ).
tcf(c_21243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15047,c_70]) ).
tcf(c_21244,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_15047,c_76]) ).
tcf(c_21245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_15047,c_68]) ).
tcf(c_21246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15047,c_68]) ).
tcf(c_21248,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(X0,sdtpldt0(xl,xn)) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_15047,c_77]) ).
tcf(c_21249,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xn) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_15047,c_8652]) ).
tcf(c_21250,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_21241,c_103,c_14856]) ).
tcf(c_21251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xn)) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21248,c_103,c_14856]) ).
tcf(c_21255,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21244,c_103,c_14856]) ).
tcf(c_21259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21243,c_103,c_14856]) ).
tcf(c_21265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21246,c_103,c_14856]) ).
tcf(c_21270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21245,c_103,c_14856]) ).
tcf(c_21276,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xn) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21249,c_14856]) ).
tcf(c_21281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21233,c_103,c_14856]) ).
tcf(c_21289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21234,c_103,c_14856]) ).
tcf(c_21341,plain,
~ sdtlseqdt0(sdtasdt0(xl,xq),sz00),
inference(global_subsumption_just,[status(thm)],[c_10504,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_2969,c_3070,c_3212,c_3882,c_3895,c_7313]) ).
tcf(c_21357,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = xq )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X1,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7066,c_109]) ).
tcf(c_21361,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7066,c_110]) ).
tcf(c_21362,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sdtpldt0(X0,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7066,c_73]) ).
tcf(c_21363,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X1,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21357,c_59]) ).
tcf(c_21372,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sdtpldt0(X0,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21362,c_59]) ).
tcf(c_21379,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21361,c_59]) ).
tcf(c_21400,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7120,c_109]) ).
tcf(c_21401,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7120,c_11962]) ).
tcf(c_21402,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_7120,c_8700]) ).
tcf(c_21404,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xp) ),
inference(superposition,[status(thm)],[c_7120,c_110]) ).
tcf(c_21405,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7120,c_73]) ).
tcf(c_21406,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7120,c_3965]) ).
tcf(c_21414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21400,c_59]) ).
tcf(c_21423,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21405,c_59]) ).
tcf(c_21430,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21404,c_59]) ).
tcf(c_21438,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21401,c_59]) ).
tcf(c_21447,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21402,c_59]) ).
tcf(c_21470,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10464,c_109]) ).
tcf(c_21471,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10464,c_11962]) ).
tcf(c_21472,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_10464,c_8700]) ).
tcf(c_21474,plain,
( sdtlseqdt0(xn,xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(superposition,[status(thm)],[c_10464,c_110]) ).
tcf(c_21475,plain,
( sdtlseqdt0(xn,xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10464,c_73]) ).
tcf(c_21476,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_10464,c_5863]) ).
tcf(c_21478,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21476,c_62]) ).
tcf(c_21486,plain,
( sdtlseqdt0(xn,xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21475,c_62]) ).
tcf(c_21492,plain,
( sdtlseqdt0(xn,xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21474,c_62]) ).
tcf(c_21499,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21470,c_62]) ).
tcf(c_21510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14749,c_70]) ).
tcf(c_21511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_14749,c_17825]) ).
tcf(c_21512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_14749,c_17392]) ).
tcf(c_21513,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_14749,c_14477]) ).
tcf(c_21514,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14749,c_5155]) ).
tcf(c_21517,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14749,c_75]) ).
tcf(c_21519,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14749,c_145]) ).
tcf(c_21520,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14749,c_84]) ).
tcf(c_21521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_14749,c_70]) ).
tcf(c_21522,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_14749,c_76]) ).
tcf(c_21523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14749,c_68]) ).
tcf(c_21524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14749,c_68]) ).
tcf(c_21525,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_14749,c_98]) ).
tcf(c_21526,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14749,c_77]) ).
tcf(c_21527,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_21520,c_49,c_14661]) ).
tcf(c_21528,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_21519,c_49,c_14661]) ).
tcf(c_21529,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21514,c_49,c_14661]) ).
tcf(c_21532,plain,
sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21517,c_58,c_49,c_14661]) ).
tcf(c_21533,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21526,c_49,c_14661]) ).
tcf(c_21537,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21525,c_49,c_14661]) ).
tcf(c_21542,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21522,c_49,c_14661]) ).
tcf(c_21546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21524,c_49,c_14661]) ).
tcf(c_21551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21523,c_49,c_14661]) ).
tcf(c_21556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21521,c_49,c_14661]) ).
tcf(c_21561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21510,c_49,c_14661]) ).
tcf(c_21566,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21513,c_49,c_14661]) ).
tcf(c_21571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21512,c_49,c_14661]) ).
tcf(c_21579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21511,c_49,c_14661]) ).
tcf(c_21594,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_21250,c_109]) ).
tcf(c_21598,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_21250,c_110]) ).
tcf(c_21599,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_21250,c_73]) ).
tcf(c_21600,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21599,c_103,c_14856]) ).
tcf(c_21601,plain,
~ sdtlseqdt0(sdtpldt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_21598,c_14864,c_103,c_14856]) ).
tcf(c_21602,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21594,c_103,c_14856]) ).
tcf(c_21606,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2699]) ).
tcf(c_21607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21527,c_79]) ).
tcf(c_21608,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21527,c_78]) ).
tcf(c_21609,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21527,c_95]) ).
tcf(c_21610,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21527,c_82]) ).
tcf(c_21611,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21527,c_152]) ).
tcf(c_21612,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21527,c_96]) ).
tcf(c_21613,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21527,c_83]) ).
tcf(c_21614,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_21527,c_94]) ).
tcf(c_21615,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_21527,c_93]) ).
tcf(c_21616,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_21527,c_81]) ).
tcf(c_21617,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_21527,c_80]) ).
tcf(c_21693,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21528,c_109]) ).
tcf(c_21694,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21528,c_11962]) ).
tcf(c_21695,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21528,c_8700]) ).
tcf(c_21697,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_21528,c_110]) ).
tcf(c_21698,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21528,c_73]) ).
tcf(c_21699,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21693,c_14661,c_21527]) ).
tcf(c_21703,plain,
sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_21698,c_14661,c_21527]) ).
tcf(c_21704,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21697,c_14661,c_21527]) ).
tcf(c_21707,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21694,c_14661,c_21527]) ).
tcf(c_21716,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(xp,sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),X0) ),
inference(instantiation,[status(thm)],[c_3068]) ).
tcf(c_21723,plain,
( sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(xp,sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(instantiation,[status(thm)],[c_21716]) ).
tcf(c_21726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15048,c_70]) ).
tcf(c_21730,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15048,c_5155]) ).
tcf(c_21735,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15048,c_145]) ).
tcf(c_21737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_15048,c_70]) ).
tcf(c_21738,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_15048,c_76]) ).
tcf(c_21739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15048,c_68]) ).
tcf(c_21740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15048,c_68]) ).
tcf(c_21742,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_15048,c_77]) ).
tcf(c_21743,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_21735,c_103,c_14856]) ).
tcf(c_21744,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21730,c_103,c_14856]) ).
tcf(c_21747,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21742,c_103,c_14856]) ).
tcf(c_21751,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21738,c_103,c_14856]) ).
tcf(c_21756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21739,c_103,c_14856]) ).
tcf(c_21761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21737,c_103,c_14856]) ).
tcf(c_21766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21726,c_103,c_14856]) ).
tcf(c_21776,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_21743,c_73]) ).
tcf(c_21777,plain,
sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) = sdtpldt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21776,c_14856]) ).
tcf(c_21780,plain,
( aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_21787,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8658,c_15621]) ).
tcf(c_21793,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_15621,c_109]) ).
tcf(c_21794,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15621,c_11962]) ).
tcf(c_21795,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15621,c_8700]) ).
tcf(c_21797,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_15621,c_110]) ).
tcf(c_21798,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15621,c_73]) ).
tcf(c_21813,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15621,c_8672]) ).
tcf(c_21815,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21798,c_103]) ).
tcf(c_21819,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21793,c_103]) ).
tcf(c_21825,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21794,c_103]) ).
tcf(c_21832,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21795,c_103]) ).
tcf(c_21839,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_21813,c_2465]) ).
tcf(c_21840,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21839,c_103]) ).
tcf(c_21909,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_108,c_19776]) ).
tcf(c_21923,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_108,c_19926]) ).
tcf(c_21925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_14811,c_70]) ).
tcf(c_21936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK2(xm,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_14811,c_70]) ).
tcf(c_21937,plain,
! [X0: $i] :
( ( sK2(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14811,c_76]) ).
tcf(c_21938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( sK2(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(xm,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_14811,c_68]) ).
tcf(c_21939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( sK2(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK2(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_14811,c_68]) ).
tcf(c_21940,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK2(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_14811,c_98]) ).
tcf(c_21941,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK2(xm,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14811,c_77]) ).
tcf(c_21942,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK2(xm,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21941,c_50]) ).
tcf(c_21947,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK2(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21940,c_50]) ).
tcf(c_21953,plain,
! [X0: $i] :
( ( sK2(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21937,c_50]) ).
tcf(c_21958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK2(xm,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21936,c_50]) ).
tcf(c_21964,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xm,sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21925,c_50]) ).
tcf(c_21970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xl,xm))
| ( sK2(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK2(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21939,c_50]) ).
tcf(c_21976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,X0))
| ( sK2(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(xm,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21938,c_50]) ).
tcf(c_22037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK0)),sdtpldt0(xl,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16253,c_70]) ).
tcf(c_22038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_16253,c_17825]) ).
tcf(c_22039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16253,c_17392]) ).
tcf(c_22040,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_16253,c_14477]) ).
tcf(c_22046,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16253,c_145]) ).
tcf(c_22048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sdtpldt0(xl,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16253,c_70]) ).
tcf(c_22049,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_16253,c_76]) ).
tcf(c_22050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(superposition,[status(thm)],[c_16253,c_68]) ).
tcf(c_22051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16253,c_68]) ).
tcf(c_22053,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(X0,sdtpldt0(xl,sK0)) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_16253,c_77]) ).
tcf(c_22054,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_16253,c_8652]) ).
tcf(c_22055,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_22046,c_103,c_16168]) ).
tcf(c_22056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sK0)) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22053,c_103,c_16168]) ).
tcf(c_22060,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22049,c_103,c_16168]) ).
tcf(c_22064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sdtpldt0(xl,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22048,c_103,c_16168]) ).
tcf(c_22070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22051,c_103,c_16168]) ).
tcf(c_22075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22050,c_103,c_16168]) ).
tcf(c_22080,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22040,c_103,c_16168]) ).
tcf(c_22085,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22054,c_16168]) ).
tcf(c_22090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22038,c_103,c_16168]) ).
tcf(c_22098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22039,c_103,c_16168]) ).
tcf(c_22110,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_22055,c_109]) ).
tcf(c_22114,plain,
( ( sdtpldt0(xl,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00) ),
inference(superposition,[status(thm)],[c_22055,c_110]) ).
tcf(c_22115,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_22055,c_73]) ).
tcf(c_22116,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_22115,c_103,c_16168]) ).
tcf(c_22117,plain,
~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_22114,c_16176,c_103,c_16168]) ).
tcf(c_22118,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22110,c_103,c_16168]) ).
tcf(c_22125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16254,c_70]) ).
tcf(c_22129,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16254,c_5155]) ).
tcf(c_22134,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16254,c_145]) ).
tcf(c_22136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(superposition,[status(thm)],[c_16254,c_70]) ).
tcf(c_22137,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_16254,c_76]) ).
tcf(c_22138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16254,c_68]) ).
tcf(c_22139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16254,c_68]) ).
tcf(c_22141,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_16254,c_77]) ).
tcf(c_22142,plain,
sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_22134,c_103,c_16168]) ).
tcf(c_22143,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22129,c_103,c_16168]) ).
tcf(c_22146,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22141,c_103,c_16168]) ).
tcf(c_22150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22137,c_103,c_16168]) ).
tcf(c_22155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22138,c_103,c_16168]) ).
tcf(c_22160,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22136,c_103,c_16168]) ).
tcf(c_22165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22125,c_103,c_16168]) ).
tcf(c_22175,plain,
( ( sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_22142,c_73]) ).
tcf(c_22176,plain,
sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) = sdtpldt0(xl,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_22175,c_16168]) ).
tcf(c_22177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK1)),sdtpldt0(xl,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16533,c_70]) ).
tcf(c_22178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_16533,c_17825]) ).
tcf(c_22179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16533,c_17392]) ).
tcf(c_22180,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_16533,c_14477]) ).
tcf(c_22186,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16533,c_145]) ).
tcf(c_22188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sdtpldt0(xl,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16533,c_70]) ).
tcf(c_22189,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_16533,c_76]) ).
tcf(c_22190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(superposition,[status(thm)],[c_16533,c_68]) ).
tcf(c_22191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16533,c_68]) ).
tcf(c_22193,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(X0,sdtpldt0(xl,sK1)) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_16533,c_77]) ).
tcf(c_22194,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_16533,c_8652]) ).
tcf(c_22195,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_22186,c_103,c_16398]) ).
tcf(c_22196,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sK1)) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22193,c_103,c_16398]) ).
tcf(c_22200,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22189,c_103,c_16398]) ).
tcf(c_22204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sdtpldt0(xl,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22188,c_103,c_16398]) ).
tcf(c_22210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22191,c_103,c_16398]) ).
tcf(c_22215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22190,c_103,c_16398]) ).
tcf(c_22220,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22180,c_103,c_16398]) ).
tcf(c_22225,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22194,c_16398]) ).
tcf(c_22230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22178,c_103,c_16398]) ).
tcf(c_22238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22179,c_103,c_16398]) ).
tcf(c_22250,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_22195,c_109]) ).
tcf(c_22254,plain,
( ( sdtpldt0(xl,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00) ),
inference(superposition,[status(thm)],[c_22195,c_110]) ).
tcf(c_22255,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_22195,c_73]) ).
tcf(c_22256,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_22255,c_103,c_16398]) ).
tcf(c_22257,plain,
~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_22254,c_16406,c_103,c_16398]) ).
tcf(c_22258,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22250,c_103,c_16398]) ).
tcf(c_22279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15037,c_70]) ).
tcf(c_22280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_15037,c_17825]) ).
tcf(c_22281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_15037,c_17392]) ).
tcf(c_22282,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_15037,c_14477]) ).
tcf(c_22283,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15037,c_5155]) ).
tcf(c_22286,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_15037,c_75]) ).
tcf(c_22288,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15037,c_145]) ).
tcf(c_22289,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15037,c_84]) ).
tcf(c_22290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_15037,c_70]) ).
tcf(c_22291,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_15037,c_76]) ).
tcf(c_22292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15037,c_68]) ).
tcf(c_22293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15037,c_68]) ).
tcf(c_22294,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_15037,c_98]) ).
tcf(c_22295,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_15037,c_77]) ).
tcf(c_22296,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_22289,c_49,c_14856]) ).
tcf(c_22297,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_22288,c_49,c_14856]) ).
tcf(c_22298,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22283,c_49,c_14856]) ).
tcf(c_22301,plain,
sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_22286,c_58,c_49,c_14856]) ).
tcf(c_22302,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22295,c_49,c_14856]) ).
tcf(c_22306,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22294,c_49,c_14856]) ).
tcf(c_22311,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22291,c_49,c_14856]) ).
tcf(c_22315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22293,c_49,c_14856]) ).
tcf(c_22320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22292,c_49,c_14856]) ).
tcf(c_22325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22290,c_49,c_14856]) ).
tcf(c_22330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22279,c_49,c_14856]) ).
tcf(c_22335,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22282,c_49,c_14856]) ).
tcf(c_22340,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22281,c_49,c_14856]) ).
tcf(c_22348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22280,c_49,c_14856]) ).
tcf(c_22408,plain,
! [X0: $i] :
( aNaturalNumber0(sdtsldt0(X0,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_22414,plain,
( aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sdtasdt0(xl,xq),sz00) ),
inference(instantiation,[status(thm)],[c_22408]) ).
tcf(c_22426,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2699]) ).
tcf(c_22427,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22296,c_79]) ).
tcf(c_22428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22296,c_78]) ).
tcf(c_22429,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22296,c_95]) ).
tcf(c_22430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22296,c_82]) ).
tcf(c_22431,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22296,c_152]) ).
tcf(c_22432,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22296,c_96]) ).
tcf(c_22433,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22296,c_83]) ).
tcf(c_22434,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_22296,c_94]) ).
tcf(c_22435,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22296,c_93]) ).
tcf(c_22436,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_22296,c_81]) ).
tcf(c_22437,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_22296,c_80]) ).
tcf(c_22464,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22297,c_109]) ).
tcf(c_22465,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22297,c_11962]) ).
tcf(c_22466,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22297,c_8700]) ).
tcf(c_22468,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_22297,c_110]) ).
tcf(c_22469,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22297,c_73]) ).
tcf(c_22470,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22464,c_14856,c_22296]) ).
tcf(c_22474,plain,
sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22469,c_14856,c_22296]) ).
tcf(c_22475,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22468,c_14856,c_22296]) ).
tcf(c_22478,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22465,c_14856,c_22296]) ).
tcf(c_22485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16534,c_70]) ).
tcf(c_22489,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16534,c_5155]) ).
tcf(c_22494,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16534,c_145]) ).
tcf(c_22496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(superposition,[status(thm)],[c_16534,c_70]) ).
tcf(c_22497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_16534,c_76]) ).
tcf(c_22498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16534,c_68]) ).
tcf(c_22499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16534,c_68]) ).
tcf(c_22501,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_16534,c_77]) ).
tcf(c_22502,plain,
sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_22494,c_103,c_16398]) ).
tcf(c_22503,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22489,c_103,c_16398]) ).
tcf(c_22506,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22501,c_103,c_16398]) ).
tcf(c_22510,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22497,c_103,c_16398]) ).
tcf(c_22515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22498,c_103,c_16398]) ).
tcf(c_22520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22496,c_103,c_16398]) ).
tcf(c_22525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22485,c_103,c_16398]) ).
tcf(c_22540,plain,
( ( sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_22502,c_73]) ).
tcf(c_22541,plain,
sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) = sdtpldt0(xl,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_22540,c_16398]) ).
tcf(c_22542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xp)),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16965,c_70]) ).
tcf(c_22543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_16965,c_17825]) ).
tcf(c_22544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16965,c_17392]) ).
tcf(c_22545,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_16965,c_14477]) ).
tcf(c_22551,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16965,c_145]) ).
tcf(c_22553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16965,c_70]) ).
tcf(c_22554,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_16965,c_76]) ).
tcf(c_22555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_16965,c_68]) ).
tcf(c_22556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16965,c_68]) ).
tcf(c_22558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(X0,sdtpldt0(xl,xp)) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_16965,c_77]) ).
tcf(c_22559,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_16965,c_8652]) ).
tcf(c_22560,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_22551,c_103,c_16905]) ).
tcf(c_22561,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xp)) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22558,c_103,c_16905]) ).
tcf(c_22565,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22554,c_103,c_16905]) ).
tcf(c_22569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22553,c_103,c_16905]) ).
tcf(c_22575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22556,c_103,c_16905]) ).
tcf(c_22580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22555,c_103,c_16905]) ).
tcf(c_22585,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22545,c_103,c_16905]) ).
tcf(c_22590,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xp) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22559,c_16905]) ).
tcf(c_22595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22543,c_103,c_16905]) ).
tcf(c_22603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22544,c_103,c_16905]) ).
tcf(c_22689,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_22560,c_109]) ).
tcf(c_22693,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00) ),
inference(superposition,[status(thm)],[c_22560,c_110]) ).
tcf(c_22694,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_22560,c_73]) ).
tcf(c_22695,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_22694,c_103,c_16905]) ).
tcf(c_22696,plain,
~ sdtlseqdt0(sdtpldt0(xl,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_22693,c_16911,c_103,c_16905]) ).
tcf(c_22697,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22689,c_103,c_16905]) ).
tcf(c_22720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_15156,c_70]) ).
tcf(c_22731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK2(xn,sdtpldt0(xl,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_15156,c_70]) ).
tcf(c_22732,plain,
! [X0: $i] :
( ( sK2(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_15156,c_76]) ).
tcf(c_22733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( sK2(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(xn,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_15156,c_68]) ).
tcf(c_22734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( sK2(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK2(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_15156,c_68]) ).
tcf(c_22735,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK2(xn,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_15156,c_98]) ).
tcf(c_22736,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK2(xn,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_15156,c_77]) ).
tcf(c_22737,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK2(xn,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22736,c_51]) ).
tcf(c_22742,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK2(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22735,c_51]) ).
tcf(c_22748,plain,
! [X0: $i] :
( ( sK2(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22732,c_51]) ).
tcf(c_22753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK2(xn,sdtpldt0(xl,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22731,c_51]) ).
tcf(c_22759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22720,c_51]) ).
tcf(c_22765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xl,xn))
| ( sK2(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK2(xn,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22734,c_51]) ).
tcf(c_22771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xn,X0))
| ( sK2(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(xn,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22733,c_51]) ).
tcf(c_22784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16966,c_70]) ).
tcf(c_22788,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16966,c_5155]) ).
tcf(c_22793,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16966,c_145]) ).
tcf(c_22795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_16966,c_70]) ).
tcf(c_22796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_16966,c_76]) ).
tcf(c_22797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16966,c_68]) ).
tcf(c_22798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16966,c_68]) ).
tcf(c_22800,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_16966,c_77]) ).
tcf(c_22801,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_22793,c_103,c_16905]) ).
tcf(c_22802,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22788,c_103,c_16905]) ).
tcf(c_22805,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22800,c_103,c_16905]) ).
tcf(c_22809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22796,c_103,c_16905]) ).
tcf(c_22814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22797,c_103,c_16905]) ).
tcf(c_22819,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22795,c_103,c_16905]) ).
tcf(c_22824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22784,c_103,c_16905]) ).
tcf(c_22834,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_22801,c_73]) ).
tcf(c_22835,plain,
sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) = sdtpldt0(xl,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_22834,c_16905]) ).
tcf(c_22903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xq)),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17183,c_70]) ).
tcf(c_22904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_17183,c_17825]) ).
tcf(c_22905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17183,c_17392]) ).
tcf(c_22906,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_17183,c_14477]) ).
tcf(c_22912,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17183,c_145]) ).
tcf(c_22914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17183,c_70]) ).
tcf(c_22915,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_17183,c_76]) ).
tcf(c_22916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_17183,c_68]) ).
tcf(c_22917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17183,c_68]) ).
tcf(c_22919,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(X0,sdtpldt0(xl,xq)) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_17183,c_77]) ).
tcf(c_22920,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_17183,c_8652]) ).
tcf(c_22921,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_22912,c_103,c_17110]) ).
tcf(c_22922,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,xq)) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22919,c_103,c_17110]) ).
tcf(c_22926,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22915,c_103,c_17110]) ).
tcf(c_22930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sdtpldt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22914,c_103,c_17110]) ).
tcf(c_22936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22917,c_103,c_17110]) ).
tcf(c_22941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22916,c_103,c_17110]) ).
tcf(c_22946,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22906,c_103,c_17110]) ).
tcf(c_22951,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22920,c_17110]) ).
tcf(c_22956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22904,c_103,c_17110]) ).
tcf(c_22964,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22905,c_103,c_17110]) ).
tcf(c_22976,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_22921,c_109]) ).
tcf(c_22980,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00) ),
inference(superposition,[status(thm)],[c_22921,c_110]) ).
tcf(c_22981,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_22921,c_73]) ).
tcf(c_22982,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_22981,c_103,c_17110]) ).
tcf(c_22983,plain,
~ sdtlseqdt0(sdtpldt0(xl,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_22980,c_17115,c_103,c_17110]) ).
tcf(c_22984,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22976,c_103,c_17110]) ).
tcf(c_22991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17184,c_70]) ).
tcf(c_23000,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17184,c_145]) ).
tcf(c_23002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_17184,c_70]) ).
tcf(c_23003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_17184,c_76]) ).
tcf(c_23004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17184,c_68]) ).
tcf(c_23005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17184,c_68]) ).
tcf(c_23007,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_17184,c_77]) ).
tcf(c_23008,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_23000,c_103,c_17110]) ).
tcf(c_23009,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23007,c_103,c_17110]) ).
tcf(c_23013,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23003,c_103,c_17110]) ).
tcf(c_23018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23004,c_103,c_17110]) ).
tcf(c_23023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23002,c_103,c_17110]) ).
tcf(c_23028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22991,c_103,c_17110]) ).
tcf(c_23038,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_23008,c_73]) ).
tcf(c_23039,plain,
sdtpldt0(sdtpldt0(xl,xq),sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) = sdtpldt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_23038,c_17110]) ).
tcf(c_23040,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21025,c_89]) ).
tcf(c_23042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21025,c_18982]) ).
tcf(c_23044,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21025,c_15630]) ).
tcf(c_23054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_21025,c_92]) ).
tcf(c_23055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21025,c_89]) ).
tcf(c_23056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23054,c_20943,c_103,c_20938]) ).
tcf(c_23062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23040,c_20943,c_103,c_20938]) ).
tcf(c_23067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23042,c_20943,c_103,c_2614,c_20938]) ).
tcf(c_23097,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_10524]) ).
tcf(c_23112,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_10524]) ).
tcf(c_23114,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_23112,c_2464]) ).
tcf(c_23128,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_109]) ).
tcf(c_23129,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_11962]) ).
tcf(c_23130,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_21787,c_8700]) ).
tcf(c_23131,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_3979]) ).
tcf(c_23132,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_21787,c_110]) ).
tcf(c_23133,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_73]) ).
tcf(c_23134,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_12182]) ).
tcf(c_23135,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_21787,c_8702]) ).
tcf(c_23136,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_5910]) ).
tcf(c_23211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_70]) ).
tcf(c_23212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_16243,c_17825]) ).
tcf(c_23213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_16243,c_17392]) ).
tcf(c_23214,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_16243,c_14477]) ).
tcf(c_23215,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_5155]) ).
tcf(c_23218,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16243,c_75]) ).
tcf(c_23220,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_145]) ).
tcf(c_23221,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_84]) ).
tcf(c_23222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(superposition,[status(thm)],[c_16243,c_70]) ).
tcf(c_23223,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(superposition,[status(thm)],[c_16243,c_76]) ).
tcf(c_23224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_68]) ).
tcf(c_23225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_68]) ).
tcf(c_23226,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ doDivides0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_98]) ).
tcf(c_23227,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_16243,c_77]) ).
tcf(c_23228,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_23221,c_49,c_16168]) ).
tcf(c_23229,plain,
sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_23220,c_49,c_16168]) ).
tcf(c_23230,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23215,c_49,c_16168]) ).
tcf(c_23233,plain,
sdtpldt0(xl,sdtpldt0(xl,sK0)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23218,c_58,c_49,c_16168]) ).
tcf(c_23234,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23227,c_49,c_16168]) ).
tcf(c_23238,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23226,c_49,c_16168]) ).
tcf(c_23243,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23223,c_49,c_16168]) ).
tcf(c_23247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23225,c_49,c_16168]) ).
tcf(c_23252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23224,c_49,c_16168]) ).
tcf(c_23257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23222,c_49,c_16168]) ).
tcf(c_23262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23211,c_49,c_16168]) ).
tcf(c_23267,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23214,c_49,c_16168]) ).
tcf(c_23272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23213,c_49,c_16168]) ).
tcf(c_23280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23212,c_49,c_16168]) ).
tcf(c_23373,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2699]) ).
tcf(c_23374,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sK0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23228,c_79]) ).
tcf(c_23375,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23228,c_78]) ).
tcf(c_23376,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23228,c_95]) ).
tcf(c_23377,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23228,c_82]) ).
tcf(c_23378,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23228,c_152]) ).
tcf(c_23379,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23228,c_96]) ).
tcf(c_23380,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23228,c_83]) ).
tcf(c_23381,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00,
inference(superposition,[status(thm)],[c_23228,c_94]) ).
tcf(c_23382,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23228,c_93]) ).
tcf(c_23383,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sdtpldt0(xl,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_23228,c_81]) ).
tcf(c_23384,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sdtpldt0(xl,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_23228,c_80]) ).
tcf(c_23451,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23229,c_109]) ).
tcf(c_23452,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23229,c_11962]) ).
tcf(c_23453,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23229,c_8700]) ).
tcf(c_23455,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_23229,c_110]) ).
tcf(c_23456,plain,
( ( sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtpldt0(xl,sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23229,c_73]) ).
tcf(c_23457,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23451,c_16168,c_23228]) ).
tcf(c_23461,plain,
sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtpldt0(xl,sdtpldt0(xl,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_23456,c_16168,c_23228]) ).
tcf(c_23462,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sdtpldt0(xl,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23455,c_16168,c_23228]) ).
tcf(c_23465,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23452,c_16168,c_23228]) ).
tcf(c_23475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21026,c_18291]) ).
tcf(c_23478,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_21026,c_91]) ).
tcf(c_23481,plain,
( doDivides0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21026,c_142]) ).
tcf(c_23483,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21026,c_87]) ).
tcf(c_23485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21026,c_87]) ).
tcf(c_23488,plain,
doDivides0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23481,c_103,c_20938]) ).
tcf(c_23489,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23478,c_20943,c_103,c_20938]) ).
tcf(c_23494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23483,c_20943,c_103,c_20938]) ).
tcf(c_23499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23475,c_20943,c_103,c_2614,c_20938]) ).
tcf(c_23506,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_23488,c_106]) ).
tcf(c_23507,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_23488,c_99]) ).
tcf(c_23508,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_23488,c_102]) ).
tcf(c_23509,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23507,c_103,c_20938]) ).
tcf(c_23513,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23508,c_103,c_20938]) ).
tcf(c_23514,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23506,c_20943,c_103,c_20938]) ).
tcf(c_23519,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_21198,c_109]) ).
tcf(c_23523,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_21198,c_110]) ).
tcf(c_23524,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_21198,c_73]) ).
tcf(c_23525,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23524,c_59,c_14661]) ).
tcf(c_23528,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23523,c_59,c_14661]) ).
tcf(c_23532,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23519,c_59,c_14661]) ).
tcf(c_23537,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21614,c_89]) ).
tcf(c_23539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21614,c_18982]) ).
tcf(c_23541,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21614,c_15630]) ).
tcf(c_23551,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_21614,c_92]) ).
tcf(c_23552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21614,c_89]) ).
tcf(c_23553,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23551,c_21532,c_103,c_21527]) ).
tcf(c_23559,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23537,c_21532,c_103,c_21527]) ).
tcf(c_23564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23539,c_21532,c_103,c_2614,c_21527]) ).
tcf(c_23574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21615,c_18291]) ).
tcf(c_23577,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_21615,c_91]) ).
tcf(c_23580,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21615,c_142]) ).
tcf(c_23582,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21615,c_87]) ).
tcf(c_23584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21615,c_87]) ).
tcf(c_23587,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23580,c_103,c_21527]) ).
tcf(c_23588,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23577,c_21532,c_103,c_21527]) ).
tcf(c_23593,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23582,c_21532,c_103,c_21527]) ).
tcf(c_23598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23574,c_21532,c_103,c_2614,c_21527]) ).
tcf(c_23653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,sdtpldt0(xl,sK0))),sdtpldt0(xl,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_16368,c_70]) ).
tcf(c_23664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sK2(sK0,sdtpldt0(xl,sK0))))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_16368,c_70]) ).
tcf(c_23665,plain,
! [X0: $i] :
( ( sK2(sK0,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ( sdtpldt0(sK0,X0) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_16368,c_76]) ).
tcf(c_23666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sK0,X0))
| ( sK2(sK0,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sK0,sdtpldt0(xl,sK0)),X0) ),
inference(superposition,[status(thm)],[c_16368,c_68]) ).
tcf(c_23667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xl,sK0))
| ( sK2(sK0,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_16368,c_68]) ).
tcf(c_23668,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ~ doDivides0(X0,sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_16368,c_98]) ).
tcf(c_23669,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ( sdtpldt0(X0,sK2(sK0,sdtpldt0(xl,sK0))) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_16368,c_77]) ).
tcf(c_23670,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ( sdtpldt0(X0,sK2(sK0,sdtpldt0(xl,sK0))) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23669,c_52]) ).
tcf(c_23675,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ~ doDivides0(X0,sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23668,c_52]) ).
tcf(c_23681,plain,
! [X0: $i] :
( ( sK2(sK0,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ( sdtpldt0(sK0,X0) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23665,c_52]) ).
tcf(c_23686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sK2(sK0,sdtpldt0(xl,sK0))))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23664,c_52]) ).
tcf(c_23692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,sdtpldt0(xl,sK0))),sdtpldt0(xl,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23653,c_52]) ).
tcf(c_23698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xl,sK0))
| ( sK2(sK0,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sK2(sK0,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23667,c_52]) ).
tcf(c_23704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sK0,X0))
| ( sK2(sK0,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sK0,sdtpldt0(xl,sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23666,c_52]) ).
tcf(c_23795,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_23587,c_106]) ).
tcf(c_23796,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_23587,c_99]) ).
tcf(c_23797,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_23587,c_102]) ).
tcf(c_23798,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23796,c_103,c_21527]) ).
tcf(c_23802,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23797,c_103,c_21527]) ).
tcf(c_23803,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23795,c_21532,c_103,c_21527]) ).
tcf(c_23804,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22434,c_89]) ).
tcf(c_23806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22434,c_18982]) ).
tcf(c_23808,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22434,c_15630]) ).
tcf(c_23818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_22434,c_92]) ).
tcf(c_23819,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22434,c_89]) ).
tcf(c_23820,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23818,c_22301,c_103,c_22296]) ).
tcf(c_23826,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23804,c_22301,c_103,c_22296]) ).
tcf(c_23831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23806,c_22301,c_103,c_2614,c_22296]) ).
tcf(c_23881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22435,c_18291]) ).
tcf(c_23884,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_22435,c_91]) ).
tcf(c_23887,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22435,c_142]) ).
tcf(c_23889,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22435,c_87]) ).
tcf(c_23891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22435,c_87]) ).
tcf(c_23894,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23887,c_103,c_22296]) ).
tcf(c_23895,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23884,c_22301,c_103,c_22296]) ).
tcf(c_23900,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23889,c_22301,c_103,c_22296]) ).
tcf(c_23905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23881,c_22301,c_103,c_2614,c_22296]) ).
tcf(c_23912,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_23894,c_106]) ).
tcf(c_23913,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_23894,c_99]) ).
tcf(c_23914,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_23894,c_102]) ).
tcf(c_23915,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23913,c_103,c_22296]) ).
tcf(c_23919,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23914,c_103,c_22296]) ).
tcf(c_23920,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23912,c_22301,c_103,c_22296]) ).
tcf(c_23925,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_21744,c_109]) ).
tcf(c_23929,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_21744,c_110]) ).
tcf(c_23930,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_21744,c_73]) ).
tcf(c_23931,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23930,c_59,c_14856]) ).
tcf(c_23934,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23929,c_59,c_14856]) ).
tcf(c_23938,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23925,c_59,c_14856]) ).
tcf(c_23947,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_22143,c_109]) ).
tcf(c_23951,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_22143,c_110]) ).
tcf(c_23952,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_22143,c_73]) ).
tcf(c_23953,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23952,c_59,c_16168]) ).
tcf(c_23956,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23951,c_59,c_16168]) ).
tcf(c_23960,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23947,c_59,c_16168]) ).
tcf(c_23969,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_22503,c_109]) ).
tcf(c_23973,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_22503,c_110]) ).
tcf(c_23974,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_22503,c_73]) ).
tcf(c_23975,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23974,c_59,c_16398]) ).
tcf(c_23978,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23973,c_59,c_16398]) ).
tcf(c_23982,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23969,c_59,c_16398]) ).
tcf(c_23991,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_22802,c_109]) ).
tcf(c_23996,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_22802,c_73]) ).
tcf(c_23997,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23996,c_59,c_16905]) ).
tcf(c_24000,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23991,c_59,c_16905]) ).
tcf(c_24035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10584,c_84,c_10584]) ).
tcf(c_24053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_24035]) ).
tcf(c_24060,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2460,c_24035]) ).
tcf(c_24061,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2461,c_24035]) ).
tcf(c_24062,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2462,c_24035]) ).
tcf(c_24077,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xn,xn)) ),
inference(superposition,[status(thm)],[c_3032,c_24035]) ).
tcf(c_24078,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK0,sK0)) ),
inference(superposition,[status(thm)],[c_3031,c_24035]) ).
tcf(c_24079,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK1,sK1)) ),
inference(superposition,[status(thm)],[c_3030,c_24035]) ).
tcf(c_24099,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_14307,c_24035]) ).
tcf(c_24100,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_14749,c_24035]) ).
tcf(c_24104,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_15037,c_24035]) ).
tcf(c_24108,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_16243,c_24035]) ).
tcf(c_24124,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24108,c_49,c_16168]) ).
tcf(c_24130,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24104,c_49,c_14856]) ).
tcf(c_24136,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24100,c_49,c_14661]) ).
tcf(c_24142,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24099,c_49,c_2518]) ).
tcf(c_24161,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_15793]) ).
tcf(c_24162,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sz00))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_15793]) ).
tcf(c_24163,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_15793]) ).
tcf(c_24164,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_15793]) ).
tcf(c_24165,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_15793]) ).
tcf(c_24166,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_15793]) ).
tcf(c_24167,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_15793]) ).
tcf(c_24168,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2475,c_15793]) ).
tcf(c_24169,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_15793]) ).
tcf(c_24170,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_15793]) ).
tcf(c_24171,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_15793]) ).
tcf(c_24172,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_15793]) ).
tcf(c_24173,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_15793]) ).
tcf(c_24174,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_15793]) ).
tcf(c_24175,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_15793]) ).
tcf(c_24176,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_15793]) ).
tcf(c_24177,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_15793]) ).
tcf(c_24178,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_15793]) ).
tcf(c_24180,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_15793]) ).
tcf(c_24181,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_15793]) ).
tcf(c_24182,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16253,c_15793]) ).
tcf(c_24183,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16533,c_15793]) ).
tcf(c_24184,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_15793]) ).
tcf(c_24185,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17183,c_15793]) ).
tcf(c_24186,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_109]) ).
tcf(c_24187,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_11962]) ).
tcf(c_24188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_8700]) ).
tcf(c_24189,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_3979]) ).
tcf(c_24190,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_15793,c_110]) ).
tcf(c_24191,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_73]) ).
tcf(c_24192,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_5863]) ).
tcf(c_24193,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_15793,c_20184]) ).
tcf(c_24194,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_109]) ).
tcf(c_24195,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_11962]) ).
tcf(c_24196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_8700]) ).
tcf(c_24199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_73]) ).
tcf(c_24202,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_10524]) ).
tcf(c_24204,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_10332]) ).
tcf(c_24215,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_8679]) ).
tcf(c_24217,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_20232]) ).
tcf(c_24218,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_15793,c_20072]) ).
tcf(c_24219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_19480]) ).
tcf(c_24220,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_15793,c_19453]) ).
tcf(c_24221,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_19422]) ).
tcf(c_24222,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_19395]) ).
tcf(c_24223,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24169,c_62]) ).
tcf(c_24229,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24168,c_59]) ).
tcf(c_24235,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24167,c_55]) ).
tcf(c_24241,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24166,c_52]) ).
tcf(c_24247,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24165,c_51]) ).
tcf(c_24253,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24164,c_50]) ).
tcf(c_24259,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24163,c_49]) ).
tcf(c_24265,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24161,c_103]) ).
tcf(c_24325,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24185,c_17110]) ).
tcf(c_24331,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24184,c_16905]) ).
tcf(c_24337,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24183,c_16398]) ).
tcf(c_24343,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24182,c_16168]) ).
tcf(c_24349,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24181,c_14856]) ).
tcf(c_24355,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24180,c_14661]) ).
tcf(c_24361,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24170,c_2518]) ).
tcf(c_24403,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_24204,c_2465]) ).
tcf(c_24404,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24403,c_103]) ).
tcf(c_24440,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_24221,c_2465]) ).
tcf(c_24441,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24440,c_103]) ).
tcf(c_24468,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_24202,c_2465]) ).
tcf(c_24469,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24468,c_103]) ).
tcf(c_24494,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_24222,c_2465]) ).
tcf(c_24495,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24494,c_103]) ).
tcf(c_24512,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_24220,c_2465]) ).
tcf(c_24513,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24512,c_103]) ).
tcf(c_24522,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_24219,c_2465]) ).
tcf(c_24523,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24522,c_103]) ).
tcf(c_24533,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_24218,c_2465]) ).
tcf(c_24534,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24533,c_103]) ).
tcf(c_24543,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_24217,c_2465]) ).
tcf(c_24544,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24543,c_103]) ).
tcf(c_24885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24196,c_8631,c_24196]) ).
tcf(c_24902,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_24885]) ).
tcf(c_24903,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_24885]) ).
tcf(c_24906,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_24885]) ).
tcf(c_24907,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_24885]) ).
tcf(c_24908,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_24885]) ).
tcf(c_24910,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_24885]) ).
tcf(c_24912,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_24885]) ).
tcf(c_24913,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_24885]) ).
tcf(c_24914,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_24885]) ).
tcf(c_24915,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_24885]) ).
tcf(c_24916,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_24885]) ).
tcf(c_24917,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_24885]) ).
tcf(c_24918,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_24885]) ).
tcf(c_24919,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3894,c_24885]) ).
tcf(c_24927,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_109]) ).
tcf(c_24928,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_11962]) ).
tcf(c_24929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_8700]) ).
tcf(c_24930,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_3979]) ).
tcf(c_24931,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_24885,c_110]) ).
tcf(c_24932,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_73]) ).
tcf(c_24933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_5863]) ).
tcf(c_24934,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24885,c_20184]) ).
tcf(c_24935,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_109]) ).
tcf(c_24937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_8700]) ).
tcf(c_24938,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_3979]) ).
tcf(c_24939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_110]) ).
tcf(c_24940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_73]) ).
tcf(c_24941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_5863]) ).
tcf(c_24942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_8679]) ).
tcf(c_24943,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24910,c_62]) ).
tcf(c_24950,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24908,c_55]) ).
tcf(c_24957,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24907,c_52]) ).
tcf(c_24964,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24906,c_51]) ).
tcf(c_24971,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24902,c_103,c_2614]) ).
tcf(c_25243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_70]) ).
tcf(c_25244,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_16523,c_24035]) ).
tcf(c_25245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_16523,c_17825]) ).
tcf(c_25246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_16523,c_17392]) ).
tcf(c_25247,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_16523,c_14477]) ).
tcf(c_25248,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_5155]) ).
tcf(c_25251,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16523,c_75]) ).
tcf(c_25253,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_145]) ).
tcf(c_25254,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_84]) ).
tcf(c_25255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(superposition,[status(thm)],[c_16523,c_70]) ).
tcf(c_25256,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(superposition,[status(thm)],[c_16523,c_76]) ).
tcf(c_25257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_68]) ).
tcf(c_25258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_68]) ).
tcf(c_25259,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ doDivides0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_98]) ).
tcf(c_25260,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_16523,c_77]) ).
tcf(c_25261,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_25254,c_49,c_16398]) ).
tcf(c_25262,plain,
sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_25253,c_49,c_16398]) ).
tcf(c_25263,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25248,c_49,c_16398]) ).
tcf(c_25266,plain,
sdtpldt0(xl,sdtpldt0(xl,sK1)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_25251,c_58,c_49,c_16398]) ).
tcf(c_25267,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25260,c_49,c_16398]) ).
tcf(c_25271,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25259,c_49,c_16398]) ).
tcf(c_25276,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25256,c_49,c_16398]) ).
tcf(c_25280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25258,c_49,c_16398]) ).
tcf(c_25285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25257,c_49,c_16398]) ).
tcf(c_25290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25255,c_49,c_16398]) ).
tcf(c_25295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25243,c_49,c_16398]) ).
tcf(c_25300,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25247,c_49,c_16398]) ).
tcf(c_25305,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25244,c_49,c_16398]) ).
tcf(c_25311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25246,c_49,c_16398]) ).
tcf(c_25319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25245,c_49,c_16398]) ).
tcf(c_25406,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2699]) ).
tcf(c_25407,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sK1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25261,c_79]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25261,c_78]) ).
tcf(c_25409,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25261,c_95]) ).
tcf(c_25410,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25261,c_82]) ).
tcf(c_25411,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25261,c_152]) ).
tcf(c_25412,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25261,c_96]) ).
tcf(c_25413,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25261,c_83]) ).
tcf(c_25414,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00,
inference(superposition,[status(thm)],[c_25261,c_94]) ).
tcf(c_25415,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00,
inference(superposition,[status(thm)],[c_25261,c_93]) ).
tcf(c_25416,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sdtpldt0(xl,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_25261,c_81]) ).
tcf(c_25417,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sdtpldt0(xl,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_25261,c_80]) ).
tcf(c_25444,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25262,c_109]) ).
tcf(c_25445,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25262,c_11962]) ).
tcf(c_25446,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25262,c_8700]) ).
tcf(c_25448,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_25262,c_110]) ).
tcf(c_25449,plain,
( ( sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtpldt0(xl,sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25262,c_73]) ).
tcf(c_25450,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25444,c_16398,c_25261]) ).
tcf(c_25454,plain,
sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtpldt0(xl,sdtpldt0(xl,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_25449,c_16398,c_25261]) ).
tcf(c_25455,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sdtpldt0(xl,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25448,c_16398,c_25261]) ).
tcf(c_25458,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25445,c_16398,c_25261]) ).
tcf(c_25465,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23381,c_89]) ).
tcf(c_25467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23381,c_18982]) ).
tcf(c_25469,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23381,c_15630]) ).
tcf(c_25479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23381,c_92]) ).
tcf(c_25480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23381,c_89]) ).
tcf(c_25481,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25479,c_23233,c_103,c_23228]) ).
tcf(c_25487,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25465,c_23233,c_103,c_23228]) ).
tcf(c_25492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25467,c_23233,c_103,c_2614,c_23228]) ).
tcf(c_25502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23382,c_18291]) ).
tcf(c_25505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23382,c_91]) ).
tcf(c_25508,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23382,c_142]) ).
tcf(c_25510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23382,c_87]) ).
tcf(c_25512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23382,c_87]) ).
tcf(c_25515,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_25508,c_103,c_23228]) ).
tcf(c_25516,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25505,c_23233,c_103,c_23228]) ).
tcf(c_25521,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25510,c_23233,c_103,c_23228]) ).
tcf(c_25526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25502,c_23233,c_103,c_2614,c_23228]) ).
tcf(c_25533,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_25515,c_106]) ).
tcf(c_25534,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_25515,c_99]) ).
tcf(c_25535,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_25515,c_102]) ).
tcf(c_25536,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25534,c_103,c_23228]) ).
tcf(c_25540,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_25535,c_103,c_23228]) ).
tcf(c_25541,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_25533,c_23233,c_103,c_23228]) ).
tcf(c_25542,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25414,c_89]) ).
tcf(c_25544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25414,c_18982]) ).
tcf(c_25546,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25414,c_15630]) ).
tcf(c_25556,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sz00 ) ),
inference(superposition,[status(thm)],[c_25414,c_92]) ).
tcf(c_25557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25414,c_89]) ).
tcf(c_25558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25556,c_25266,c_103,c_25261]) ).
tcf(c_25564,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25542,c_25266,c_103,c_25261]) ).
tcf(c_25569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25544,c_25266,c_103,c_2614,c_25261]) ).
tcf(c_25579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25415,c_18291]) ).
tcf(c_25582,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_25415,c_91]) ).
tcf(c_25585,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25415,c_142]) ).
tcf(c_25587,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25415,c_87]) ).
tcf(c_25589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25415,c_87]) ).
tcf(c_25592,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_25585,c_103,c_25261]) ).
tcf(c_25593,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25582,c_25266,c_103,c_25261]) ).
tcf(c_25598,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25587,c_25266,c_103,c_25261]) ).
tcf(c_25603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25579,c_25266,c_103,c_2614,c_25261]) ).
tcf(c_25624,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_15931]) ).
tcf(c_25625,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sK2(sz00,sz00),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_15931]) ).
tcf(c_25626,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_15931]) ).
tcf(c_25627,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_15931]) ).
tcf(c_25628,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_15931]) ).
tcf(c_25629,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sK0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_15931]) ).
tcf(c_25630,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sK1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_15931]) ).
tcf(c_25631,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2475,c_15931]) ).
tcf(c_25632,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_15931]) ).
tcf(c_25633,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_15931]) ).
tcf(c_25634,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_15931]) ).
tcf(c_25635,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_15931]) ).
tcf(c_25636,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_15931]) ).
tcf(c_25637,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sK2(sz00,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_15931]) ).
tcf(c_25638,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sK2(sz00,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_15931]) ).
tcf(c_25639,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_15931]) ).
tcf(c_25640,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_15931]) ).
tcf(c_25641,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_15931]) ).
tcf(c_25643,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_15931]) ).
tcf(c_25644,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_15931]) ).
tcf(c_25645,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16253,c_15931]) ).
tcf(c_25646,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16533,c_15931]) ).
tcf(c_25647,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_15931]) ).
tcf(c_25648,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17183,c_15931]) ).
tcf(c_25649,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_109]) ).
tcf(c_25650,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_11962]) ).
tcf(c_25651,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_15931,c_8700]) ).
tcf(c_25654,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_73]) ).
tcf(c_25661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_109]) ).
tcf(c_25662,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_11962]) ).
tcf(c_25663,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_8700]) ).
tcf(c_25664,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_3979]) ).
tcf(c_25665,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15931,c_110]) ).
tcf(c_25666,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_73]) ).
tcf(c_25667,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_12182]) ).
tcf(c_25668,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_8702]) ).
tcf(c_25669,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_5910]) ).
tcf(c_25670,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25632,c_62]) ).
tcf(c_25676,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25631,c_59]) ).
tcf(c_25682,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sK1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25630,c_55]) ).
tcf(c_25688,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sK0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25629,c_52]) ).
tcf(c_25694,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25628,c_51]) ).
tcf(c_25700,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25627,c_50]) ).
tcf(c_25706,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25626,c_49]) ).
tcf(c_25712,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25624,c_103]) ).
tcf(c_25766,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25648,c_17110]) ).
tcf(c_25772,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25647,c_16905]) ).
tcf(c_25778,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25646,c_16398]) ).
tcf(c_25784,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25645,c_16168]) ).
tcf(c_25790,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25644,c_14856]) ).
tcf(c_25796,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25643,c_14661]) ).
tcf(c_25802,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25633,c_2518]) ).
tcf(c_25986,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_25651,c_8631,c_25651]) ).
tcf(c_25987,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_25986]) ).
tcf(c_26004,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_25987]) ).
tcf(c_26005,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_25987]) ).
tcf(c_26006,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26004,c_103]) ).
tcf(c_26014,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26005,c_2465]) ).
tcf(c_26015,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26014,c_103]) ).
tcf(c_26024,plain,
! [X0: $i] :
( ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(X0)
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_25663,c_8631,c_8652,c_25668]) ).
tcf(c_26025,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_26024]) ).
tcf(c_26041,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_109]) ).
tcf(c_26042,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_11962]) ).
tcf(c_26043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26025,c_8700]) ).
tcf(c_26044,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_3979]) ).
tcf(c_26045,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_26025,c_110]) ).
tcf(c_26046,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_73]) ).
tcf(c_26047,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_3965]) ).
tcf(c_26048,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26025,c_12182]) ).
tcf(c_26049,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26025,c_8702]) ).
tcf(c_26050,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26025,c_5910]) ).
tcf(c_26052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_8672]) ).
tcf(c_26060,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26047,c_2475]) ).
tcf(c_26175,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_26049,c_8631,c_26049]) ).
tcf(c_26176,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_26175]) ).
tcf(c_26191,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_108,c_26176]) ).
tcf(c_26192,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_15793,c_26176]) ).
tcf(c_26193,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26191,c_103]) ).
tcf(c_26200,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_26192,c_2465]) ).
tcf(c_26201,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26200,c_103]) ).
tcf(c_26209,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_26043,c_8631,c_26043]) ).
tcf(c_26210,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_26209]) ).
tcf(c_26230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_26210]) ).
tcf(c_26231,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_26210]) ).
tcf(c_26232,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26230,c_103]) ).
tcf(c_26241,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26231,c_2465]) ).
tcf(c_26242,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26241,c_103]) ).
tcf(c_26268,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_24215]) ).
tcf(c_26269,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_24215]) ).
tcf(c_26270,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_24215]) ).
tcf(c_26271,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_24215]) ).
tcf(c_26272,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_24215]) ).
tcf(c_26273,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sdtpldt0(sz00,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_24215]) ).
tcf(c_26274,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sdtpldt0(sz00,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_24215]) ).
tcf(c_26275,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2475,c_24215]) ).
tcf(c_26276,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_24215]) ).
tcf(c_26277,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_24215]) ).
tcf(c_26278,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xl)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_24215]) ).
tcf(c_26279,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_24215]) ).
tcf(c_26280,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_24215]) ).
tcf(c_26281,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_24215]) ).
tcf(c_26282,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_24215]) ).
tcf(c_26283,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_24215]) ).
tcf(c_26284,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_24215]) ).
tcf(c_26285,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_24215]) ).
tcf(c_26287,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_24215]) ).
tcf(c_26288,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_24215]) ).
tcf(c_26289,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16253,c_24215]) ).
tcf(c_26290,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16533,c_24215]) ).
tcf(c_26291,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_24215]) ).
tcf(c_26292,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17183,c_24215]) ).
tcf(c_26293,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sz00))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_24215]) ).
tcf(c_26294,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sz00)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_24215]) ).
tcf(c_26295,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_24215]) ).
tcf(c_26296,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_24215]) ).
tcf(c_26297,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_24215]) ).
tcf(c_26298,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_24215]) ).
tcf(c_26299,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_24215]) ).
tcf(c_26300,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2475,c_24215]) ).
tcf(c_26301,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_24215]) ).
tcf(c_26302,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_24215]) ).
tcf(c_26303,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xl)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_24215]) ).
tcf(c_26304,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_24215]) ).
tcf(c_26305,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_24215]) ).
tcf(c_26306,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_24215]) ).
tcf(c_26307,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_24215]) ).
tcf(c_26308,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_24215]) ).
tcf(c_26309,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_24215]) ).
tcf(c_26310,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_24215]) ).
tcf(c_26312,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_24215]) ).
tcf(c_26313,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_24215]) ).
tcf(c_26314,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16253,c_24215]) ).
tcf(c_26315,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16533,c_24215]) ).
tcf(c_26316,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_24215]) ).
tcf(c_26317,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17183,c_24215]) ).
tcf(c_26318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_109]) ).
tcf(c_26319,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_11962]) ).
tcf(c_26320,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_8700]) ).
tcf(c_26321,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_3979]) ).
tcf(c_26323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_73]) ).
tcf(c_26324,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_12182]) ).
tcf(c_26325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_8702]) ).
tcf(c_26326,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_5910]) ).
tcf(c_26327,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_109]) ).
tcf(c_26328,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_11962]) ).
tcf(c_26329,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_8700]) ).
tcf(c_26330,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_3979]) ).
tcf(c_26332,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_73]) ).
tcf(c_26333,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_5863]) ).
tcf(c_26335,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26301,c_2476]) ).
tcf(c_26336,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26335,c_62]) ).
tcf(c_26342,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26300,c_2475]) ).
tcf(c_26343,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26342,c_59]) ).
tcf(c_26349,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26299,c_2474]) ).
tcf(c_26350,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26349,c_55]) ).
tcf(c_26356,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26298,c_2473]) ).
tcf(c_26357,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26356,c_52]) ).
tcf(c_26363,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26297,c_2472]) ).
tcf(c_26364,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26363,c_51]) ).
tcf(c_26370,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26296,c_2471]) ).
tcf(c_26371,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26370,c_50]) ).
tcf(c_26377,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26295,c_2470]) ).
tcf(c_26378,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26377,c_49]) ).
tcf(c_26384,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sz00)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26293,c_2465]) ).
tcf(c_26385,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sz00)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26384,c_103]) ).
tcf(c_26407,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26309,c_3040]) ).
tcf(c_26414,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26308,c_3041]) ).
tcf(c_26421,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26307,c_3042]) ).
tcf(c_26428,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26306,c_3043]) ).
tcf(c_26435,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26305,c_3044]) ).
tcf(c_26442,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26304,c_3045]) ).
tcf(c_26449,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26303,c_3046]) ).
tcf(c_26456,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sz00)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26294,c_3036]) ).
tcf(c_26471,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26317,c_17183]) ).
tcf(c_26472,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26471,c_17110]) ).
tcf(c_26478,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26316,c_16965]) ).
tcf(c_26479,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26478,c_16905]) ).
tcf(c_26485,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26315,c_16533]) ).
tcf(c_26486,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26485,c_16398]) ).
tcf(c_26492,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26314,c_16253]) ).
tcf(c_26493,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26492,c_16168]) ).
tcf(c_26499,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26313,c_15047]) ).
tcf(c_26500,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26499,c_14856]) ).
tcf(c_26506,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26312,c_14759]) ).
tcf(c_26507,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26506,c_14661]) ).
tcf(c_26513,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_26302,c_2537]) ).
tcf(c_26514,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26513,c_2518]) ).
tcf(c_26534,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_26310,c_3894]) ).
tcf(c_26757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK1,sdtpldt0(xl,sK1))),sdtpldt0(xl,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_16567,c_70]) ).
tcf(c_26769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sK2(sK1,sdtpldt0(xl,sK1))))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_16567,c_70]) ).
tcf(c_26770,plain,
! [X0: $i] :
( ( sK2(sK1,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ( sdtpldt0(sK1,X0) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_16567,c_76]) ).
tcf(c_26771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sK1,X0))
| ( sK2(sK1,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sK1,sdtpldt0(xl,sK1)),X0) ),
inference(superposition,[status(thm)],[c_16567,c_68]) ).
tcf(c_26772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xl,sK1))
| ( sK2(sK1,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_16567,c_68]) ).
tcf(c_26773,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ~ doDivides0(X0,sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_16567,c_98]) ).
tcf(c_26774,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ( sdtpldt0(X0,sK2(sK1,sdtpldt0(xl,sK1))) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_16567,c_77]) ).
tcf(c_26775,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ( sdtpldt0(X0,sK2(sK1,sdtpldt0(xl,sK1))) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26774,c_55]) ).
tcf(c_26780,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ~ doDivides0(X0,sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26773,c_55]) ).
tcf(c_26786,plain,
! [X0: $i] :
( ( sK2(sK1,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ( sdtpldt0(sK1,X0) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26770,c_55]) ).
tcf(c_26791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sK2(sK1,sdtpldt0(xl,sK1))))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26769,c_55]) ).
tcf(c_26797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK1,sdtpldt0(xl,sK1))),sdtpldt0(xl,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26757,c_55]) ).
tcf(c_26803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xl,sK1))
| ( sK2(sK1,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sK2(sK1,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26772,c_55]) ).
tcf(c_26809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sK1,X0))
| ( sK2(sK1,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK1,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sK1,sdtpldt0(xl,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26771,c_55]) ).
tcf(c_26846,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25592,c_106]) ).
tcf(c_26847,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25592,c_99]) ).
tcf(c_26848,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25592,c_102]) ).
tcf(c_26849,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26847,c_103,c_25261]) ).
tcf(c_26853,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26848,c_103,c_25261]) ).
tcf(c_26854,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26846,c_25266,c_103,c_25261]) ).
tcf(c_26861,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_2700]) ).
tcf(c_26862,plain,
sdtpldt0(xm,sK0) = sdtpldt0(sK0,xm),
inference(superposition,[status(thm)],[c_52,c_2700]) ).
tcf(c_26863,plain,
sdtpldt0(xm,sK1) = sdtpldt0(sK1,xm),
inference(superposition,[status(thm)],[c_55,c_2700]) ).
tcf(c_26864,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_59,c_2700]) ).
tcf(c_26865,plain,
sdtpldt0(xm,xq) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_62,c_2700]) ).
tcf(c_26866,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2700]) ).
tcf(c_26867,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),xm) = sdtpldt0(xm,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2700]) ).
tcf(c_26868,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2700]) ).
tcf(c_26869,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xm) = sdtpldt0(xm,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2700]) ).
tcf(c_26870,plain,
sdtpldt0(xm,sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_103,c_2700]) ).
tcf(c_26871,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_105,c_2700]) ).
tcf(c_26872,plain,
sdtpldt0(sdtasdt0(xl,xq),xm) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2700]) ).
tcf(c_26873,plain,
sdtpldt0(sdtpldt0(xl,xm),xm) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2700]) ).
tcf(c_26874,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2700]) ).
tcf(c_26875,plain,
sdtpldt0(sdtpldt0(xl,sK0),xm) = sdtpldt0(xm,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2700]) ).
tcf(c_26876,plain,
sdtpldt0(sdtpldt0(xl,sK1),xm) = sdtpldt0(xm,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2700]) ).
tcf(c_26877,plain,
sdtpldt0(sdtpldt0(xl,xp),xm) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2700]) ).
tcf(c_26878,plain,
sdtpldt0(sdtpldt0(xl,xq),xm) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2700]) ).
tcf(c_26879,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2700]) ).
tcf(c_26880,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2700]) ).
tcf(c_26881,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2700]) ).
tcf(c_26882,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2700]) ).
tcf(c_26883,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2700]) ).
tcf(c_26885,plain,
sdtasdt0(xl,xq) = sdtpldt0(xn,xm),
inference(light_normalisation,[status(thm)],[c_26861,c_63]) ).
tcf(c_26973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_26862,c_70]) ).
tcf(c_26974,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_26862,c_24035]) ).
tcf(c_26975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_26862,c_17825]) ).
tcf(c_26976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_26862,c_17392]) ).
tcf(c_26977,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_26862,c_14477]) ).
tcf(c_26978,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26862,c_5155]) ).
tcf(c_26981,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_26862,c_75]) ).
tcf(c_26982,plain,
( ( sK0 = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_26862,c_74]) ).
tcf(c_26983,plain,
( sdtlseqdt0(sK0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26862,c_145]) ).
tcf(c_26984,plain,
( aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26862,c_84]) ).
tcf(c_26985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(X0,xm))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_26862,c_70]) ).
tcf(c_26986,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_26862,c_76]) ).
tcf(c_26987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(sK0,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_26862,c_68]) ).
tcf(c_26988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xm,sK0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_26862,c_68]) ).
tcf(c_26989,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_26862,c_98]) ).
tcf(c_26990,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_26862,c_77]) ).
tcf(c_26991,plain,
aNaturalNumber0(sdtpldt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_26984,c_52,c_50]) ).
tcf(c_26992,plain,
sdtlseqdt0(sK0,sdtpldt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_26983,c_52,c_50]) ).
tcf(c_26993,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26978,c_52,c_50]) ).
tcf(c_26999,plain,
sdtpldt0(xm,sK0) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26981,c_11841,c_52,c_50]) ).
tcf(c_27000,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26990,c_52,c_50]) ).
tcf(c_27004,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26989,c_52,c_50]) ).
tcf(c_27009,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26986,c_52,c_50]) ).
tcf(c_27013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xm,sK0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26988,c_52,c_50]) ).
tcf(c_27018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(sK0,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26987,c_52,c_50]) ).
tcf(c_27023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(X0,xm))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26985,c_52,c_50]) ).
tcf(c_27028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26973,c_52,c_50]) ).
tcf(c_27033,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26977,c_52,c_50]) ).
tcf(c_27038,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26974,c_52,c_50]) ).
tcf(c_27044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26976,c_52,c_50]) ).
tcf(c_27052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26975,c_52,c_50]) ).
tcf(c_27191,plain,
sdtpldt0(sdtpldt0(xm,sK0),xm) = sdtpldt0(xm,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2700]) ).
tcf(c_27192,plain,
sdtpldt0(sdtpldt0(xm,sK0),xl) = sdtpldt0(xl,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2699]) ).
tcf(c_27193,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sK0)),sdtasdt0(X0,sdtpldt0(xm,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26991,c_79]) ).
tcf(c_27194,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK0),X1),sdtasdt0(sdtpldt0(xm,sK0),X0)) = sdtasdt0(sdtpldt0(xm,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26991,c_78]) ).
tcf(c_27195,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK0),X1),X0) = sdtasdt0(sdtpldt0(xm,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26991,c_95]) ).
tcf(c_27196,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK0),X1),X0) = sdtpldt0(sdtpldt0(xm,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26991,c_82]) ).
tcf(c_27197,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK0),X0),sdtpldt0(xm,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26991,c_152]) ).
tcf(c_27198,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK0),X0) = sdtasdt0(X0,sdtpldt0(xm,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26991,c_96]) ).
tcf(c_27199,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK0),X0) = sdtpldt0(X0,sdtpldt0(xm,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26991,c_83]) ).
tcf(c_27200,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK0)) = sz00,
inference(superposition,[status(thm)],[c_26991,c_94]) ).
tcf(c_27201,plain,
sdtasdt0(sdtpldt0(xm,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_26991,c_93]) ).
tcf(c_27202,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK0)) = sdtpldt0(xm,sK0),
inference(superposition,[status(thm)],[c_26991,c_81]) ).
tcf(c_27203,plain,
sdtpldt0(sdtpldt0(xm,sK0),sz00) = sdtpldt0(xm,sK0),
inference(superposition,[status(thm)],[c_26991,c_80]) ).
tcf(c_27230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_26992,c_109]) ).
tcf(c_27231,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_26992,c_11962]) ).
tcf(c_27232,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_26992,c_8700]) ).
tcf(c_27234,plain,
( ( sdtpldt0(xm,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sK0) ),
inference(superposition,[status(thm)],[c_26992,c_110]) ).
tcf(c_27235,plain,
( ( sdtpldt0(sK0,sK2(sK0,sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_26992,c_73]) ).
tcf(c_27236,plain,
sdtpldt0(sK0,sK2(sK0,sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_27235,c_52,c_26991]) ).
tcf(c_27237,plain,
( ( sdtpldt0(xm,sK0) = sK0 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27234,c_52,c_26991]) ).
tcf(c_27240,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27230,c_52,c_26991]) ).
tcf(c_27244,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27231,c_52,c_26991]) ).
tcf(c_27251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_26863,c_70]) ).
tcf(c_27252,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_26863,c_24035]) ).
tcf(c_27253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_26863,c_17825]) ).
tcf(c_27254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_26863,c_17392]) ).
tcf(c_27255,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_26863,c_14477]) ).
tcf(c_27256,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26863,c_5155]) ).
tcf(c_27259,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_26863,c_75]) ).
tcf(c_27260,plain,
( ( sK1 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_26863,c_74]) ).
tcf(c_27261,plain,
( sdtlseqdt0(sK1,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26863,c_145]) ).
tcf(c_27262,plain,
( aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26863,c_84]) ).
tcf(c_27263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(X0,xm))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_26863,c_70]) ).
tcf(c_27264,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_26863,c_76]) ).
tcf(c_27265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(sK1,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_26863,c_68]) ).
tcf(c_27266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xm,sK1))
| ( X0 = xm )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_26863,c_68]) ).
tcf(c_27267,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_26863,c_98]) ).
tcf(c_27268,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_26863,c_77]) ).
tcf(c_27269,plain,
aNaturalNumber0(sdtpldt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_27262,c_55,c_50]) ).
tcf(c_27270,plain,
sdtlseqdt0(sK1,sdtpldt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_27261,c_55,c_50]) ).
tcf(c_27271,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27256,c_55,c_50]) ).
tcf(c_27277,plain,
sdtpldt0(xm,sK1) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27259,c_11841,c_55,c_50]) ).
tcf(c_27278,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27268,c_55,c_50]) ).
tcf(c_27282,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27267,c_55,c_50]) ).
tcf(c_27287,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27264,c_55,c_50]) ).
tcf(c_27291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xm,sK1))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27266,c_55,c_50]) ).
tcf(c_27296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(sK1,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27265,c_55,c_50]) ).
tcf(c_27301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(X0,xm))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27263,c_55,c_50]) ).
tcf(c_27306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27251,c_55,c_50]) ).
tcf(c_27311,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27255,c_55,c_50]) ).
tcf(c_27316,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27252,c_55,c_50]) ).
tcf(c_27322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27254,c_55,c_50]) ).
tcf(c_27330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27253,c_55,c_50]) ).
tcf(c_27480,plain,
sdtpldt0(sdtpldt0(xm,sK1),xm) = sdtpldt0(xm,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2700]) ).
tcf(c_27481,plain,
sdtpldt0(sdtpldt0(xm,sK1),xl) = sdtpldt0(xl,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2699]) ).
tcf(c_27482,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sK1)),sdtasdt0(X0,sdtpldt0(xm,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27269,c_79]) ).
tcf(c_27483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK1),X1),sdtasdt0(sdtpldt0(xm,sK1),X0)) = sdtasdt0(sdtpldt0(xm,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27269,c_78]) ).
tcf(c_27484,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK1),X1),X0) = sdtasdt0(sdtpldt0(xm,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27269,c_95]) ).
tcf(c_27485,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK1),X1),X0) = sdtpldt0(sdtpldt0(xm,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27269,c_82]) ).
tcf(c_27486,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sK1),X0),sdtpldt0(xm,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27269,c_152]) ).
tcf(c_27487,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK1),X0) = sdtasdt0(X0,sdtpldt0(xm,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27269,c_96]) ).
tcf(c_27488,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK1),X0) = sdtpldt0(X0,sdtpldt0(xm,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27269,c_83]) ).
tcf(c_27489,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK1)) = sz00,
inference(superposition,[status(thm)],[c_27269,c_94]) ).
tcf(c_27490,plain,
sdtasdt0(sdtpldt0(xm,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_27269,c_93]) ).
tcf(c_27491,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK1)) = sdtpldt0(xm,sK1),
inference(superposition,[status(thm)],[c_27269,c_81]) ).
tcf(c_27492,plain,
sdtpldt0(sdtpldt0(xm,sK1),sz00) = sdtpldt0(xm,sK1),
inference(superposition,[status(thm)],[c_27269,c_80]) ).
tcf(c_27527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10626,c_97,c_10626]) ).
tcf(c_27547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_27527]) ).
tcf(c_27571,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5370,c_27527]) ).
tcf(c_27575,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xl,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3172,c_27527]) ).
tcf(c_27576,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xm,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3171,c_27527]) ).
tcf(c_27577,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3170,c_27527]) ).
tcf(c_27578,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3169,c_27527]) ).
tcf(c_27579,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3168,c_27527]) ).
tcf(c_27581,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_3490,c_27527]) ).
tcf(c_27582,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_18638,c_27527]) ).
tcf(c_27605,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27579,c_55,c_2614]) ).
tcf(c_27612,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27578,c_52,c_2614]) ).
tcf(c_27619,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27577,c_51,c_2614]) ).
tcf(c_27626,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xm,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xm,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27576,c_50,c_2614]) ).
tcf(c_27633,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xl,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xl,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27575,c_49,c_2614]) ).
tcf(c_27640,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,xl)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27571,c_49,c_2614]) ).
tcf(c_27648,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27582,c_2614,c_2518]) ).
tcf(c_27655,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtasdt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtasdt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27581,c_2614,c_2518]) ).
tcf(c_27662,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_10271,c_62,c_10271,c_11614]) ).
tcf(c_27677,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_72,c_27662]) ).
tcf(c_27678,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27677,c_62,c_59,c_2649]) ).
tcf(c_27703,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_27678]) ).
tcf(c_27704,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2614,c_27678]) ).
tcf(c_27717,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sdtpldt0(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_27678]) ).
tcf(c_27719,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_27678]) ).
tcf(c_27721,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27703,c_103]) ).
tcf(c_27727,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sdtpldt0(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27717,c_62,c_103]) ).
tcf(c_27734,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_27719,c_2465]) ).
tcf(c_27735,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27734,c_103]) ).
tcf(c_27845,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_27721,c_109]) ).
tcf(c_27846,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_27721,c_11962]) ).
tcf(c_27847,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_27721,c_8700]) ).
tcf(c_27849,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_27721,c_110]) ).
tcf(c_27850,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27721,c_73]) ).
tcf(c_27856,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_27721,c_10332]) ).
tcf(c_27869,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27850,c_103]) ).
tcf(c_27876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27845,c_103]) ).
tcf(c_27884,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27846,c_103]) ).
tcf(c_27893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_70]) ).
tcf(c_27894,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16955,c_24035]) ).
tcf(c_27895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16955,c_17825]) ).
tcf(c_27896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16955,c_17392]) ).
tcf(c_27897,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16955,c_14477]) ).
tcf(c_27898,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_5155]) ).
tcf(c_27901,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16955,c_75]) ).
tcf(c_27903,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_145]) ).
tcf(c_27904,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_84]) ).
tcf(c_27905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_16955,c_70]) ).
tcf(c_27906,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_16955,c_76]) ).
tcf(c_27907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_68]) ).
tcf(c_27908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_68]) ).
tcf(c_27909,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_98]) ).
tcf(c_27910,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_16955,c_77]) ).
tcf(c_27911,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_27904,c_49,c_16905]) ).
tcf(c_27912,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_27903,c_49,c_16905]) ).
tcf(c_27913,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27898,c_49,c_16905]) ).
tcf(c_27916,plain,
sdtpldt0(xl,sdtpldt0(xl,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27901,c_58,c_49,c_16905]) ).
tcf(c_27917,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27910,c_49,c_16905]) ).
tcf(c_27921,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27909,c_49,c_16905]) ).
tcf(c_27926,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27906,c_49,c_16905]) ).
tcf(c_27930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27908,c_49,c_16905]) ).
tcf(c_27935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27907,c_49,c_16905]) ).
tcf(c_27940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27905,c_49,c_16905]) ).
tcf(c_27945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27893,c_49,c_16905]) ).
tcf(c_27950,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27897,c_49,c_16905]) ).
tcf(c_27955,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27894,c_49,c_16905]) ).
tcf(c_27961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27896,c_49,c_16905]) ).
tcf(c_27969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27895,c_49,c_16905]) ).
tcf(c_28027,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27270,c_109]) ).
tcf(c_28028,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27270,c_11962]) ).
tcf(c_28029,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_27270,c_8700]) ).
tcf(c_28031,plain,
( ( sdtpldt0(xm,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sK1) ),
inference(superposition,[status(thm)],[c_27270,c_110]) ).
tcf(c_28032,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27270,c_73]) ).
tcf(c_28033,plain,
sdtpldt0(sK1,sK2(sK1,sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_28032,c_55,c_27269]) ).
tcf(c_28034,plain,
( ( sdtpldt0(xm,sK1) = sK1 )
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28031,c_55,c_27269]) ).
tcf(c_28037,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28027,c_55,c_27269]) ).
tcf(c_28041,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28028,c_55,c_27269]) ).
tcf(c_28048,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2700]) ).
tcf(c_28049,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2699]) ).
tcf(c_28050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27911,c_79]) ).
tcf(c_28051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27911,c_78]) ).
tcf(c_28052,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27911,c_95]) ).
tcf(c_28053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27911,c_82]) ).
tcf(c_28054,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xl,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27911,c_152]) ).
tcf(c_28055,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27911,c_96]) ).
tcf(c_28056,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27911,c_83]) ).
tcf(c_28057,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))) = sz00,
inference(superposition,[status(thm)],[c_27911,c_94]) ).
tcf(c_28058,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_27911,c_93]) ).
tcf(c_28059,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_27911,c_81]) ).
tcf(c_28060,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_27911,c_80]) ).
tcf(c_28158,plain,
( ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != xq ) ),
inference(superposition,[status(thm)],[c_26864,c_65]) ).
tcf(c_28159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_26864,c_70]) ).
tcf(c_28161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_26864,c_17825]) ).
tcf(c_28162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_26864,c_17392]) ).
tcf(c_28163,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_26864,c_14477]) ).
tcf(c_28167,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_26864,c_75]) ).
tcf(c_28168,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_26864,c_74]) ).
tcf(c_28169,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26864,c_145]) ).
tcf(c_28170,plain,
( aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26864,c_84]) ).
tcf(c_28171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_26864,c_70]) ).
tcf(c_28172,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_26864,c_76]) ).
tcf(c_28173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_26864,c_68]) ).
tcf(c_28174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_26864,c_68]) ).
tcf(c_28175,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_26864,c_98]) ).
tcf(c_28176,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_26864,c_77]) ).
tcf(c_28177,plain,
aNaturalNumber0(sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_28170,c_59,c_50]) ).
tcf(c_28178,plain,
sdtpldt0(xm,xp) != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_28158,c_50]) ).
tcf(c_28179,plain,
sdtlseqdt0(xp,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_28169,c_59,c_50]) ).
tcf(c_28183,plain,
sdtpldt0(xm,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28167,c_11841,c_59,c_50]) ).
tcf(c_28184,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28176,c_59,c_50]) ).
tcf(c_28188,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28175,c_59,c_50]) ).
tcf(c_28193,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28172,c_59,c_50]) ).
tcf(c_28197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28174,c_59,c_50]) ).
tcf(c_28202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28173,c_59,c_50]) ).
tcf(c_28207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28171,c_59,c_50]) ).
tcf(c_28212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28159,c_59,c_50]) ).
tcf(c_28217,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28163,c_59,c_50]) ).
tcf(c_28222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28162,c_59,c_50]) ).
tcf(c_28230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28161,c_59,c_50]) ).
tcf(c_28245,plain,
sdtpldt0(sdtpldt0(xm,xp),xm) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2700]) ).
tcf(c_28246,plain,
sdtpldt0(sdtpldt0(xm,xp),xl) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2699]) ).
tcf(c_28247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,xp)),sdtasdt0(X0,sdtpldt0(xm,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28177,c_79]) ).
tcf(c_28248,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xp),X1),sdtasdt0(sdtpldt0(xm,xp),X0)) = sdtasdt0(sdtpldt0(xm,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28177,c_78]) ).
tcf(c_28249,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xp),X1),X0) = sdtasdt0(sdtpldt0(xm,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28177,c_95]) ).
tcf(c_28250,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),X1),X0) = sdtpldt0(sdtpldt0(xm,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28177,c_82]) ).
tcf(c_28251,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28177,c_152]) ).
tcf(c_28252,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xp),X0) = sdtasdt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28177,c_96]) ).
tcf(c_28253,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xp),X0) = sdtpldt0(X0,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28177,c_83]) ).
tcf(c_28254,plain,
sdtasdt0(sz00,sdtpldt0(xm,xp)) = sz00,
inference(superposition,[status(thm)],[c_28177,c_94]) ).
tcf(c_28255,plain,
sdtasdt0(sdtpldt0(xm,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_28177,c_93]) ).
tcf(c_28256,plain,
sdtpldt0(sz00,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_28177,c_81]) ).
tcf(c_28257,plain,
sdtpldt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_28177,c_80]) ).
tcf(c_28352,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28179,c_109]) ).
tcf(c_28353,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28179,c_11962]) ).
tcf(c_28354,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_28179,c_8700]) ).
tcf(c_28356,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(superposition,[status(thm)],[c_28179,c_110]) ).
tcf(c_28357,plain,
( ( sdtpldt0(xp,sK2(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28179,c_73]) ).
tcf(c_28358,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28179,c_3965]) ).
tcf(c_28359,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28358,c_28177]) ).
tcf(c_28362,plain,
sdtpldt0(xp,sK2(xp,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_28357,c_59,c_28177]) ).
tcf(c_28363,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28356,c_59,c_28177]) ).
tcf(c_28366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28352,c_59,c_28177]) ).
tcf(c_28370,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28353,c_59,c_28177]) ).
tcf(c_28379,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_10279,c_62,c_4453,c_10279,c_11614]) ).
tcf(c_28380,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(renaming,[status(thm)],[c_28379]) ).
tcf(c_28396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_108,c_28380]) ).
tcf(c_28423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_68,c_10288]) ).
tcf(c_28424,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xp)
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70,c_10288]) ).
tcf(c_28427,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_4095,c_10288]) ).
tcf(c_28428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_108,c_10288]) ).
tcf(c_28441,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_14112,c_10288]) ).
tcf(c_28445,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6346,c_10288]) ).
tcf(c_28447,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_10288]) ).
tcf(c_28448,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,X0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_10288]) ).
tcf(c_28450,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sz00)) ),
inference(superposition,[status(thm)],[c_2464,c_10288]) ).
tcf(c_28453,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_28450,c_2464]) ).
tcf(c_28454,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28453,c_62,c_103,c_2614]) ).
tcf(c_28460,plain,
! [X0: $i] :
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28441,c_49]) ).
tcf(c_28497,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xp)
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28424,c_62]) ).
tcf(c_28509,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28423,c_62]) ).
tcf(c_28521,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28447,c_62]) ).
tcf(c_28598,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_10645,c_62,c_10645,c_11614]) ).
tcf(c_28616,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_108,c_28598]) ).
tcf(c_28617,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2464,c_28598]) ).
tcf(c_28647,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_15792]) ).
tcf(c_28648,plain,
( sdtlseqdt0(xq,sK2(sz00,sz00))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_15792]) ).
tcf(c_28649,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_15792]) ).
tcf(c_28650,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_15792]) ).
tcf(c_28651,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_15792]) ).
tcf(c_28652,plain,
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_15792]) ).
tcf(c_28653,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_15792]) ).
tcf(c_28656,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_15792]) ).
tcf(c_28657,plain,
( sdtlseqdt0(xq,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_15792]) ).
tcf(c_28658,plain,
( sdtlseqdt0(xq,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_15792]) ).
tcf(c_28659,plain,
( sdtlseqdt0(xq,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_15792]) ).
tcf(c_28660,plain,
( sdtlseqdt0(xq,sK2(sz00,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_15792]) ).
tcf(c_28661,plain,
( sdtlseqdt0(xq,sK2(sz00,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_15792]) ).
tcf(c_28662,plain,
( sdtlseqdt0(xq,sK2(sz00,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_15792]) ).
tcf(c_28663,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xq,sK2(sz00,xq))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_15792]) ).
tcf(c_28664,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_15792]) ).
tcf(c_28666,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_15792]) ).
tcf(c_28667,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_15792]) ).
tcf(c_28668,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16253,c_15792]) ).
tcf(c_28669,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16533,c_15792]) ).
tcf(c_28670,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_15792]) ).
tcf(c_28672,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_109]) ).
tcf(c_28676,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_110]) ).
tcf(c_28677,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_73]) ).
tcf(c_28678,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_8679]) ).
tcf(c_28679,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_109]) ).
tcf(c_28680,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_11962]) ).
tcf(c_28681,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_8700]) ).
tcf(c_28682,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_3979]) ).
tcf(c_28683,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_15792,c_110]) ).
tcf(c_28684,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_73]) ).
tcf(c_28685,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_5863]) ).
tcf(c_28686,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_15792,c_20184]) ).
tcf(c_28687,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28653,c_55]) ).
tcf(c_28694,plain,
( sdtlseqdt0(xq,sK0)
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28652,c_52]) ).
tcf(c_28701,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28651,c_51]) ).
tcf(c_28708,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28650,c_50]) ).
tcf(c_28715,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28649,c_49]) ).
tcf(c_28779,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28670,c_16905]) ).
tcf(c_28786,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28669,c_16398]) ).
tcf(c_28793,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28668,c_16168]) ).
tcf(c_28800,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28667,c_14856]) ).
tcf(c_28807,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28666,c_14661]) ).
tcf(c_28814,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28656,c_2518]) ).
tcf(c_28821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28672,c_59]) ).
tcf(c_28831,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_28678,c_2475]) ).
tcf(c_28832,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28831,c_59]) ).
tcf(c_28841,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28677,c_59]) ).
tcf(c_28849,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28676,c_59]) ).
tcf(c_29310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_17075,c_70]) ).
tcf(c_29322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK2(xp,sdtpldt0(xl,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_17075,c_70]) ).
tcf(c_29323,plain,
! [X0: $i] :
( ( sK2(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_17075,c_76]) ).
tcf(c_29324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( sK2(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(xp,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_17075,c_68]) ).
tcf(c_29325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( sK2(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK2(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_17075,c_68]) ).
tcf(c_29326,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK2(xp,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_17075,c_98]) ).
tcf(c_29327,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK2(xp,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_17075,c_77]) ).
tcf(c_29328,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK2(xp,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29327,c_59]) ).
tcf(c_29333,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK2(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29326,c_59]) ).
tcf(c_29339,plain,
! [X0: $i] :
( ( sK2(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29323,c_59]) ).
tcf(c_29344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK2(xp,sdtpldt0(xl,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29322,c_59]) ).
tcf(c_29350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29310,c_59]) ).
tcf(c_29356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xl,xp))
| ( sK2(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK2(xp,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29325,c_59]) ).
tcf(c_29362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xp,X0))
| ( sK2(xp,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(xp,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29324,c_59]) ).
tcf(c_29374,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_26865,c_70]) ).
tcf(c_29376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_26865,c_17825]) ).
tcf(c_29377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_26865,c_17392]) ).
tcf(c_29378,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_26865,c_14477]) ).
tcf(c_29382,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_26865,c_75]) ).
tcf(c_29383,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_26865,c_74]) ).
tcf(c_29384,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26865,c_145]) ).
tcf(c_29385,plain,
( aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26865,c_84]) ).
tcf(c_29386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_26865,c_70]) ).
tcf(c_29387,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_26865,c_76]) ).
tcf(c_29388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_26865,c_68]) ).
tcf(c_29389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_26865,c_68]) ).
tcf(c_29390,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_26865,c_98]) ).
tcf(c_29391,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_26865,c_77]) ).
tcf(c_29392,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_26865,c_28598]) ).
tcf(c_29396,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_6431]) ).
tcf(c_29397,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_6346]) ).
tcf(c_29398,plain,
( ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xm,xq) != xp ) ),
inference(superposition,[status(thm)],[c_26865,c_4453]) ).
tcf(c_29400,plain,
aNaturalNumber0(sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_29385,c_62,c_50]) ).
tcf(c_29401,plain,
sdtlseqdt0(xq,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_29384,c_62,c_50]) ).
tcf(c_29405,plain,
sdtpldt0(xm,xq) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_29382,c_11841,c_62,c_50]) ).
tcf(c_29406,plain,
( ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xm,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29398,c_50]) ).
tcf(c_29410,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29391,c_62,c_50]) ).
tcf(c_29414,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29390,c_62,c_50]) ).
tcf(c_29419,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29387,c_62,c_50]) ).
tcf(c_29423,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29397,c_50]) ).
tcf(c_29428,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29396,c_50]) ).
tcf(c_29433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29389,c_62,c_50]) ).
tcf(c_29438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29388,c_62,c_50]) ).
tcf(c_29443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,xm))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29386,c_62,c_50]) ).
tcf(c_29448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29374,c_62,c_50]) ).
tcf(c_29453,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29378,c_62,c_50]) ).
tcf(c_29458,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29392,c_50]) ).
tcf(c_29465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29377,c_62,c_50]) ).
tcf(c_29473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29376,c_62,c_50]) ).
tcf(c_29576,plain,
sdtpldt0(sdtpldt0(xm,xq),xm) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2700]) ).
tcf(c_29577,plain,
sdtpldt0(sdtpldt0(xm,xq),xl) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2699]) ).
tcf(c_29578,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,xq)),sdtasdt0(X0,sdtpldt0(xm,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29400,c_79]) ).
tcf(c_29579,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xq),X1),sdtasdt0(sdtpldt0(xm,xq),X0)) = sdtasdt0(sdtpldt0(xm,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29400,c_78]) ).
tcf(c_29580,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xq),X1),X0) = sdtasdt0(sdtpldt0(xm,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29400,c_95]) ).
tcf(c_29581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xq),X1),X0) = sdtpldt0(sdtpldt0(xm,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29400,c_82]) ).
tcf(c_29582,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29400,c_152]) ).
tcf(c_29583,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xq),X0) = sdtasdt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29400,c_96]) ).
tcf(c_29584,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xq),X0) = sdtpldt0(X0,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29400,c_83]) ).
tcf(c_29585,plain,
sdtasdt0(sz00,sdtpldt0(xm,xq)) = sz00,
inference(superposition,[status(thm)],[c_29400,c_94]) ).
tcf(c_29586,plain,
sdtasdt0(sdtpldt0(xm,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_29400,c_93]) ).
tcf(c_29587,plain,
sdtpldt0(sz00,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_29400,c_81]) ).
tcf(c_29588,plain,
sdtpldt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_29400,c_80]) ).
tcf(c_29662,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29401,c_109]) ).
tcf(c_29663,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29401,c_11962]) ).
tcf(c_29664,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_29401,c_8700]) ).
tcf(c_29666,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(superposition,[status(thm)],[c_29401,c_110]) ).
tcf(c_29667,plain,
( ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29401,c_73]) ).
tcf(c_29668,plain,
sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_29667,c_62,c_29400]) ).
tcf(c_29669,plain,
( ( sdtpldt0(xm,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29666,c_62,c_29400]) ).
tcf(c_29672,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29662,c_62,c_29400]) ).
tcf(c_29676,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29663,c_62,c_29400]) ).
tcf(c_29683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_26885,c_70]) ).
tcf(c_29688,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26885,c_5155]) ).
tcf(c_29693,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_26885,c_145]) ).
tcf(c_29695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_26885,c_70]) ).
tcf(c_29696,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_26885,c_76]) ).
tcf(c_29697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_26885,c_68]) ).
tcf(c_29698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_26885,c_68]) ).
tcf(c_29700,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_26885,c_77]) ).
tcf(c_29701,plain,
sdtlseqdt0(xn,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_29693,c_51,c_50]) ).
tcf(c_29702,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29688,c_51,c_50]) ).
tcf(c_29705,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29700,c_51,c_50]) ).
tcf(c_29709,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29696,c_51,c_50]) ).
tcf(c_29713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xl,xq))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29698,c_51,c_50]) ).
tcf(c_29718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29697,c_51,c_50]) ).
tcf(c_29723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29695,c_51,c_50]) ).
tcf(c_29728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29683,c_51,c_50]) ).
tcf(c_29738,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_29701,c_109]) ).
tcf(c_29742,plain,
( ( sdtasdt0(xl,xq) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xn) ),
inference(superposition,[status(thm)],[c_29701,c_110]) ).
tcf(c_29743,plain,
( ( sdtpldt0(xn,sK2(xn,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_29701,c_73]) ).
tcf(c_29744,plain,
sdtpldt0(xn,sK2(xn,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_29743,c_51,c_2518]) ).
tcf(c_29745,plain,
( ( sdtasdt0(xl,xq) = xn )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29742,c_51,c_2518]) ).
tcf(c_29748,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29738,c_51,c_2518]) ).
tcf(c_29756,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_26993,c_109]) ).
tcf(c_29757,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_26993,c_11962]) ).
tcf(c_29758,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_26993,c_8700]) ).
tcf(c_29760,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xm,sK0) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),xq) ),
inference(superposition,[status(thm)],[c_26993,c_110]) ).
tcf(c_29761,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_26993,c_73]) ).
tcf(c_29762,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29761,c_62,c_26991]) ).
tcf(c_29765,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xm,sK0) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29760,c_62,c_26991]) ).
tcf(c_29769,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29756,c_62,c_26991]) ).
tcf(c_29774,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29757,c_62,c_26991]) ).
tcf(c_29782,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27200,c_89]) ).
tcf(c_29785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27200,c_18982]) ).
tcf(c_29787,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27200,c_15630]) ).
tcf(c_29797,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ( sdtasdt0(X0,sdtpldt0(xm,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_27200,c_92]) ).
tcf(c_29798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27200,c_89]) ).
tcf(c_29799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29797,c_26999,c_103,c_26991]) ).
tcf(c_29804,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29782,c_26999,c_103,c_26991]) ).
tcf(c_29810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29785,c_26999,c_103,c_2614,c_26991]) ).
tcf(c_29834,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sK2(sz00,sz00),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_15930]) ).
tcf(c_29835,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_15930]) ).
tcf(c_29836,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_15930]) ).
tcf(c_29837,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_15930]) ).
tcf(c_29838,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_15930]) ).
tcf(c_29839,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_15930]) ).
tcf(c_29842,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_15930]) ).
tcf(c_29843,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_15930]) ).
tcf(c_29844,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_15930]) ).
tcf(c_29845,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_15930]) ).
tcf(c_29846,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sK2(sz00,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_15930]) ).
tcf(c_29847,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sK2(sz00,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_15930]) ).
tcf(c_29848,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_15930]) ).
tcf(c_29849,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_15930]) ).
tcf(c_29850,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_15930]) ).
tcf(c_29852,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_15930]) ).
tcf(c_29853,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_15930]) ).
tcf(c_29854,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16253,c_15930]) ).
tcf(c_29855,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16533,c_15930]) ).
tcf(c_29856,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_15930]) ).
tcf(c_29857,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17183,c_15930]) ).
tcf(c_29858,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_109]) ).
tcf(c_29859,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_11962]) ).
tcf(c_29860,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_8700]) ).
tcf(c_29861,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_3979]) ).
tcf(c_29862,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15930,c_110]) ).
tcf(c_29863,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_73]) ).
tcf(c_29864,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_12182]) ).
tcf(c_29865,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_8702]) ).
tcf(c_29866,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_5910]) ).
tcf(c_29867,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29839,c_55]) ).
tcf(c_29874,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29838,c_52]) ).
tcf(c_29881,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29837,c_51]) ).
tcf(c_29888,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29836,c_50]) ).
tcf(c_29895,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29835,c_49]) ).
tcf(c_29958,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29857,c_17110]) ).
tcf(c_29965,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29856,c_16905]) ).
tcf(c_29972,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29855,c_16398]) ).
tcf(c_29979,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29854,c_16168]) ).
tcf(c_29986,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29853,c_14856]) ).
tcf(c_29993,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29852,c_14661]) ).
tcf(c_30000,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29842,c_2518]) ).
tcf(c_30160,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21447,c_84]) ).
tcf(c_30184,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_30160]) ).
tcf(c_30187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_70]) ).
tcf(c_30188,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17173,c_24035]) ).
tcf(c_30189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17173,c_17825]) ).
tcf(c_30190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17173,c_17392]) ).
tcf(c_30191,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17173,c_14477]) ).
tcf(c_30192,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_5155]) ).
tcf(c_30195,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_17173,c_75]) ).
tcf(c_30197,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_145]) ).
tcf(c_30198,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_84]) ).
tcf(c_30199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_17173,c_70]) ).
tcf(c_30200,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,sdtpldt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_17173,c_76]) ).
tcf(c_30201,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_68]) ).
tcf(c_30202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_68]) ).
tcf(c_30203,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_98]) ).
tcf(c_30204,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_17173,c_77]) ).
tcf(c_30205,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_30198,c_49,c_17110]) ).
tcf(c_30206,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_30197,c_49,c_17110]) ).
tcf(c_30207,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30192,c_49,c_17110]) ).
tcf(c_30210,plain,
sdtpldt0(xl,sdtpldt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30195,c_58,c_49,c_17110]) ).
tcf(c_30211,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30204,c_49,c_17110]) ).
tcf(c_30215,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30203,c_49,c_17110]) ).
tcf(c_30220,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,sdtpldt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30200,c_49,c_17110]) ).
tcf(c_30224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30202,c_49,c_17110]) ).
tcf(c_30229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30201,c_49,c_17110]) ).
tcf(c_30234,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30199,c_49,c_17110]) ).
tcf(c_30239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30187,c_49,c_17110]) ).
tcf(c_30244,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30191,c_49,c_17110]) ).
tcf(c_30249,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30188,c_49,c_17110]) ).
tcf(c_30255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30190,c_49,c_17110]) ).
tcf(c_30263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30189,c_49,c_17110]) ).
tcf(c_30322,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2700]) ).
tcf(c_30323,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2699]) ).
tcf(c_30324,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30205,c_79]) ).
tcf(c_30325,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30205,c_78]) ).
tcf(c_30326,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30205,c_95]) ).
tcf(c_30327,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30205,c_82]) ).
tcf(c_30328,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sdtpldt0(xl,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30205,c_152]) ).
tcf(c_30329,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30205,c_96]) ).
tcf(c_30330,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30205,c_83]) ).
tcf(c_30331,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_30205,c_94]) ).
tcf(c_30332,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30205,c_93]) ).
tcf(c_30333,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_30205,c_81]) ).
tcf(c_30334,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_30205,c_80]) ).
tcf(c_30365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27201,c_18291]) ).
tcf(c_30368,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ( sdtasdt0(sdtpldt0(xm,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_27201,c_91]) ).
tcf(c_30371,plain,
( doDivides0(sdtpldt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27201,c_142]) ).
tcf(c_30373,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27201,c_87]) ).
tcf(c_30375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27201,c_87]) ).
tcf(c_30378,plain,
doDivides0(sdtpldt0(xm,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_30371,c_103,c_26991]) ).
tcf(c_30379,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30368,c_26999,c_103,c_26991]) ).
tcf(c_30384,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30373,c_26999,c_103,c_26991]) ).
tcf(c_30389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30365,c_26999,c_103,c_2614,c_26991]) ).
tcf(c_30396,plain,
( ( sdtpldt0(xm,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK0),sdtsldt0(sz00,sdtpldt0(xm,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_30378,c_106]) ).
tcf(c_30397,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_30378,c_99]) ).
tcf(c_30398,plain,
( ( sdtasdt0(sdtpldt0(xm,sK0),sK3(sdtpldt0(xm,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_30378,c_102]) ).
tcf(c_30399,plain,
sdtasdt0(sdtpldt0(xm,sK0),sK3(sdtpldt0(xm,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30398,c_103,c_26991]) ).
tcf(c_30400,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30397,c_103,c_26991]) ).
tcf(c_30404,plain,
sdtasdt0(sdtpldt0(xm,sK0),sdtsldt0(sz00,sdtpldt0(xm,sK0))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30396,c_26999,c_103,c_26991]) ).
tcf(c_30405,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27489,c_89]) ).
tcf(c_30408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27489,c_18982]) ).
tcf(c_30410,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27489,c_15630]) ).
tcf(c_30420,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ( sdtasdt0(X0,sdtpldt0(xm,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_27489,c_92]) ).
tcf(c_30421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27489,c_89]) ).
tcf(c_30422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30420,c_27277,c_103,c_27269]) ).
tcf(c_30427,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30405,c_27277,c_103,c_27269]) ).
tcf(c_30433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30408,c_27277,c_103,c_2614,c_27269]) ).
tcf(c_30444,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27271,c_109]) ).
tcf(c_30445,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27271,c_11962]) ).
tcf(c_30446,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_27271,c_8700]) ).
tcf(c_30448,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xm,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),xq) ),
inference(superposition,[status(thm)],[c_27271,c_110]) ).
tcf(c_30449,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27271,c_73]) ).
tcf(c_30450,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30449,c_62,c_27269]) ).
tcf(c_30453,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xm,sK1) = xq )
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30448,c_62,c_27269]) ).
tcf(c_30457,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30444,c_62,c_27269]) ).
tcf(c_30462,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30445,c_62,c_27269]) ).
tcf(c_30516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27490,c_18291]) ).
tcf(c_30519,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ( sdtasdt0(sdtpldt0(xm,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_27490,c_91]) ).
tcf(c_30522,plain,
( doDivides0(sdtpldt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27490,c_142]) ).
tcf(c_30524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27490,c_87]) ).
tcf(c_30526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27490,c_87]) ).
tcf(c_30529,plain,
doDivides0(sdtpldt0(xm,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_30522,c_103,c_27269]) ).
tcf(c_30530,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30519,c_27277,c_103,c_27269]) ).
tcf(c_30535,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30524,c_27277,c_103,c_27269]) ).
tcf(c_30540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30516,c_27277,c_103,c_2614,c_27269]) ).
tcf(c_30547,plain,
( ( sdtpldt0(xm,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sK1),sdtsldt0(sz00,sdtpldt0(xm,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_30529,c_106]) ).
tcf(c_30548,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_30529,c_99]) ).
tcf(c_30549,plain,
( ( sdtasdt0(sdtpldt0(xm,sK1),sK3(sdtpldt0(xm,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_30529,c_102]) ).
tcf(c_30550,plain,
sdtasdt0(sdtpldt0(xm,sK1),sK3(sdtpldt0(xm,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30549,c_103,c_27269]) ).
tcf(c_30551,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30548,c_103,c_27269]) ).
tcf(c_30555,plain,
sdtasdt0(sdtpldt0(xm,sK1),sdtsldt0(sz00,sdtpldt0(xm,sK1))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30547,c_27277,c_103,c_27269]) ).
tcf(c_30556,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28254,c_89]) ).
tcf(c_30559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28254,c_18982]) ).
tcf(c_30561,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28254,c_15630]) ).
tcf(c_30571,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtasdt0(X0,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_28254,c_92]) ).
tcf(c_30572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28254,c_89]) ).
tcf(c_30573,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30571,c_28183,c_103,c_28177]) ).
tcf(c_30578,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30556,c_28183,c_103,c_28177]) ).
tcf(c_30584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30559,c_28183,c_103,c_2614,c_28177]) ).
tcf(c_30605,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ sdtlseqdt0(sdtpldt0(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_26052]) ).
tcf(c_30606,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sz00)),sz00) ),
inference(superposition,[status(thm)],[c_3036,c_26052]) ).
tcf(c_30607,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ~ sdtlseqdt0(sdtpldt0(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_26052]) ).
tcf(c_30608,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_26052]) ).
tcf(c_30609,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ sdtlseqdt0(sdtpldt0(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_26052]) ).
tcf(c_30610,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_26052]) ).
tcf(c_30611,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_26052]) ).
tcf(c_30612,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2475,c_26052]) ).
tcf(c_30613,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ sdtlseqdt0(sdtpldt0(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_26052]) ).
tcf(c_30614,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_2537,c_26052]) ).
tcf(c_30615,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xl)),sz00) ),
inference(superposition,[status(thm)],[c_3046,c_26052]) ).
tcf(c_30616,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xm)),sz00) ),
inference(superposition,[status(thm)],[c_3045,c_26052]) ).
tcf(c_30617,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xn)),sz00) ),
inference(superposition,[status(thm)],[c_3044,c_26052]) ).
tcf(c_30618,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_3043,c_26052]) ).
tcf(c_30619,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_3042,c_26052]) ).
tcf(c_30620,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xp)),sz00) ),
inference(superposition,[status(thm)],[c_3041,c_26052]) ).
tcf(c_30621,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3040,c_26052]) ).
tcf(c_30622,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_3894,c_26052]) ).
tcf(c_30624,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_14759,c_26052]) ).
tcf(c_30625,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_15047,c_26052]) ).
tcf(c_30626,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_16253,c_26052]) ).
tcf(c_30627,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_16533,c_26052]) ).
tcf(c_30628,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16965,c_26052]) ).
tcf(c_30629,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17183,c_26052]) ).
tcf(c_30630,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(sdtpldt0(sz00,X1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_109]) ).
tcf(c_30631,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_11962]) ).
tcf(c_30632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_8700]) ).
tcf(c_30633,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_3979]) ).
tcf(c_30634,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_26052,c_110]) ).
tcf(c_30635,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_73]) ).
tcf(c_30636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_5863]) ).
tcf(c_30638,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30613,c_2476]) ).
tcf(c_30639,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30638,c_62]) ).
tcf(c_30645,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30612,c_2475]) ).
tcf(c_30646,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30611,c_2474]) ).
tcf(c_30647,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30646,c_55]) ).
tcf(c_30653,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30610,c_2473]) ).
tcf(c_30654,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30653,c_52]) ).
tcf(c_30660,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30609,c_2472]) ).
tcf(c_30661,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30660,c_51]) ).
tcf(c_30667,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30608,c_2471]) ).
tcf(c_30668,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30607,c_2470]) ).
tcf(c_30669,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30605,c_2465]) ).
tcf(c_30671,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30621,c_3040]) ).
tcf(c_30672,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30671,c_62]) ).
tcf(c_30679,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30620,c_3041]) ).
tcf(c_30680,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30619,c_3042]) ).
tcf(c_30681,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30680,c_55]) ).
tcf(c_30688,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30618,c_3043]) ).
tcf(c_30689,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30688,c_52]) ).
tcf(c_30696,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30617,c_3044]) ).
tcf(c_30697,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30696,c_51]) ).
tcf(c_30704,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30616,c_3045]) ).
tcf(c_30705,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30615,c_3046]) ).
tcf(c_30706,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30606,c_3036]) ).
tcf(c_30707,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30706,c_103,c_2614]) ).
tcf(c_30722,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30629,c_17183]) ).
tcf(c_30723,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30628,c_16965]) ).
tcf(c_30724,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30627,c_16533]) ).
tcf(c_30725,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30626,c_16253]) ).
tcf(c_30726,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30625,c_15047]) ).
tcf(c_30727,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30624,c_14759]) ).
tcf(c_30728,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30614,c_2537]) ).
tcf(c_30783,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_30622,c_3894]) ).
tcf(c_30807,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_145,c_26045]) ).
tcf(c_30808,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_85,c_26045]) ).
tcf(c_30812,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ sdtlseqdt0(sdtpldt0(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_26045]) ).
tcf(c_30813,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_26045]) ).
tcf(c_30814,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_26045]) ).
tcf(c_30815,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3970,c_26045]) ).
tcf(c_30817,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_26045]) ).
tcf(c_30818,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_26045]) ).
tcf(c_30819,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ~ sdtlseqdt0(sdtpldt0(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_26045]) ).
tcf(c_30820,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ sdtlseqdt0(sdtpldt0(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_26045]) ).
tcf(c_30821,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13423,c_26045]) ).
tcf(c_30822,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13198,c_26045]) ).
tcf(c_30824,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_12725,c_26045]) ).
tcf(c_30830,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_26045]) ).
tcf(c_30831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24885,c_26045]) ).
tcf(c_30832,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30822,c_2474]) ).
tcf(c_30833,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30832,c_55]) ).
tcf(c_30839,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30821,c_2473]) ).
tcf(c_30840,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30839,c_52]) ).
tcf(c_30846,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30820,c_2472]) ).
tcf(c_30847,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30846,c_51]) ).
tcf(c_30853,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30819,c_2470]) ).
tcf(c_30854,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30818,c_2471]) ).
tcf(c_30855,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30817,c_2471]) ).
tcf(c_30856,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30813,c_2475]) ).
tcf(c_30857,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30812,c_2476]) ).
tcf(c_30858,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30857,c_62]) ).
tcf(c_30864,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30814,c_2475]) ).
tcf(c_30865,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30815,c_2475]) ).
tcf(c_30866,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_30830,c_2475]) ).
tcf(c_31012,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_15943,c_8631,c_15943]) ).
tcf(c_31024,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_109]) ).
tcf(c_31025,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_11962]) ).
tcf(c_31026,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_31012,c_8700]) ).
tcf(c_31027,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_3979]) ).
tcf(c_31028,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_31012,c_110]) ).
tcf(c_31029,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_73]) ).
tcf(c_31030,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_12182]) ).
tcf(c_31031,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_31012,c_8702]) ).
tcf(c_31032,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_5910]) ).
tcf(c_31222,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_26044]) ).
tcf(c_31224,plain,
( sdtlseqdt0(sK2(sz00,sz00),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_3036,c_26044]) ).
tcf(c_31227,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_26044]) ).
tcf(c_31228,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_26044]) ).
tcf(c_31229,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_26044]) ).
tcf(c_31235,plain,
( sdtlseqdt0(sK2(sz00,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_26044]) ).
tcf(c_31236,plain,
( sdtlseqdt0(sK2(sz00,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_26044]) ).
tcf(c_31237,plain,
( sdtlseqdt0(sK2(sz00,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_26044]) ).
tcf(c_31239,plain,
( sdtlseqdt0(sK2(sz00,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_26044]) ).
tcf(c_31248,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31229,c_2474]) ).
tcf(c_31249,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31248,c_55]) ).
tcf(c_31256,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31228,c_2473]) ).
tcf(c_31257,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31256,c_52]) ).
tcf(c_31264,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31227,c_2472]) ).
tcf(c_31265,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31264,c_51]) ).
tcf(c_31272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31222,c_103]) ).
tcf(c_31281,plain,
( sdtlseqdt0(sK2(sz00,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31239,c_3040]) ).
tcf(c_31282,plain,
( sdtlseqdt0(sK2(sz00,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31281,c_62]) ).
tcf(c_31290,plain,
( sdtlseqdt0(sK2(sz00,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31237,c_3042]) ).
tcf(c_31291,plain,
( sdtlseqdt0(sK2(sz00,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31290,c_55]) ).
tcf(c_31299,plain,
( sdtlseqdt0(sK2(sz00,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31236,c_3043]) ).
tcf(c_31300,plain,
( sdtlseqdt0(sK2(sz00,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31299,c_52]) ).
tcf(c_31308,plain,
( sdtlseqdt0(sK2(sz00,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31235,c_3044]) ).
tcf(c_31309,plain,
( sdtlseqdt0(sK2(sz00,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31308,c_51]) ).
tcf(c_31317,plain,
( sdtlseqdt0(sK2(sz00,sz00),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_31224,c_3036]) ).
tcf(c_31318,plain,
( sdtlseqdt0(sK2(sz00,sz00),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31317,c_103,c_2614]) ).
tcf(c_31325,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_15806,c_8631,c_15806]) ).
tcf(c_31337,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_31325,c_109]) ).
tcf(c_31341,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_31325,c_110]) ).
tcf(c_31342,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_31325,c_73]) ).
tcf(c_31343,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31337,c_59]) ).
tcf(c_31352,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31342,c_59]) ).
tcf(c_31359,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31341,c_59]) ).
tcf(c_31367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_70]) ).
tcf(c_31379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK2(xq,sdtpldt0(xl,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_70]) ).
tcf(c_31380,plain,
! [X0: $i] :
( ( sK2(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_17331,c_76]) ).
tcf(c_31381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( sK2(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_17331,c_68]) ).
tcf(c_31382,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( sK2(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_68]) ).
tcf(c_31383,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_98]) ).
tcf(c_31384,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xq,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_17331,c_77]) ).
tcf(c_31386,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17331,c_28380]) ).
tcf(c_31387,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_11906]) ).
tcf(c_31388,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17331,c_8706]) ).
tcf(c_31389,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_6431]) ).
tcf(c_31390,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_6346]) ).
tcf(c_31391,plain,
( ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) != xp ) ),
inference(superposition,[status(thm)],[c_17331,c_4453]) ).
tcf(c_31392,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_17331,c_10288]) ).
tcf(c_31397,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xq,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31384,c_62]) ).
tcf(c_31402,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK2(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31383,c_62]) ).
tcf(c_31408,plain,
! [X0: $i] :
( ( sK2(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31380,c_62]) ).
tcf(c_31413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK2(xq,sdtpldt0(xl,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31379,c_62]) ).
tcf(c_31419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31367,c_62]) ).
tcf(c_31435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xl,xq))
| ( sK2(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31382,c_62]) ).
tcf(c_31441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xq,X0))
| ( sK2(xq,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31381,c_62]) ).
tcf(c_31465,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_31392,c_17331]) ).
tcf(c_31466,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31465,c_17110]) ).
tcf(c_31587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28255,c_18291]) ).
tcf(c_31590,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_28255,c_91]) ).
tcf(c_31593,plain,
( doDivides0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28255,c_142]) ).
tcf(c_31595,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28255,c_87]) ).
tcf(c_31597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28255,c_87]) ).
tcf(c_31600,plain,
doDivides0(sdtpldt0(xm,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_31593,c_103,c_28177]) ).
tcf(c_31601,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31590,c_28183,c_103,c_28177]) ).
tcf(c_31606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31595,c_28183,c_103,c_28177]) ).
tcf(c_31611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31587,c_28183,c_103,c_2614,c_28177]) ).
tcf(c_31618,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xp),sdtsldt0(sz00,sdtpldt0(xm,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_31600,c_106]) ).
tcf(c_31619,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_31600,c_99]) ).
tcf(c_31620,plain,
( ( sdtasdt0(sdtpldt0(xm,xp),sK3(sdtpldt0(xm,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_31600,c_102]) ).
tcf(c_31621,plain,
sdtasdt0(sdtpldt0(xm,xp),sK3(sdtpldt0(xm,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31620,c_103,c_28177]) ).
tcf(c_31622,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31619,c_103,c_28177]) ).
tcf(c_31626,plain,
sdtasdt0(sdtpldt0(xm,xp),sdtsldt0(sz00,sdtpldt0(xm,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31618,c_28183,c_103,c_28177]) ).
tcf(c_31627,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29585,c_89]) ).
tcf(c_31630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29585,c_18982]) ).
tcf(c_31632,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29585,c_15630]) ).
tcf(c_31642,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtasdt0(X0,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_29585,c_92]) ).
tcf(c_31643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29585,c_89]) ).
tcf(c_31644,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31642,c_29405,c_103,c_29400]) ).
tcf(c_31649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31627,c_29405,c_103,c_29400]) ).
tcf(c_31655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31630,c_29405,c_103,c_2614,c_29400]) ).
tcf(c_31666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29586,c_18291]) ).
tcf(c_31669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29586,c_91]) ).
tcf(c_31672,plain,
( doDivides0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29586,c_142]) ).
tcf(c_31674,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29586,c_87]) ).
tcf(c_31676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29586,c_87]) ).
tcf(c_31679,plain,
doDivides0(sdtpldt0(xm,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_31672,c_103,c_29400]) ).
tcf(c_31680,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31669,c_29405,c_103,c_29400]) ).
tcf(c_31685,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31674,c_29405,c_103,c_29400]) ).
tcf(c_31690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31666,c_29405,c_103,c_2614,c_29400]) ).
tcf(c_31697,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xq),sdtsldt0(sz00,sdtpldt0(xm,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_31679,c_106]) ).
tcf(c_31698,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_31679,c_99]) ).
tcf(c_31699,plain,
( ( sdtasdt0(sdtpldt0(xm,xq),sK3(sdtpldt0(xm,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_31679,c_102]) ).
tcf(c_31700,plain,
sdtasdt0(sdtpldt0(xm,xq),sK3(sdtpldt0(xm,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31699,c_103,c_29400]) ).
tcf(c_31701,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31698,c_103,c_29400]) ).
tcf(c_31705,plain,
sdtasdt0(sdtpldt0(xm,xq),sdtsldt0(sz00,sdtpldt0(xm,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31697,c_29405,c_103,c_29400]) ).
tcf(c_31710,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_29702,c_109]) ).
tcf(c_31714,plain,
( sdtlseqdt0(xn,xp)
| ( sdtasdt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_29702,c_110]) ).
tcf(c_31715,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_29702,c_73]) ).
tcf(c_31716,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31715,c_62,c_2518]) ).
tcf(c_31719,plain,
( sdtlseqdt0(xn,xp)
| ( sdtasdt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31714,c_62,c_2518]) ).
tcf(c_31723,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31710,c_62,c_2518]) ).
tcf(c_31791,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_27912,c_109]) ).
tcf(c_31792,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_27912,c_11962]) ).
tcf(c_31793,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_27912,c_8700]) ).
tcf(c_31795,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_27912,c_110]) ).
tcf(c_31796,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_27912,c_73]) ).
tcf(c_31797,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31791,c_16905,c_27911]) ).
tcf(c_31801,plain,
sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_31796,c_16905,c_27911]) ).
tcf(c_31802,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31795,c_16905,c_27911]) ).
tcf(c_31805,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31792,c_16905,c_27911]) ).
tcf(c_31826,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108,c_31388]) ).
tcf(c_31828,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_15946,c_8631,c_15946]) ).
tcf(c_31840,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_109]) ).
tcf(c_31841,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_11962]) ).
tcf(c_31843,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_3979]) ).
tcf(c_31844,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_31828,c_110]) ).
tcf(c_31845,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_73]) ).
tcf(c_31846,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_12182]) ).
tcf(c_31847,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_31828,c_8702]) ).
tcf(c_31848,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_5910]) ).
tcf(c_32019,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_31847,c_8631,c_26050]) ).
tcf(c_32033,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32019,c_109]) ).
tcf(c_32034,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32019,c_11962]) ).
tcf(c_32035,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_32019,c_8700]) ).
tcf(c_32037,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp) ),
inference(superposition,[status(thm)],[c_32019,c_110]) ).
tcf(c_32038,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32019,c_73]) ).
tcf(c_32039,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32019,c_3965]) ).
tcf(c_32050,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32033,c_59]) ).
tcf(c_32060,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32034,c_59]) ).
tcf(c_32070,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32038,c_59]) ).
tcf(c_32078,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32037,c_59]) ).
tcf(c_32087,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32035,c_59]) ).
tcf(c_32116,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_109]) ).
tcf(c_32117,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_11962]) ).
tcf(c_32118,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_8700]) ).
tcf(c_32119,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_3979]) ).
tcf(c_32120,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_110]) ).
tcf(c_32121,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_73]) ).
tcf(c_32122,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_5863]) ).
tcf(c_32123,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24912,c_26045]) ).
tcf(c_32124,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_8679]) ).
tcf(c_32223,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_109]) ).
tcf(c_32224,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_11962]) ).
tcf(c_32225,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_8700]) ).
tcf(c_32226,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_3979]) ).
tcf(c_32227,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_110]) ).
tcf(c_32228,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_73]) ).
tcf(c_32229,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_5863]) ).
tcf(c_32230,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24913,c_26045]) ).
tcf(c_32231,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_8679]) ).
tcf(c_32368,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)))
| ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_89]) ).
tcf(c_32370,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_27527]) ).
tcf(c_32371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_18982]) ).
tcf(c_32372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_18291]) ).
tcf(c_32373,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_15630]) ).
tcf(c_32375,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18776,c_91]) ).
tcf(c_32376,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_5229]) ).
tcf(c_32377,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_90]) ).
tcf(c_32380,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sdtpldt0(xl,xm) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xm),sz00),X0) ),
inference(superposition,[status(thm)],[c_18776,c_87]) ).
tcf(c_32381,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_85]) ).
tcf(c_32382,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sdtpldt0(xl,xm) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_87]) ).
tcf(c_32383,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_18776,c_92]) ).
tcf(c_32384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(superposition,[status(thm)],[c_18776,c_89]) ).
tcf(c_32385,plain,
( ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32381,c_21012,c_14661]) ).
tcf(c_32390,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32375,c_14666,c_14661]) ).
tcf(c_32395,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32383,c_14661]) ).
tcf(c_32401,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32373,c_2614,c_14661]) ).
tcf(c_32407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32384,c_14661]) ).
tcf(c_32414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32382,c_14666,c_14661]) ).
tcf(c_32420,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xm),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32380,c_14666,c_14661]) ).
tcf(c_32426,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)))
| ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32368,c_14661]) ).
tcf(c_32433,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32370,c_2614,c_14661]) ).
tcf(c_32440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32372,c_14666,c_2614,c_14661]) ).
tcf(c_32448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xm),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ( sK3(sdtpldt0(xl,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32371,c_2614,c_14661]) ).
tcf(c_32457,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30206,c_109]) ).
tcf(c_32458,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30206,c_11962]) ).
tcf(c_32459,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_30206,c_8700]) ).
tcf(c_32461,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_30206,c_110]) ).
tcf(c_32462,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK2(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30206,c_73]) ).
tcf(c_32463,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32457,c_17110,c_30205]) ).
tcf(c_32467,plain,
sdtpldt0(sdtpldt0(xl,xq),sK2(sdtpldt0(xl,xq),sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_32462,c_17110,c_30205]) ).
tcf(c_32468,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32461,c_17110,c_30205]) ).
tcf(c_32471,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32458,c_17110,c_30205]) ).
tcf(c_32478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK0)),sdtpldt0(xm,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27202,c_70]) ).
tcf(c_32480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_27202,c_17825]) ).
tcf(c_32481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27202,c_17392]) ).
tcf(c_32482,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_27202,c_14477]) ).
tcf(c_32488,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27202,c_145]) ).
tcf(c_32490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(X0,sdtpldt0(xm,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27202,c_70]) ).
tcf(c_32491,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_27202,c_76]) ).
tcf(c_32492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),X0) ),
inference(superposition,[status(thm)],[c_27202,c_68]) ).
tcf(c_32493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27202,c_68]) ).
tcf(c_32495,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ( sdtpldt0(X0,sdtpldt0(xm,sK0)) != sdtpldt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_27202,c_77]) ).
tcf(c_32496,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_27202,c_26044]) ).
tcf(c_32497,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_27202,c_26052]) ).
tcf(c_32498,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_15930]) ).
tcf(c_32499,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_15792]) ).
tcf(c_32500,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_24215]) ).
tcf(c_32501,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_24215]) ).
tcf(c_32502,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_15931]) ).
tcf(c_32503,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_24885]) ).
tcf(c_32504,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_15793]) ).
tcf(c_32505,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_27202,c_8652]) ).
tcf(c_32506,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_32488,c_103,c_26991]) ).
tcf(c_32507,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK0)) != sdtpldt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32495,c_103,c_26991]) ).
tcf(c_32511,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32491,c_103,c_26991]) ).
tcf(c_32515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(X0,sdtpldt0(xm,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32490,c_103,c_26991]) ).
tcf(c_32521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32493,c_103,c_26991]) ).
tcf(c_32526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32492,c_103,c_26991]) ).
tcf(c_32531,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32482,c_103,c_26991]) ).
tcf(c_32536,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32505,c_26991]) ).
tcf(c_32541,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32504,c_26991]) ).
tcf(c_32547,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32502,c_26991]) ).
tcf(c_32553,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_32501,c_27202]) ).
tcf(c_32554,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32553,c_26991]) ).
tcf(c_32562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32480,c_103,c_26991]) ).
tcf(c_32570,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32499,c_26991]) ).
tcf(c_32577,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32498,c_26991]) ).
tcf(c_32584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32481,c_103,c_26991]) ).
tcf(c_32599,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_32497,c_27202]) ).
tcf(c_32600,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32599,c_26991]) ).
tcf(c_32606,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_32496,c_27202]) ).
tcf(c_32607,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32606,c_26991]) ).
tcf(c_32846,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_32506,c_109]) ).
tcf(c_32850,plain,
( ( sdtpldt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_32506,c_110]) ).
tcf(c_32851,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_32506,c_73]) ).
tcf(c_32852,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_32851,c_103,c_26991]) ).
tcf(c_32853,plain,
~ sdtlseqdt0(sdtpldt0(xm,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_32850,c_26999,c_103,c_26991]) ).
tcf(c_32854,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32846,c_103,c_26991]) ).
tcf(c_32861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27203,c_70]) ).
tcf(c_32866,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27203,c_5155]) ).
tcf(c_32871,plain,
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27203,c_145]) ).
tcf(c_32873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),X0) ),
inference(superposition,[status(thm)],[c_27203,c_70]) ).
tcf(c_32874,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ( sdtpldt0(sdtpldt0(xm,sK0),X0) != sdtpldt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_27203,c_76]) ).
tcf(c_32875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(sdtpldt0(xm,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27203,c_68]) ).
tcf(c_32876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK0),X0),sdtpldt0(xm,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_27203,c_68]) ).
tcf(c_32878,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_27203,c_77]) ).
tcf(c_32879,plain,
sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_32871,c_103,c_26991]) ).
tcf(c_32880,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32866,c_103,c_26991]) ).
tcf(c_32883,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32878,c_103,c_26991]) ).
tcf(c_32887,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK0),X0) != sdtpldt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32874,c_103,c_26991]) ).
tcf(c_32892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(sdtpldt0(xm,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32875,c_103,c_26991]) ).
tcf(c_32897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32873,c_103,c_26991]) ).
tcf(c_32902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32861,c_103,c_26991]) ).
tcf(c_32912,plain,
( ( sdtpldt0(sdtpldt0(xm,sK0),sK2(sdtpldt0(xm,sK0),sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_32879,c_73]) ).
tcf(c_32913,plain,
sdtpldt0(sdtpldt0(xm,sK0),sK2(sdtpldt0(xm,sK0),sdtpldt0(xm,sK0))) = sdtpldt0(xm,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_32912,c_26991]) ).
tcf(c_32914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK1)),sdtpldt0(xm,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27491,c_70]) ).
tcf(c_32916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_27491,c_17825]) ).
tcf(c_32917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27491,c_17392]) ).
tcf(c_32918,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_27491,c_14477]) ).
tcf(c_32924,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27491,c_145]) ).
tcf(c_32926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(X0,sdtpldt0(xm,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27491,c_70]) ).
tcf(c_32927,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_27491,c_76]) ).
tcf(c_32928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),X0) ),
inference(superposition,[status(thm)],[c_27491,c_68]) ).
tcf(c_32929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27491,c_68]) ).
tcf(c_32931,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ( sdtpldt0(X0,sdtpldt0(xm,sK1)) != sdtpldt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_27491,c_77]) ).
tcf(c_32932,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_27491,c_26044]) ).
tcf(c_32933,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_27491,c_26052]) ).
tcf(c_32934,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_15930]) ).
tcf(c_32935,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_15792]) ).
tcf(c_32936,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_24215]) ).
tcf(c_32937,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_24215]) ).
tcf(c_32938,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_15931]) ).
tcf(c_32939,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_24885]) ).
tcf(c_32940,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_15793]) ).
tcf(c_32941,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_27491,c_8652]) ).
tcf(c_32942,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_32924,c_103,c_27269]) ).
tcf(c_32943,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,sK1)) != sdtpldt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32931,c_103,c_27269]) ).
tcf(c_32947,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32927,c_103,c_27269]) ).
tcf(c_32951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(X0,sdtpldt0(xm,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32926,c_103,c_27269]) ).
tcf(c_32957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32929,c_103,c_27269]) ).
tcf(c_32962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32928,c_103,c_27269]) ).
tcf(c_32967,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32918,c_103,c_27269]) ).
tcf(c_32972,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32941,c_27269]) ).
tcf(c_32977,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32940,c_27269]) ).
tcf(c_32983,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32938,c_27269]) ).
tcf(c_32989,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_32937,c_27491]) ).
tcf(c_32990,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32989,c_27269]) ).
tcf(c_32998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32916,c_103,c_27269]) ).
tcf(c_33006,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32935,c_27269]) ).
tcf(c_33013,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32934,c_27269]) ).
tcf(c_33020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32917,c_103,c_27269]) ).
tcf(c_33035,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_32933,c_27491]) ).
tcf(c_33036,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33035,c_27269]) ).
tcf(c_33042,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_32932,c_27491]) ).
tcf(c_33043,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33042,c_27269]) ).
tcf(c_33124,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_109]) ).
tcf(c_33125,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_11962]) ).
tcf(c_33126,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_8700]) ).
tcf(c_33127,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_3979]) ).
tcf(c_33128,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_110]) ).
tcf(c_33129,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_73]) ).
tcf(c_33130,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_5863]) ).
tcf(c_33131,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24914,c_26045]) ).
tcf(c_33132,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_8679]) ).
tcf(c_33231,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_109]) ).
tcf(c_33232,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_11962]) ).
tcf(c_33233,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_8700]) ).
tcf(c_33234,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_3979]) ).
tcf(c_33235,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_110]) ).
tcf(c_33236,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_73]) ).
tcf(c_33237,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_5863]) ).
tcf(c_33238,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24915,c_26045]) ).
tcf(c_33239,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_8679]) ).
tcf(c_33338,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_109]) ).
tcf(c_33339,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_11962]) ).
tcf(c_33340,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_8700]) ).
tcf(c_33341,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_3979]) ).
tcf(c_33342,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_110]) ).
tcf(c_33343,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_73]) ).
tcf(c_33344,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_5863]) ).
tcf(c_33345,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24916,c_26045]) ).
tcf(c_33346,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_8679]) ).
tcf(c_33445,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_109]) ).
tcf(c_33446,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_11962]) ).
tcf(c_33447,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_8700]) ).
tcf(c_33448,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_3979]) ).
tcf(c_33449,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_110]) ).
tcf(c_33450,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_73]) ).
tcf(c_33451,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_5863]) ).
tcf(c_33452,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24917,c_26045]) ).
tcf(c_33453,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_8679]) ).
tcf(c_33536,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_89]) ).
tcf(c_33538,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_27527]) ).
tcf(c_33539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_18982]) ).
tcf(c_33540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_18291]) ).
tcf(c_33541,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_15630]) ).
tcf(c_33543,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18781,c_91]) ).
tcf(c_33544,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_5229]) ).
tcf(c_33545,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_90]) ).
tcf(c_33548,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_18781,c_87]) ).
tcf(c_33549,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_85]) ).
tcf(c_33550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_87]) ).
tcf(c_33551,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18781,c_92]) ).
tcf(c_33552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_18781,c_89]) ).
tcf(c_33553,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33549,c_21012,c_14661]) ).
tcf(c_33558,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33543,c_14666,c_14661]) ).
tcf(c_33563,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33551,c_14661]) ).
tcf(c_33569,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33541,c_2614,c_14661]) ).
tcf(c_33575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))),sz00)
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33552,c_14661]) ).
tcf(c_33582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33550,c_14666,c_14661]) ).
tcf(c_33588,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33548,c_14666,c_14661]) ).
tcf(c_33594,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33536,c_14661]) ).
tcf(c_33601,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33538,c_2614,c_14661]) ).
tcf(c_33608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33540,c_14666,c_2614,c_14661]) ).
tcf(c_33616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33539,c_2614,c_14661]) ).
tcf(c_33625,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_32942,c_109]) ).
tcf(c_33629,plain,
( ( sdtpldt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_32942,c_110]) ).
tcf(c_33630,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_32942,c_73]) ).
tcf(c_33631,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_33630,c_103,c_27269]) ).
tcf(c_33632,plain,
~ sdtlseqdt0(sdtpldt0(xm,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_33629,c_27277,c_103,c_27269]) ).
tcf(c_33633,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33625,c_103,c_27269]) ).
tcf(c_33678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27492,c_70]) ).
tcf(c_33683,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27492,c_5155]) ).
tcf(c_33688,plain,
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27492,c_145]) ).
tcf(c_33690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),X0) ),
inference(superposition,[status(thm)],[c_27492,c_70]) ).
tcf(c_33691,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ( sdtpldt0(sdtpldt0(xm,sK1),X0) != sdtpldt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_27492,c_76]) ).
tcf(c_33692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(sdtpldt0(xm,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27492,c_68]) ).
tcf(c_33693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,sK1),X0),sdtpldt0(xm,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_27492,c_68]) ).
tcf(c_33695,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_27492,c_77]) ).
tcf(c_33696,plain,
sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_33688,c_103,c_27269]) ).
tcf(c_33697,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33683,c_103,c_27269]) ).
tcf(c_33700,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33695,c_103,c_27269]) ).
tcf(c_33704,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,sK1),X0) != sdtpldt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33691,c_103,c_27269]) ).
tcf(c_33709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(sdtpldt0(xm,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33692,c_103,c_27269]) ).
tcf(c_33714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33690,c_103,c_27269]) ).
tcf(c_33719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33678,c_103,c_27269]) ).
tcf(c_33729,plain,
( ( sdtpldt0(sdtpldt0(xm,sK1),sK2(sdtpldt0(xm,sK1),sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_33696,c_73]) ).
tcf(c_33730,plain,
sdtpldt0(sdtpldt0(xm,sK1),sK2(sdtpldt0(xm,sK1),sdtpldt0(xm,sK1))) = sdtpldt0(xm,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_33729,c_27269]) ).
tcf(c_33731,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28057,c_89]) ).
tcf(c_33734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28057,c_18982]) ).
tcf(c_33736,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28057,c_15630]) ).
tcf(c_33746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_28057,c_92]) ).
tcf(c_33747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28057,c_89]) ).
tcf(c_33748,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33746,c_27916,c_103,c_27911]) ).
tcf(c_33754,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33731,c_27916,c_103,c_27911]) ).
tcf(c_33759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33734,c_27916,c_103,c_2614,c_27911]) ).
tcf(c_33770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28058,c_18291]) ).
tcf(c_33773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_28058,c_91]) ).
tcf(c_33776,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28058,c_142]) ).
tcf(c_33778,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28058,c_87]) ).
tcf(c_33780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28058,c_87]) ).
tcf(c_33783,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_33776,c_103,c_27911]) ).
tcf(c_33784,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33773,c_27916,c_103,c_27911]) ).
tcf(c_33789,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33778,c_27916,c_103,c_27911]) ).
tcf(c_33794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33770,c_27916,c_103,c_2614,c_27911]) ).
tcf(c_33801,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_33783,c_106]) ).
tcf(c_33802,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_33783,c_99]) ).
tcf(c_33803,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK3(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_33783,c_102]) ).
tcf(c_33804,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33802,c_103,c_27911]) ).
tcf(c_33808,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK3(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_33803,c_103,c_27911]) ).
tcf(c_33809,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_33801,c_27916,c_103,c_27911]) ).
tcf(c_33810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xp)),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28256,c_70]) ).
tcf(c_33812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_28256,c_17825]) ).
tcf(c_33813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28256,c_17392]) ).
tcf(c_33814,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_28256,c_14477]) ).
tcf(c_33820,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28256,c_145]) ).
tcf(c_33822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28256,c_70]) ).
tcf(c_33823,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_28256,c_76]) ).
tcf(c_33824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_28256,c_68]) ).
tcf(c_33825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28256,c_68]) ).
tcf(c_33827,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_28256,c_77]) ).
tcf(c_33828,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_26044]) ).
tcf(c_33829,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28256,c_26052]) ).
tcf(c_33830,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_15930]) ).
tcf(c_33831,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_15792]) ).
tcf(c_33832,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_24215]) ).
tcf(c_33833,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_24215]) ).
tcf(c_33834,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_15931]) ).
tcf(c_33835,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_24885]) ).
tcf(c_33836,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_15793]) ).
tcf(c_33837,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_28256,c_8652]) ).
tcf(c_33838,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_33820,c_103,c_28177]) ).
tcf(c_33839,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xp)) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33827,c_103,c_28177]) ).
tcf(c_33843,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33823,c_103,c_28177]) ).
tcf(c_33847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sdtpldt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33822,c_103,c_28177]) ).
tcf(c_33853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33825,c_103,c_28177]) ).
tcf(c_33858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33824,c_103,c_28177]) ).
tcf(c_33863,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33814,c_103,c_28177]) ).
tcf(c_33868,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,xp) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33837,c_28177]) ).
tcf(c_33873,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33836,c_28177]) ).
tcf(c_33879,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33834,c_28177]) ).
tcf(c_33885,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_33833,c_28256]) ).
tcf(c_33886,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33885,c_28177]) ).
tcf(c_33894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33812,c_103,c_28177]) ).
tcf(c_33902,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33831,c_28177]) ).
tcf(c_33909,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33830,c_28177]) ).
tcf(c_33916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33813,c_103,c_28177]) ).
tcf(c_33931,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_33829,c_28256]) ).
tcf(c_33932,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33931,c_28177]) ).
tcf(c_33938,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_33828,c_28256]) ).
tcf(c_33939,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33938,c_28177]) ).
tcf(c_34045,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_109]) ).
tcf(c_34046,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_11962]) ).
tcf(c_34047,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_8700]) ).
tcf(c_34048,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_3979]) ).
tcf(c_34049,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_110]) ).
tcf(c_34050,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_73]) ).
tcf(c_34051,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_5863]) ).
tcf(c_34052,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24918,c_26045]) ).
tcf(c_34053,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_8679]) ).
tcf(c_34163,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_26041]) ).
tcf(c_34164,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_26041]) ).
tcf(c_34165,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_3036,c_26041]) ).
tcf(c_34168,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_26041]) ).
tcf(c_34169,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_26041]) ).
tcf(c_34170,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_26041]) ).
tcf(c_34172,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_26041]) ).
tcf(c_34176,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_26041]) ).
tcf(c_34177,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(X0,sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_26041]) ).
tcf(c_34178,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(X0,sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_26041]) ).
tcf(c_34180,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_26041]) ).
tcf(c_34191,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_26041]) ).
tcf(c_34192,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34172,c_2476]) ).
tcf(c_34193,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34192,c_62]) ).
tcf(c_34201,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34170,c_2474]) ).
tcf(c_34202,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34201,c_55]) ).
tcf(c_34210,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34169,c_2473]) ).
tcf(c_34211,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34210,c_52]) ).
tcf(c_34219,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34168,c_2472]) ).
tcf(c_34220,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34219,c_51]) ).
tcf(c_34228,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34164,c_2465]) ).
tcf(c_34229,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34228,c_103,c_2614]) ).
tcf(c_34236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34163,c_103]) ).
tcf(c_34246,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34180,c_3040]) ).
tcf(c_34247,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34246,c_62]) ).
tcf(c_34256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(X0,sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34178,c_3042]) ).
tcf(c_34257,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(X0,sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34256,c_55]) ).
tcf(c_34266,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(X0,sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34177,c_3043]) ).
tcf(c_34267,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(X0,sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34266,c_52]) ).
tcf(c_34276,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34176,c_3044]) ).
tcf(c_34277,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34276,c_51]) ).
tcf(c_34286,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34165,c_3036]) ).
tcf(c_34287,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34286,c_103,c_2614]) ).
tcf(c_34295,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34191,c_28256]) ).
tcf(c_34296,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34295,c_28177]) ).
tcf(c_34368,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_72,c_26046]) ).
tcf(c_34369,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34368,c_103]) ).
tcf(c_34379,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(global_subsumption_just,[status(thm)],[c_15215,c_8631,c_15215,c_15621]) ).
tcf(c_34388,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34379,c_84]) ).
tcf(c_34408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X1,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_34388,c_109]) ).
tcf(c_34409,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_34388,c_11962]) ).
tcf(c_34410,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_34388,c_8700]) ).
tcf(c_34412,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),xq) ),
inference(superposition,[status(thm)],[c_34388,c_110]) ).
tcf(c_34413,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_34388,c_73]) ).
tcf(c_34415,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X1,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34408,c_62]) ).
tcf(c_34425,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34409,c_62]) ).
tcf(c_34435,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34413,c_62]) ).
tcf(c_34443,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34412,c_62]) ).
tcf(c_34452,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34410,c_62]) ).
tcf(c_34468,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15927,c_84]) ).
tcf(c_34484,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_109]) ).
tcf(c_34485,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_11962]) ).
tcf(c_34486,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_34468,c_8700]) ).
tcf(c_34487,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_3979]) ).
tcf(c_34488,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_34468,c_110]) ).
tcf(c_34489,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))) = sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_73]) ).
tcf(c_34490,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_12182]) ).
tcf(c_34491,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_34468,c_8702]) ).
tcf(c_34492,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_5910]) ).
tcf(c_34625,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)))
| ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_89]) ).
tcf(c_34627,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_27527]) ).
tcf(c_34628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_18982]) ).
tcf(c_34629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_18291]) ).
tcf(c_34630,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_15630]) ).
tcf(c_34632,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19635,c_91]) ).
tcf(c_34633,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_5229]) ).
tcf(c_34634,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_90]) ).
tcf(c_34637,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sdtpldt0(xl,xn) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xn),sz00),X0) ),
inference(superposition,[status(thm)],[c_19635,c_87]) ).
tcf(c_34638,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_85]) ).
tcf(c_34639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sdtpldt0(xl,xn) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_87]) ).
tcf(c_34640,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_19635,c_92]) ).
tcf(c_34641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(superposition,[status(thm)],[c_19635,c_89]) ).
tcf(c_34642,plain,
( ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34638,c_21601,c_14856]) ).
tcf(c_34647,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34632,c_14864,c_14856]) ).
tcf(c_34652,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34640,c_14856]) ).
tcf(c_34658,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34630,c_2614,c_14856]) ).
tcf(c_34664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34641,c_14856]) ).
tcf(c_34671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34639,c_14864,c_14856]) ).
tcf(c_34677,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xn),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34637,c_14864,c_14856]) ).
tcf(c_34683,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)))
| ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34625,c_14856]) ).
tcf(c_34690,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34627,c_2614,c_14856]) ).
tcf(c_34697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34629,c_14864,c_2614,c_14856]) ).
tcf(c_34705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xn),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ( sK3(sdtpldt0(xl,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34628,c_2614,c_14856]) ).
tcf(c_34747,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_33838,c_109]) ).
tcf(c_34751,plain,
( ( sdtpldt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_33838,c_110]) ).
tcf(c_34752,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_33838,c_73]) ).
tcf(c_34753,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_34752,c_103,c_28177]) ).
tcf(c_34754,plain,
~ sdtlseqdt0(sdtpldt0(xm,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_34751,c_28183,c_103,c_28177]) ).
tcf(c_34755,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34747,c_103,c_28177]) ).
tcf(c_34762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28257,c_70]) ).
tcf(c_34767,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28257,c_5155]) ).
tcf(c_34772,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28257,c_145]) ).
tcf(c_34774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_28257,c_70]) ).
tcf(c_34775,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_28257,c_76]) ).
tcf(c_34776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28257,c_68]) ).
tcf(c_34777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28257,c_68]) ).
tcf(c_34779,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_28257,c_77]) ).
tcf(c_34780,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_34772,c_103,c_28177]) ).
tcf(c_34781,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34767,c_103,c_28177]) ).
tcf(c_34784,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34779,c_103,c_28177]) ).
tcf(c_34788,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34775,c_103,c_28177]) ).
tcf(c_34793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34776,c_103,c_28177]) ).
tcf(c_34798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34774,c_103,c_28177]) ).
tcf(c_34803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34762,c_103,c_28177]) ).
tcf(c_34813,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_34780,c_73]) ).
tcf(c_34814,plain,
sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),sdtpldt0(xm,xp))) = sdtpldt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_34813,c_28177]) ).
tcf(c_34815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xq)),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29587,c_70]) ).
tcf(c_34817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_29587,c_17825]) ).
tcf(c_34818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29587,c_17392]) ).
tcf(c_34819,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_29587,c_14477]) ).
tcf(c_34825,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29587,c_145]) ).
tcf(c_34827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29587,c_70]) ).
tcf(c_34828,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_29587,c_76]) ).
tcf(c_34829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_29587,c_68]) ).
tcf(c_34830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29587,c_68]) ).
tcf(c_34832,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(X0,sdtpldt0(xm,xq)) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_29587,c_77]) ).
tcf(c_34833,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29587,c_26041]) ).
tcf(c_34834,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29587,c_26044]) ).
tcf(c_34835,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29587,c_26052]) ).
tcf(c_34836,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_15930]) ).
tcf(c_34838,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_24215]) ).
tcf(c_34839,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xm,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_24215]) ).
tcf(c_34840,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_15931]) ).
tcf(c_34841,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_24885]) ).
tcf(c_34842,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_15793]) ).
tcf(c_34843,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_29587,c_8652]) ).
tcf(c_34844,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_34825,c_103,c_29400]) ).
tcf(c_34845,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xq)) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34832,c_103,c_29400]) ).
tcf(c_34849,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34828,c_103,c_29400]) ).
tcf(c_34853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sdtpldt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34827,c_103,c_29400]) ).
tcf(c_34859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34830,c_103,c_29400]) ).
tcf(c_34864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34829,c_103,c_29400]) ).
tcf(c_34869,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34819,c_103,c_29400]) ).
tcf(c_34874,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xm,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34843,c_29400]) ).
tcf(c_34879,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34842,c_29400]) ).
tcf(c_34885,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34840,c_29400]) ).
tcf(c_34891,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34839,c_29587]) ).
tcf(c_34892,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34891,c_29400]) ).
tcf(c_34900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34817,c_103,c_29400]) ).
tcf(c_34908,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34836,c_29400]) ).
tcf(c_34915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34818,c_103,c_29400]) ).
tcf(c_34930,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34835,c_29587]) ).
tcf(c_34931,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34930,c_29400]) ).
tcf(c_34937,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34834,c_29587]) ).
tcf(c_34938,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34937,c_29400]) ).
tcf(c_34945,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_34833,c_29587]) ).
tcf(c_34946,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34945,c_29400]) ).
tcf(c_34997,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_34844,c_109]) ).
tcf(c_35001,plain,
( ( sdtpldt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_34844,c_110]) ).
tcf(c_35002,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_34844,c_73]) ).
tcf(c_35003,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_35002,c_103,c_29400]) ).
tcf(c_35004,plain,
~ sdtlseqdt0(sdtpldt0(xm,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_35001,c_29405,c_103,c_29400]) ).
tcf(c_35005,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34997,c_103,c_29400]) ).
tcf(c_35045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29588,c_70]) ).
tcf(c_35055,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29588,c_145]) ).
tcf(c_35057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_29588,c_70]) ).
tcf(c_35058,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_29588,c_76]) ).
tcf(c_35059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29588,c_68]) ).
tcf(c_35060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29588,c_68]) ).
tcf(c_35062,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_29588,c_77]) ).
tcf(c_35063,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_35055,c_103,c_29400]) ).
tcf(c_35064,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35062,c_103,c_29400]) ).
tcf(c_35068,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35058,c_103,c_29400]) ).
tcf(c_35073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35059,c_103,c_29400]) ).
tcf(c_35078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35057,c_103,c_29400]) ).
tcf(c_35083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xq))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35045,c_103,c_29400]) ).
tcf(c_35088,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_34486,c_8631,c_34486]) ).
tcf(c_35089,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(renaming,[status(thm)],[c_35088]) ).
tcf(c_35107,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_108,c_35089]) ).
tcf(c_35108,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35107,c_103]) ).
tcf(c_35117,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_34491,c_8631,c_34491]) ).
tcf(c_35118,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(renaming,[status(thm)],[c_35117]) ).
tcf(c_35136,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_108,c_35118]) ).
tcf(c_35137,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35136,c_103]) ).
tcf(c_35146,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24938,c_8631,c_24938]) ).
tcf(c_35165,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_35146]) ).
tcf(c_35166,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_35146]) ).
tcf(c_35169,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_35146]) ).
tcf(c_35170,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_35146]) ).
tcf(c_35171,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_35146]) ).
tcf(c_35173,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_35146]) ).
tcf(c_35175,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_35146]) ).
tcf(c_35176,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_35146]) ).
tcf(c_35177,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_35146]) ).
tcf(c_35178,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_35146]) ).
tcf(c_35179,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_35146]) ).
tcf(c_35180,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_35146]) ).
tcf(c_35181,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_35146]) ).
tcf(c_35182,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3894,c_35146]) ).
tcf(c_35194,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_109]) ).
tcf(c_35198,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_110]) ).
tcf(c_35199,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_73]) ).
tcf(c_35200,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_26045]) ).
tcf(c_35201,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_8679]) ).
tcf(c_35202,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_109]) ).
tcf(c_35203,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_11962]) ).
tcf(c_35204,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_8700]) ).
tcf(c_35205,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_3979]) ).
tcf(c_35206,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_35146,c_110]) ).
tcf(c_35207,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_73]) ).
tcf(c_35208,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_5863]) ).
tcf(c_35209,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_35146,c_20184]) ).
tcf(c_35210,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35173,c_62]) ).
tcf(c_35217,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35171,c_55]) ).
tcf(c_35225,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35170,c_52]) ).
tcf(c_35233,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35169,c_51]) ).
tcf(c_35315,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35194,c_59]) ).
tcf(c_35326,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_35201,c_2475]) ).
tcf(c_35327,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35326,c_59]) ).
tcf(c_35337,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35199,c_59]) ).
tcf(c_35346,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35198,c_59]) ).
tcf(c_35375,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_35200,c_2475]) ).
tcf(c_35512,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_80]) ).
tcf(c_35524,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_81]) ).
tcf(c_35528,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_59,c_81]) ).
tcf(c_35536,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_93]) ).
tcf(c_35540,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_59,c_93]) ).
tcf(c_35859,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_35524,c_145]) ).
tcf(c_35865,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_35859,c_103,c_50]) ).
tcf(c_35883,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_108,c_66]) ).
tcf(c_35887,plain,
sdtlseqdt0(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_35883,c_62,c_59]) ).
tcf(c_36064,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK2(X0,X1)) = sK2(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_81]) ).
tcf(c_36130,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_83]) ).
tcf(c_36316,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_36130]) ).
tcf(c_36451,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_35528,c_145]) ).
tcf(c_36453,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_36451,c_59,c_103]) ).
tcf(c_36621,plain,
( ( sdtpldt0(xq,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_35887,c_73]) ).
tcf(c_36632,plain,
sdtpldt0(xq,sK2(xq,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_36621,c_62,c_59]) ).
tcf(c_36680,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_36632,c_74]) ).
tcf(c_36683,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36680,c_62]) ).
tcf(c_36691,plain,
sz00 != xp,
inference(global_subsumption_just,[status(thm)],[c_36683,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313]) ).
tcf(c_36704,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_35536,c_142]) ).
tcf(c_36707,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_36704,c_103,c_50]) ).
tcf(c_36884,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_35865,c_110]) ).
tcf(c_36888,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_36453,c_110]) ).
tcf(c_36898,plain,
~ sdtlseqdt0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_36888,c_36691,c_59,c_103]) ).
tcf(c_36908,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36884,c_103,c_50]) ).
tcf(c_37574,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_35512,c_76]) ).
tcf(c_37644,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37574,c_103,c_50]) ).
tcf(c_39205,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_15944,c_8631,c_15944]) ).
tcf(c_39217,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_109]) ).
tcf(c_39218,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_11962]) ).
tcf(c_39220,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_3979]) ).
tcf(c_39221,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39205,c_110]) ).
tcf(c_39222,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_73]) ).
tcf(c_39223,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_12182]) ).
tcf(c_39224,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_39205,c_8702]) ).
tcf(c_39225,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_5910]) ).
tcf(c_39353,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) ) ),
inference(global_subsumption_just,[status(thm)],[c_39224,c_8631,c_30824]) ).
tcf(c_39354,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_39353]) ).
tcf(c_39369,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_39354]) ).
tcf(c_39370,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39369,c_103]) ).
tcf(c_39377,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_89]) ).
tcf(c_39379,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_27527]) ).
tcf(c_39380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_18982]) ).
tcf(c_39381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_18291]) ).
tcf(c_39382,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_15630]) ).
tcf(c_39384,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19640,c_91]) ).
tcf(c_39385,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_5229]) ).
tcf(c_39386,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_90]) ).
tcf(c_39389,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_19640,c_87]) ).
tcf(c_39390,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_85]) ).
tcf(c_39391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_87]) ).
tcf(c_39392,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19640,c_92]) ).
tcf(c_39393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_19640,c_89]) ).
tcf(c_39394,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39390,c_21601,c_14856]) ).
tcf(c_39399,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39384,c_14864,c_14856]) ).
tcf(c_39404,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39392,c_14856]) ).
tcf(c_39410,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39382,c_2614,c_14856]) ).
tcf(c_39416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))),sz00)
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39393,c_14856]) ).
tcf(c_39423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39391,c_14864,c_14856]) ).
tcf(c_39429,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39389,c_14864,c_14856]) ).
tcf(c_39435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39377,c_14856]) ).
tcf(c_39442,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39379,c_2614,c_14856]) ).
tcf(c_39449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39381,c_14864,c_2614,c_14856]) ).
tcf(c_39457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39380,c_2614,c_14856]) ).
tcf(c_39657,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK2(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_35063,c_73]) ).
tcf(c_39658,plain,
sdtpldt0(sdtpldt0(xm,xq),sK2(sdtpldt0(xm,xq),sdtpldt0(xm,xq))) = sdtpldt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_39657,c_29400]) ).
tcf(c_39659,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30331,c_89]) ).
tcf(c_39662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30331,c_18982]) ).
tcf(c_39664,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30331,c_15630]) ).
tcf(c_39674,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30331,c_92]) ).
tcf(c_39675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30331,c_89]) ).
tcf(c_39676,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39674,c_30210,c_103,c_30205]) ).
tcf(c_39682,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39659,c_30210,c_103,c_30205]) ).
tcf(c_39687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39662,c_30210,c_103,c_2614,c_30205]) ).
tcf(c_39698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30332,c_18291]) ).
tcf(c_39701,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30332,c_91]) ).
tcf(c_39704,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30332,c_142]) ).
tcf(c_39706,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30332,c_87]) ).
tcf(c_39708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30332,c_87]) ).
tcf(c_39711,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_39704,c_103,c_30205]) ).
tcf(c_39712,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39701,c_30210,c_103,c_30205]) ).
tcf(c_39717,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39706,c_30210,c_103,c_30205]) ).
tcf(c_39722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39698,c_30210,c_103,c_2614,c_30205]) ).
tcf(c_39729,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39711,c_106]) ).
tcf(c_39730,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39711,c_99]) ).
tcf(c_39731,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK3(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_39711,c_102]) ).
tcf(c_39732,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39730,c_103,c_30205]) ).
tcf(c_39736,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK3(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39731,c_103,c_30205]) ).
tcf(c_39737,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_39729,c_30210,c_103,c_30205]) ).
tcf(c_39742,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_32880,c_109]) ).
tcf(c_39746,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(xp,sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_32880,c_110]) ).
tcf(c_39747,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(sdtpldt0(xm,sK0),sK2(sdtpldt0(xm,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_32880,c_73]) ).
tcf(c_39748,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(sdtpldt0(xm,sK0),sK2(sdtpldt0(xm,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39747,c_59,c_26991]) ).
tcf(c_39751,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39746,c_59,c_26991]) ).
tcf(c_39755,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39742,c_59,c_26991]) ).
tcf(c_39764,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_33697,c_109]) ).
tcf(c_39768,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(xp,sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_33697,c_110]) ).
tcf(c_39769,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(sdtpldt0(xm,sK1),sK2(sdtpldt0(xm,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_33697,c_73]) ).
tcf(c_39770,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(sdtpldt0(xm,sK1),sK2(sdtpldt0(xm,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39769,c_59,c_27269]) ).
tcf(c_39773,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39768,c_59,c_27269]) ).
tcf(c_39777,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39764,c_59,c_27269]) ).
tcf(c_39786,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_34781,c_109]) ).
tcf(c_39791,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_34781,c_73]) ).
tcf(c_39792,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39791,c_59,c_28177]) ).
tcf(c_39795,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39786,c_59,c_28177]) ).
tcf(c_39899,plain,
sdtpldt0(xn,sK0) = sdtpldt0(sK0,xn),
inference(superposition,[status(thm)],[c_52,c_2701]) ).
tcf(c_39900,plain,
sdtpldt0(xn,sK1) = sdtpldt0(sK1,xn),
inference(superposition,[status(thm)],[c_55,c_2701]) ).
tcf(c_39901,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_59,c_2701]) ).
tcf(c_39902,plain,
sdtpldt0(xn,xq) = sdtpldt0(xq,xn),
inference(superposition,[status(thm)],[c_62,c_2701]) ).
tcf(c_39903,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2701]) ).
tcf(c_39904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),xn) = sdtpldt0(xn,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2701]) ).
tcf(c_39905,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2701]) ).
tcf(c_39906,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xn) = sdtpldt0(xn,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2701]) ).
tcf(c_39907,plain,
sdtpldt0(xn,sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_103,c_2701]) ).
tcf(c_39908,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_105,c_2701]) ).
tcf(c_39909,plain,
sdtpldt0(sdtasdt0(xl,xq),xn) = sdtpldt0(xn,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2701]) ).
tcf(c_39910,plain,
sdtpldt0(sdtpldt0(xl,xm),xn) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2701]) ).
tcf(c_39911,plain,
sdtpldt0(sdtpldt0(xl,xn),xn) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2701]) ).
tcf(c_39912,plain,
sdtpldt0(sdtpldt0(xl,sK0),xn) = sdtpldt0(xn,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2701]) ).
tcf(c_39913,plain,
sdtpldt0(sdtpldt0(xl,sK1),xn) = sdtpldt0(xn,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2701]) ).
tcf(c_39914,plain,
sdtpldt0(sdtpldt0(xl,xp),xn) = sdtpldt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2701]) ).
tcf(c_39915,plain,
sdtpldt0(sdtpldt0(xl,xq),xn) = sdtpldt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2701]) ).
tcf(c_39916,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2701]) ).
tcf(c_39917,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2701]) ).
tcf(c_39918,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2701]) ).
tcf(c_39919,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2701]) ).
tcf(c_39920,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2701]) ).
tcf(c_39921,plain,
sdtpldt0(sdtpldt0(xm,sK0),xn) = sdtpldt0(xn,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2701]) ).
tcf(c_39922,plain,
sdtpldt0(sdtpldt0(xm,sK1),xn) = sdtpldt0(xn,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2701]) ).
tcf(c_39923,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2701]) ).
tcf(c_39924,plain,
sdtpldt0(sdtpldt0(xm,xp),xn) = sdtpldt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2701]) ).
tcf(c_39925,plain,
sdtpldt0(sdtpldt0(xm,xq),xn) = sdtpldt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2701]) ).
tcf(c_39926,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2701]) ).
tcf(c_40017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(global_subsumption_just,[status(thm)],[c_15212,c_8631,c_23128]) ).
tcf(c_40027,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK2(sz00,sK2(xq,xp))))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40017,c_84]) ).
tcf(c_40050,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_109]) ).
tcf(c_40053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_3979]) ).
tcf(c_40054,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),X1) ),
inference(superposition,[status(thm)],[c_40027,c_110]) ).
tcf(c_40055,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_73]) ).
tcf(c_40056,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_3965]) ).
tcf(c_40057,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_40027,c_28380]) ).
tcf(c_40058,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_12182]) ).
tcf(c_40059,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_40027,c_8702]) ).
tcf(c_40060,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_5910]) ).
tcf(c_40061,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_10288]) ).
tcf(c_40062,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_40027,c_26045]) ).
tcf(c_40063,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_40027,c_8679]) ).
tcf(c_40073,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40057,c_62,c_59]) ).
tcf(c_40091,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40056,c_59]) ).
tcf(c_40126,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40061,c_62]) ).
tcf(c_40181,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15928,c_97]) ).
tcf(c_40200,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_109]) ).
tcf(c_40201,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_11962]) ).
tcf(c_40202,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_40181,c_8700]) ).
tcf(c_40203,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_3979]) ).
tcf(c_40204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_40181,c_110]) ).
tcf(c_40205,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))) = sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_73]) ).
tcf(c_40206,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_12182]) ).
tcf(c_40207,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_40181,c_8702]) ).
tcf(c_40208,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_5910]) ).
tcf(c_40381,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_40202,c_8631,c_40202]) ).
tcf(c_40382,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(renaming,[status(thm)],[c_40381]) ).
tcf(c_40401,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_108,c_40382]) ).
tcf(c_40402,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40401,c_103]) ).
tcf(c_40411,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_40207,c_8631,c_40207]) ).
tcf(c_40412,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(renaming,[status(thm)],[c_40411]) ).
tcf(c_40431,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_108,c_40412]) ).
tcf(c_40432,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40431,c_103]) ).
tcf(c_40455,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24919,c_109]) ).
tcf(c_40456,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_11962]) ).
tcf(c_40457,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_8700]) ).
tcf(c_40458,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_3979]) ).
tcf(c_40459,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24919,c_110]) ).
tcf(c_40460,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_73]) ).
tcf(c_40461,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_5863]) ).
tcf(c_40462,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_26045]) ).
tcf(c_40463,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_8679]) ).
tcf(c_40546,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)))
| ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_89]) ).
tcf(c_40548,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_27527]) ).
tcf(c_40549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_18982]) ).
tcf(c_40550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_18291]) ).
tcf(c_40551,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_15630]) ).
tcf(c_40553,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ( sdtasdt0(sdtpldt0(xl,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19732,c_91]) ).
tcf(c_40554,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_5229]) ).
tcf(c_40555,plain,
( ( sdtpldt0(xl,sK0) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_90]) ).
tcf(c_40558,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK0),X0))
| ( sdtpldt0(xl,sK0) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sK0),sz00),X0) ),
inference(superposition,[status(thm)],[c_19732,c_87]) ).
tcf(c_40559,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sz00)
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_85]) ).
tcf(c_40560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sz00)
| ( sdtpldt0(xl,sK0) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_87]) ).
tcf(c_40561,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_19732,c_92]) ).
tcf(c_40562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)),sz00)
| ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(superposition,[status(thm)],[c_19732,c_89]) ).
tcf(c_40563,plain,
( ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40559,c_22117,c_16168]) ).
tcf(c_40568,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ( sdtasdt0(sdtpldt0(xl,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40553,c_16176,c_16168]) ).
tcf(c_40573,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40561,c_16168]) ).
tcf(c_40579,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40551,c_2614,c_16168]) ).
tcf(c_40585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)),sz00)
| ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40562,c_16168]) ).
tcf(c_40592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sz00)
| ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40560,c_16176,c_16168]) ).
tcf(c_40598,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK0),X0))
| ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sK0),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40558,c_16176,c_16168]) ).
tcf(c_40604,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)))
| ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40546,c_16168]) ).
tcf(c_40611,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40548,c_2614,c_16168]) ).
tcf(c_40618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40550,c_16176,c_2614,c_16168]) ).
tcf(c_40626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK0),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ( sK3(sdtpldt0(xl,sK0),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK0),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40549,c_2614,c_16168]) ).
tcf(c_40666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_39899,c_70]) ).
tcf(c_40667,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_39899,c_24035]) ).
tcf(c_40668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_39899,c_17825]) ).
tcf(c_40669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_39899,c_17392]) ).
tcf(c_40670,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_39899,c_14477]) ).
tcf(c_40671,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39899,c_5155]) ).
tcf(c_40674,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_39899,c_75]) ).
tcf(c_40675,plain,
( ( sK0 = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_39899,c_74]) ).
tcf(c_40676,plain,
( sdtlseqdt0(sK0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39899,c_145]) ).
tcf(c_40677,plain,
( aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39899,c_84]) ).
tcf(c_40678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(X0,xn))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_39899,c_70]) ).
tcf(c_40679,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_39899,c_76]) ).
tcf(c_40680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(sK0,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_39899,c_68]) ).
tcf(c_40681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xn,sK0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_39899,c_68]) ).
tcf(c_40682,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_39899,c_98]) ).
tcf(c_40683,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_39899,c_77]) ).
tcf(c_40684,plain,
aNaturalNumber0(sdtpldt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_40677,c_52,c_51]) ).
tcf(c_40685,plain,
sdtlseqdt0(sK0,sdtpldt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_40676,c_52,c_51]) ).
tcf(c_40686,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40671,c_52,c_51]) ).
tcf(c_40689,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(xn,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40675,c_52,c_51]) ).
tcf(c_40692,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40674,c_52,c_51]) ).
tcf(c_40695,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40683,c_52,c_51]) ).
tcf(c_40699,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40682,c_52,c_51]) ).
tcf(c_40704,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40679,c_52,c_51]) ).
tcf(c_40708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xn,sK0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40681,c_52,c_51]) ).
tcf(c_40713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(sK0,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40680,c_52,c_51]) ).
tcf(c_40718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(X0,xn))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40678,c_52,c_51]) ).
tcf(c_40723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40666,c_52,c_51]) ).
tcf(c_40728,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40670,c_52,c_51]) ).
tcf(c_40733,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40667,c_52,c_51]) ).
tcf(c_40739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40669,c_52,c_51]) ).
tcf(c_40747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40668,c_52,c_51]) ).
tcf(c_41275,plain,
sdtpldt0(sdtpldt0(xn,sK0),xn) = sdtpldt0(xn,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2701]) ).
tcf(c_41276,plain,
sdtpldt0(sdtpldt0(xn,sK0),xm) = sdtpldt0(xm,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2700]) ).
tcf(c_41277,plain,
sdtpldt0(sdtpldt0(xn,sK0),xl) = sdtpldt0(xl,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2699]) ).
tcf(c_41278,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sK0)),sdtasdt0(X0,sdtpldt0(xn,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40684,c_79]) ).
tcf(c_41279,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK0),X1),sdtasdt0(sdtpldt0(xn,sK0),X0)) = sdtasdt0(sdtpldt0(xn,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40684,c_78]) ).
tcf(c_41280,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK0),X1),X0) = sdtasdt0(sdtpldt0(xn,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40684,c_95]) ).
tcf(c_41281,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK0),X1),X0) = sdtpldt0(sdtpldt0(xn,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40684,c_82]) ).
tcf(c_41282,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK0),X0),sdtpldt0(xn,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40684,c_152]) ).
tcf(c_41283,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK0),X0) = sdtasdt0(X0,sdtpldt0(xn,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40684,c_96]) ).
tcf(c_41284,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK0),X0) = sdtpldt0(X0,sdtpldt0(xn,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40684,c_83]) ).
tcf(c_41285,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK0)) = sz00,
inference(superposition,[status(thm)],[c_40684,c_94]) ).
tcf(c_41286,plain,
sdtasdt0(sdtpldt0(xn,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_40684,c_93]) ).
tcf(c_41287,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK0)) = sdtpldt0(xn,sK0),
inference(superposition,[status(thm)],[c_40684,c_81]) ).
tcf(c_41288,plain,
sdtpldt0(sdtpldt0(xn,sK0),sz00) = sdtpldt0(xn,sK0),
inference(superposition,[status(thm)],[c_40684,c_80]) ).
tcf(c_41315,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_40685,c_109]) ).
tcf(c_41316,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_40685,c_11962]) ).
tcf(c_41317,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_40685,c_8700]) ).
tcf(c_41319,plain,
( ( sdtpldt0(xn,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sK0) ),
inference(superposition,[status(thm)],[c_40685,c_110]) ).
tcf(c_41320,plain,
( ( sdtpldt0(sK0,sK2(sK0,sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_40685,c_73]) ).
tcf(c_41321,plain,
sdtpldt0(sK0,sK2(sK0,sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_41320,c_52,c_40684]) ).
tcf(c_41322,plain,
( ( sdtpldt0(xn,sK0) = sK0 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41319,c_52,c_40684]) ).
tcf(c_41325,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41315,c_52,c_40684]) ).
tcf(c_41329,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41316,c_52,c_40684]) ).
tcf(c_41344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_39900,c_70]) ).
tcf(c_41345,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_39900,c_24035]) ).
tcf(c_41346,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_39900,c_17825]) ).
tcf(c_41347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_39900,c_17392]) ).
tcf(c_41348,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_39900,c_14477]) ).
tcf(c_41349,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39900,c_5155]) ).
tcf(c_41352,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_39900,c_75]) ).
tcf(c_41353,plain,
( ( sK1 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_39900,c_74]) ).
tcf(c_41354,plain,
( sdtlseqdt0(sK1,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39900,c_145]) ).
tcf(c_41355,plain,
( aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39900,c_84]) ).
tcf(c_41356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(X0,xn))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_39900,c_70]) ).
tcf(c_41357,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_39900,c_76]) ).
tcf(c_41358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(sK1,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_39900,c_68]) ).
tcf(c_41359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xn,sK1))
| ( X0 = xn )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_39900,c_68]) ).
tcf(c_41360,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_39900,c_98]) ).
tcf(c_41361,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_39900,c_77]) ).
tcf(c_41362,plain,
aNaturalNumber0(sdtpldt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_41355,c_55,c_51]) ).
tcf(c_41363,plain,
sdtlseqdt0(sK1,sdtpldt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_41354,c_55,c_51]) ).
tcf(c_41364,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41349,c_55,c_51]) ).
tcf(c_41367,plain,
( ( sK1 = sz00 )
| ( sdtpldt0(xn,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41353,c_55,c_51]) ).
tcf(c_41370,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41352,c_55,c_51]) ).
tcf(c_41373,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41361,c_55,c_51]) ).
tcf(c_41377,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41360,c_55,c_51]) ).
tcf(c_41382,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41357,c_55,c_51]) ).
tcf(c_41386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xn,sK1))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41359,c_55,c_51]) ).
tcf(c_41391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(sK1,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41358,c_55,c_51]) ).
tcf(c_41396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(X0,xn))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41356,c_55,c_51]) ).
tcf(c_41401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41344,c_55,c_51]) ).
tcf(c_41406,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41348,c_55,c_51]) ).
tcf(c_41411,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41345,c_55,c_51]) ).
tcf(c_41417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41347,c_55,c_51]) ).
tcf(c_41425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41346,c_55,c_51]) ).
tcf(c_41496,plain,
sdtpldt0(sdtpldt0(xn,sK1),xn) = sdtpldt0(xn,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2701]) ).
tcf(c_41497,plain,
sdtpldt0(sdtpldt0(xn,sK1),xm) = sdtpldt0(xm,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2700]) ).
tcf(c_41498,plain,
sdtpldt0(sdtpldt0(xn,sK1),xl) = sdtpldt0(xl,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2699]) ).
tcf(c_41499,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sK1)),sdtasdt0(X0,sdtpldt0(xn,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41362,c_79]) ).
tcf(c_41500,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sK1),X1),sdtasdt0(sdtpldt0(xn,sK1),X0)) = sdtasdt0(sdtpldt0(xn,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41362,c_78]) ).
tcf(c_41501,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sK1),X1),X0) = sdtasdt0(sdtpldt0(xn,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41362,c_95]) ).
tcf(c_41502,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sK1),X1),X0) = sdtpldt0(sdtpldt0(xn,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41362,c_82]) ).
tcf(c_41503,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sK1),X0),sdtpldt0(xn,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41362,c_152]) ).
tcf(c_41504,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sK1),X0) = sdtasdt0(X0,sdtpldt0(xn,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41362,c_96]) ).
tcf(c_41505,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sK1),X0) = sdtpldt0(X0,sdtpldt0(xn,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41362,c_83]) ).
tcf(c_41506,plain,
sdtasdt0(sz00,sdtpldt0(xn,sK1)) = sz00,
inference(superposition,[status(thm)],[c_41362,c_94]) ).
tcf(c_41507,plain,
sdtasdt0(sdtpldt0(xn,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_41362,c_93]) ).
tcf(c_41508,plain,
sdtpldt0(sz00,sdtpldt0(xn,sK1)) = sdtpldt0(xn,sK1),
inference(superposition,[status(thm)],[c_41362,c_81]) ).
tcf(c_41509,plain,
sdtpldt0(sdtpldt0(xn,sK1),sz00) = sdtpldt0(xn,sK1),
inference(superposition,[status(thm)],[c_41362,c_80]) ).
tcf(c_41536,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41363,c_109]) ).
tcf(c_41537,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41363,c_11962]) ).
tcf(c_41538,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_41363,c_8700]) ).
tcf(c_41540,plain,
( ( sdtpldt0(xn,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sK1) ),
inference(superposition,[status(thm)],[c_41363,c_110]) ).
tcf(c_41541,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41363,c_73]) ).
tcf(c_41542,plain,
sdtpldt0(sK1,sK2(sK1,sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_41541,c_55,c_41362]) ).
tcf(c_41543,plain,
( ( sdtpldt0(xn,sK1) = sK1 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41540,c_55,c_41362]) ).
tcf(c_41546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41536,c_55,c_41362]) ).
tcf(c_41550,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41537,c_55,c_41362]) ).
tcf(c_41557,plain,
( ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != xq ) ),
inference(superposition,[status(thm)],[c_39901,c_65]) ).
tcf(c_41558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_39901,c_70]) ).
tcf(c_41560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_39901,c_17825]) ).
tcf(c_41561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_39901,c_17392]) ).
tcf(c_41562,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_39901,c_14477]) ).
tcf(c_41566,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_39901,c_75]) ).
tcf(c_41567,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_39901,c_74]) ).
tcf(c_41568,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39901,c_145]) ).
tcf(c_41569,plain,
( aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39901,c_84]) ).
tcf(c_41570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_39901,c_70]) ).
tcf(c_41571,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_39901,c_76]) ).
tcf(c_41572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_39901,c_68]) ).
tcf(c_41573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_39901,c_68]) ).
tcf(c_41574,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_39901,c_98]) ).
tcf(c_41575,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_39901,c_77]) ).
tcf(c_41576,plain,
aNaturalNumber0(sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_41569,c_59,c_51]) ).
tcf(c_41577,plain,
sdtpldt0(xn,xp) != xq,
inference(forward_subsumption_resolution,[status(thm)],[c_41557,c_51]) ).
tcf(c_41578,plain,
sdtlseqdt0(xp,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_41568,c_59,c_51]) ).
tcf(c_41579,plain,
( ( sz00 = xp )
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41567,c_59,c_51]) ).
tcf(c_41582,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41566,c_59,c_51]) ).
tcf(c_41585,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41575,c_59,c_51]) ).
tcf(c_41589,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41574,c_59,c_51]) ).
tcf(c_41594,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41571,c_59,c_51]) ).
tcf(c_41598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41573,c_59,c_51]) ).
tcf(c_41603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41572,c_59,c_51]) ).
tcf(c_41608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41570,c_59,c_51]) ).
tcf(c_41613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41558,c_59,c_51]) ).
tcf(c_41618,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41562,c_59,c_51]) ).
tcf(c_41623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41561,c_59,c_51]) ).
tcf(c_41631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41560,c_59,c_51]) ).
tcf(c_41647,plain,
sdtpldt0(sdtpldt0(xn,xp),xn) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2701]) ).
tcf(c_41648,plain,
sdtpldt0(sdtpldt0(xn,xp),xm) = sdtpldt0(xm,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2700]) ).
tcf(c_41649,plain,
sdtpldt0(sdtpldt0(xn,xp),xl) = sdtpldt0(xl,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2699]) ).
tcf(c_41650,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xp)),sdtasdt0(X0,sdtpldt0(xn,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41576,c_79]) ).
tcf(c_41651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xp),X1),sdtasdt0(sdtpldt0(xn,xp),X0)) = sdtasdt0(sdtpldt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41576,c_78]) ).
tcf(c_41652,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xp),X1),X0) = sdtasdt0(sdtpldt0(xn,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41576,c_95]) ).
tcf(c_41653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),X1),X0) = sdtpldt0(sdtpldt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41576,c_82]) ).
tcf(c_41654,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41576,c_152]) ).
tcf(c_41655,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xp),X0) = sdtasdt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41576,c_96]) ).
tcf(c_41656,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xp),X0) = sdtpldt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41576,c_83]) ).
tcf(c_41657,plain,
sdtasdt0(sz00,sdtpldt0(xn,xp)) = sz00,
inference(superposition,[status(thm)],[c_41576,c_94]) ).
tcf(c_41658,plain,
sdtasdt0(sdtpldt0(xn,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_41576,c_93]) ).
tcf(c_41659,plain,
sdtpldt0(sz00,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_41576,c_81]) ).
tcf(c_41660,plain,
sdtpldt0(sdtpldt0(xn,xp),sz00) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_41576,c_80]) ).
tcf(c_41839,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24935,c_8631,c_24935]) ).
tcf(c_41840,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_41839]) ).
tcf(c_41861,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_41840]) ).
tcf(c_41862,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_41840]) ).
tcf(c_41863,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3961,c_41840]) ).
tcf(c_41864,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_41840]) ).
tcf(c_41865,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_41840]) ).
tcf(c_41866,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15621,c_41840]) ).
tcf(c_41867,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_41840]) ).
tcf(c_41868,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_41840]) ).
tcf(c_41869,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_41840]) ).
tcf(c_41870,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_41840]) ).
tcf(c_41871,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13423,c_41840]) ).
tcf(c_41872,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK1)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13198,c_41840]) ).
tcf(c_41873,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_41840]) ).
tcf(c_41874,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_41840]) ).
tcf(c_41875,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_41840]) ).
tcf(c_41876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_41840]) ).
tcf(c_41879,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_41840]) ).
tcf(c_41880,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_41840]) ).
tcf(c_41881,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41875,c_49]) ).
tcf(c_41890,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41874,c_103]) ).
tcf(c_41899,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41873,c_103]) ).
tcf(c_41908,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK1)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41872,c_103]) ).
tcf(c_41917,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41871,c_103]) ).
tcf(c_41926,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41870,c_103]) ).
tcf(c_41935,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41869,c_103]) ).
tcf(c_41944,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41867,c_103]) ).
tcf(c_41963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41866,c_103]) ).
tcf(c_41982,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41876,c_62]) ).
tcf(c_42015,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41868,c_103]) ).
tcf(c_42024,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41865,c_103]) ).
tcf(c_42038,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_24930,c_8631,c_8652,c_8679,c_24189,c_24931]) ).
tcf(c_42039,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_42038]) ).
tcf(c_42063,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_42039]) ).
tcf(c_42064,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_42039]) ).
tcf(c_42065,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_42039]) ).
tcf(c_42069,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl))) ),
inference(superposition,[status(thm)],[c_3046,c_42039]) ).
tcf(c_42070,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm))) ),
inference(superposition,[status(thm)],[c_3045,c_42039]) ).
tcf(c_42071,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_42039]) ).
tcf(c_42072,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_42039]) ).
tcf(c_42073,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_42039]) ).
tcf(c_42076,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_3894,c_42039]) ).
tcf(c_42088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_109]) ).
tcf(c_42092,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_110]) ).
tcf(c_42093,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_73]) ).
tcf(c_42094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_109]) ).
tcf(c_42095,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_11962]) ).
tcf(c_42096,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_8700]) ).
tcf(c_42098,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_110]) ).
tcf(c_42099,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_73]) ).
tcf(c_42100,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_5863]) ).
tcf(c_42101,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_42039,c_26045]) ).
tcf(c_42102,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_8679]) ).
tcf(c_42103,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42065,c_2474]) ).
tcf(c_42104,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42103,c_55]) ).
tcf(c_42112,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42064,c_2473]) ).
tcf(c_42113,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42112,c_52]) ).
tcf(c_42121,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42063,c_2472]) ).
tcf(c_42122,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42121,c_51]) ).
tcf(c_42130,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42073,c_3042]) ).
tcf(c_42131,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42130,c_55]) ).
tcf(c_42140,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42072,c_3043]) ).
tcf(c_42141,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42140,c_52]) ).
tcf(c_42150,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42071,c_3044]) ).
tcf(c_42151,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42150,c_51]) ).
tcf(c_42160,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42070,c_3045]) ).
tcf(c_42161,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42160,c_50]) ).
tcf(c_42170,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_42069,c_3046]) ).
tcf(c_42171,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42170,c_49]) ).
tcf(c_42191,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42093,c_59]) ).
tcf(c_42201,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42092,c_59]) ).
tcf(c_42212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42088,c_59]) ).
tcf(c_42290,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_42076,c_3894]) ).
tcf(c_42291,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42290,c_2518]) ).
tcf(c_42328,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))))
| ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_89]) ).
tcf(c_42330,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_27527]) ).
tcf(c_42331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_18982]) ).
tcf(c_42332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_18291]) ).
tcf(c_42333,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_15630]) ).
tcf(c_42335,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ( sdtasdt0(sdtpldt0(xl,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19737,c_91]) ).
tcf(c_42336,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_5229]) ).
tcf(c_42337,plain,
( ( sdtpldt0(xl,sK0) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_90]) ).
tcf(c_42340,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK0),X0))
| ( sdtpldt0(xl,sK0) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sK0)),X0) ),
inference(superposition,[status(thm)],[c_19737,c_87]) ).
tcf(c_42341,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_85]) ).
tcf(c_42342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sz00)
| ( sdtpldt0(xl,sK0) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_87]) ).
tcf(c_42343,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19737,c_92]) ).
tcf(c_42344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))),sz00)
| ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_19737,c_89]) ).
tcf(c_42345,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42341,c_22117,c_16168]) ).
tcf(c_42350,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ( sdtasdt0(sdtpldt0(xl,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42335,c_16176,c_16168]) ).
tcf(c_42355,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42343,c_16168]) ).
tcf(c_42361,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42333,c_2614,c_16168]) ).
tcf(c_42367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))),sz00)
| ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42344,c_16168]) ).
tcf(c_42374,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42342,c_16176,c_16168]) ).
tcf(c_42380,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK0),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42340,c_16176,c_16168]) ).
tcf(c_42386,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))))
| ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42328,c_16168]) ).
tcf(c_42393,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42330,c_2614,c_16168]) ).
tcf(c_42400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42332,c_16176,c_2614,c_16168]) ).
tcf(c_42408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42331,c_2614,c_16168]) ).
tcf(c_42483,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41578,c_109]) ).
tcf(c_42484,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41578,c_11962]) ).
tcf(c_42485,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_41578,c_8700]) ).
tcf(c_42487,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(superposition,[status(thm)],[c_41578,c_110]) ).
tcf(c_42488,plain,
( ( sdtpldt0(xp,sK2(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41578,c_73]) ).
tcf(c_42489,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41578,c_3965]) ).
tcf(c_42490,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42489,c_41576]) ).
tcf(c_42493,plain,
sdtpldt0(xp,sK2(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_42488,c_59,c_41576]) ).
tcf(c_42494,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42487,c_59,c_41576]) ).
tcf(c_42497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42483,c_59,c_41576]) ).
tcf(c_42501,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42484,c_59,c_41576]) ).
tcf(c_42657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_39902,c_70]) ).
tcf(c_42659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_39902,c_17825]) ).
tcf(c_42660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_39902,c_17392]) ).
tcf(c_42661,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_39902,c_14477]) ).
tcf(c_42665,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_39902,c_75]) ).
tcf(c_42666,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_39902,c_74]) ).
tcf(c_42667,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39902,c_145]) ).
tcf(c_42668,plain,
( aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_39902,c_84]) ).
tcf(c_42669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,xn))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_39902,c_70]) ).
tcf(c_42670,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_39902,c_76]) ).
tcf(c_42671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xq,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_39902,c_68]) ).
tcf(c_42672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xn,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_39902,c_68]) ).
tcf(c_42673,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_39902,c_98]) ).
tcf(c_42674,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_39902,c_77]) ).
tcf(c_42675,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_39902,c_28598]) ).
tcf(c_42676,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_39902,c_28380]) ).
tcf(c_42678,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_8706]) ).
tcf(c_42679,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xq))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_6431]) ).
tcf(c_42680,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_6346]) ).
tcf(c_42681,plain,
( ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xn,xq) != xp ) ),
inference(superposition,[status(thm)],[c_39902,c_4453]) ).
tcf(c_42682,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_39902,c_10288]) ).
tcf(c_42683,plain,
aNaturalNumber0(sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_42668,c_62,c_51]) ).
tcf(c_42684,plain,
sdtlseqdt0(xq,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_42667,c_62,c_51]) ).
tcf(c_42685,plain,
( ( sz00 = xq )
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42666,c_62,c_51]) ).
tcf(c_42688,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42665,c_62,c_51]) ).
tcf(c_42691,plain,
( ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xn,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42681,c_51]) ).
tcf(c_42695,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42674,c_62,c_51]) ).
tcf(c_42699,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42673,c_62,c_51]) ).
tcf(c_42704,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42670,c_62,c_51]) ).
tcf(c_42708,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42680,c_51]) ).
tcf(c_42713,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xq))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42679,c_51]) ).
tcf(c_42718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xn,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42672,c_62,c_51]) ).
tcf(c_42723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xq,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42671,c_62,c_51]) ).
tcf(c_42728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,xn))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42669,c_62,c_51]) ).
tcf(c_42733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42657,c_62,c_51]) ).
tcf(c_42738,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42661,c_62,c_51]) ).
tcf(c_42743,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42678,c_51]) ).
tcf(c_42749,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42676,c_51]) ).
tcf(c_42755,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42675,c_51]) ).
tcf(c_42762,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(light_normalisation,[status(thm)],[c_42682,c_39902]) ).
tcf(c_42763,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42762,c_51]) ).
tcf(c_42772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42660,c_62,c_51]) ).
tcf(c_42780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42659,c_62,c_51]) ).
tcf(c_42796,plain,
sdtpldt0(sdtpldt0(xn,xq),xn) = sdtpldt0(xn,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2701]) ).
tcf(c_42797,plain,
sdtpldt0(sdtpldt0(xn,xq),xm) = sdtpldt0(xm,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2700]) ).
tcf(c_42798,plain,
sdtpldt0(sdtpldt0(xn,xq),xl) = sdtpldt0(xl,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2699]) ).
tcf(c_42799,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xq)),sdtasdt0(X0,sdtpldt0(xn,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42683,c_79]) ).
tcf(c_42800,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xq),X1),sdtasdt0(sdtpldt0(xn,xq),X0)) = sdtasdt0(sdtpldt0(xn,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42683,c_78]) ).
tcf(c_42801,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xq),X1),X0) = sdtasdt0(sdtpldt0(xn,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42683,c_95]) ).
tcf(c_42802,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xq),X1),X0) = sdtpldt0(sdtpldt0(xn,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42683,c_82]) ).
tcf(c_42803,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xq),X0),sdtpldt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42683,c_152]) ).
tcf(c_42804,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xq),X0) = sdtasdt0(X0,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42683,c_96]) ).
tcf(c_42805,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xq),X0) = sdtpldt0(X0,sdtpldt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42683,c_83]) ).
tcf(c_42806,plain,
sdtasdt0(sz00,sdtpldt0(xn,xq)) = sz00,
inference(superposition,[status(thm)],[c_42683,c_94]) ).
tcf(c_42807,plain,
sdtasdt0(sdtpldt0(xn,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_42683,c_93]) ).
tcf(c_42808,plain,
sdtpldt0(sz00,sdtpldt0(xn,xq)) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_42683,c_81]) ).
tcf(c_42809,plain,
sdtpldt0(sdtpldt0(xn,xq),sz00) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_42683,c_80]) ).
tcf(c_42836,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42684,c_109]) ).
tcf(c_42837,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42684,c_11962]) ).
tcf(c_42838,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_42684,c_8700]) ).
tcf(c_42840,plain,
( ( sdtpldt0(xn,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xq) ),
inference(superposition,[status(thm)],[c_42684,c_110]) ).
tcf(c_42841,plain,
( ( sdtpldt0(xq,sK2(xq,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42684,c_73]) ).
tcf(c_42842,plain,
sdtpldt0(xq,sK2(xq,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_42841,c_62,c_42683]) ).
tcf(c_42843,plain,
( ( sdtpldt0(xn,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42840,c_62,c_42683]) ).
tcf(c_42846,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42836,c_62,c_42683]) ).
tcf(c_42850,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42837,c_62,c_42683]) ).
tcf(c_42861,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_40686,c_109]) ).
tcf(c_42862,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_40686,c_11962]) ).
tcf(c_42863,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_40686,c_8700]) ).
tcf(c_42865,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xn,sK0) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),xq) ),
inference(superposition,[status(thm)],[c_40686,c_110]) ).
tcf(c_42866,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_40686,c_73]) ).
tcf(c_42867,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42866,c_62,c_40684]) ).
tcf(c_42870,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xn,sK0) = xq )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42865,c_62,c_40684]) ).
tcf(c_42874,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42861,c_62,c_40684]) ).
tcf(c_42879,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42862,c_62,c_40684]) ).
tcf(c_42887,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41285,c_89]) ).
tcf(c_42890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41285,c_18982]) ).
tcf(c_42892,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41285,c_15630]) ).
tcf(c_42902,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ( sdtasdt0(X0,sdtpldt0(xn,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_41285,c_92]) ).
tcf(c_42903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41285,c_89]) ).
tcf(c_42904,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42902,c_103,c_40684]) ).
tcf(c_42909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42903,c_103,c_40684]) ).
tcf(c_42915,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42887,c_103,c_40684]) ).
tcf(c_42921,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42892,c_103,c_2614,c_40684]) ).
tcf(c_42926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42890,c_103,c_2614,c_40684]) ).
tcf(c_42938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41286,c_18291]) ).
tcf(c_42941,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ( sdtasdt0(sdtpldt0(xn,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_41286,c_91]) ).
tcf(c_42944,plain,
( doDivides0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41286,c_142]) ).
tcf(c_42946,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41286,c_87]) ).
tcf(c_42948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41286,c_87]) ).
tcf(c_42951,plain,
doDivides0(sdtpldt0(xn,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_42944,c_103,c_40684]) ).
tcf(c_42952,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42941,c_103,c_40684]) ).
tcf(c_42957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42948,c_103,c_40684]) ).
tcf(c_42963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42946,c_103,c_40684]) ).
tcf(c_42969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42938,c_103,c_2614,c_40684]) ).
tcf(c_42996,plain,
( ( sdtpldt0(xn,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK0),sdtsldt0(sz00,sdtpldt0(xn,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_42951,c_106]) ).
tcf(c_42997,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_42951,c_99]) ).
tcf(c_42998,plain,
( ( sdtasdt0(sdtpldt0(xn,sK0),sK3(sdtpldt0(xn,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_42951,c_102]) ).
tcf(c_42999,plain,
sdtasdt0(sdtpldt0(xn,sK0),sK3(sdtpldt0(xn,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_42998,c_103,c_40684]) ).
tcf(c_43000,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42997,c_103,c_40684]) ).
tcf(c_43004,plain,
( ( sdtpldt0(xn,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK0),sdtsldt0(sz00,sdtpldt0(xn,sK0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42996,c_103,c_40684]) ).
tcf(c_43017,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42743,c_109]) ).
tcf(c_43021,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sdtpldt0(xn,xq) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42743,c_110]) ).
tcf(c_43022,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(sdtpldt0(xn,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42743,c_73]) ).
tcf(c_43023,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(sdtpldt0(xn,xq),xp)) = xp )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43022,c_59,c_42683]) ).
tcf(c_43029,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sdtpldt0(xn,xq) = xp )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43021,c_59,c_42683]) ).
tcf(c_43036,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43017,c_59,c_42683]) ).
tcf(c_43085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24941,c_8631,c_24941]) ).
tcf(c_43104,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_43085]) ).
tcf(c_43105,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_43085]) ).
tcf(c_43108,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_43085]) ).
tcf(c_43109,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_43085]) ).
tcf(c_43110,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_43085]) ).
tcf(c_43112,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_43085]) ).
tcf(c_43114,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_43085]) ).
tcf(c_43115,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_43085]) ).
tcf(c_43116,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_43085]) ).
tcf(c_43117,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_43085]) ).
tcf(c_43118,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_43085]) ).
tcf(c_43119,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_43085]) ).
tcf(c_43120,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_43085]) ).
tcf(c_43121,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3894,c_43085]) ).
tcf(c_43133,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_109]) ).
tcf(c_43134,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_11962]) ).
tcf(c_43135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_8700]) ).
tcf(c_43137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_43085,c_110]) ).
tcf(c_43138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_73]) ).
tcf(c_43139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_5863]) ).
tcf(c_43140,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_43085,c_20184]) ).
tcf(c_43141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_43085,c_109]) ).
tcf(c_43145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_43085,c_110]) ).
tcf(c_43146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_43085,c_73]) ).
tcf(c_43147,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43112,c_62]) ).
tcf(c_43155,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43110,c_55]) ).
tcf(c_43163,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43109,c_52]) ).
tcf(c_43171,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43108,c_51]) ).
tcf(c_43179,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43104,c_103,c_2614]) ).
tcf(c_43312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43141,c_59]) ).
tcf(c_43345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43146,c_59]) ).
tcf(c_43355,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43145,c_59]) ).
tcf(c_43470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24942,c_8631,c_24942]) ).
tcf(c_43489,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_43470]) ).
tcf(c_43490,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_43470]) ).
tcf(c_43493,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_43470]) ).
tcf(c_43494,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_43470]) ).
tcf(c_43495,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_43470]) ).
tcf(c_43497,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_43470]) ).
tcf(c_43499,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_43470]) ).
tcf(c_43500,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_43470]) ).
tcf(c_43501,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_43470]) ).
tcf(c_43502,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_43470]) ).
tcf(c_43503,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_43470]) ).
tcf(c_43504,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_43470]) ).
tcf(c_43505,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_43470]) ).
tcf(c_43506,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3894,c_43470]) ).
tcf(c_43518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_109]) ).
tcf(c_43519,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_11962]) ).
tcf(c_43520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_8700]) ).
tcf(c_43522,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_43470,c_110]) ).
tcf(c_43523,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_73]) ).
tcf(c_43524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_5863]) ).
tcf(c_43525,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_43470,c_20184]) ).
tcf(c_43526,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_109]) ).
tcf(c_43527,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_11962]) ).
tcf(c_43529,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_3979]) ).
tcf(c_43530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_43470,c_110]) ).
tcf(c_43531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_73]) ).
tcf(c_43532,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_12182]) ).
tcf(c_43533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_43470,c_8702]) ).
tcf(c_43534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_5910]) ).
tcf(c_43535,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43497,c_62]) ).
tcf(c_43543,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43495,c_55]) ).
tcf(c_43551,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43494,c_52]) ).
tcf(c_43559,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43493,c_51]) ).
tcf(c_43567,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43489,c_103,c_2614]) ).
tcf(c_43883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_43533,c_8631,c_30831]) ).
tcf(c_43884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_43883]) ).
tcf(c_43906,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_43884]) ).
tcf(c_43907,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43906,c_103]) ).
tcf(c_43918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24939,c_8631,c_24939]) ).
tcf(c_43919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_43918]) ).
tcf(c_43938,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_43919]) ).
tcf(c_43939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_43919]) ).
tcf(c_43963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24940,c_8631,c_24940]) ).
tcf(c_43980,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_43963]) ).
tcf(c_43981,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_43963]) ).
tcf(c_43984,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_43963]) ).
tcf(c_43985,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_43963]) ).
tcf(c_43986,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_43963]) ).
tcf(c_43988,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_43963]) ).
tcf(c_43990,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_43963]) ).
tcf(c_43991,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_43963]) ).
tcf(c_43992,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_43963]) ).
tcf(c_43993,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_43963]) ).
tcf(c_43994,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_43963]) ).
tcf(c_43995,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_43963]) ).
tcf(c_43996,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_43963]) ).
tcf(c_43997,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3894,c_43963]) ).
tcf(c_44009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_109]) ).
tcf(c_44010,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_11962]) ).
tcf(c_44011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_8700]) ).
tcf(c_44013,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_43963,c_110]) ).
tcf(c_44014,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_73]) ).
tcf(c_44015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_5863]) ).
tcf(c_44016,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_43963,c_20184]) ).
tcf(c_44017,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43988,c_62]) ).
tcf(c_44024,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43986,c_55]) ).
tcf(c_44031,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43985,c_52]) ).
tcf(c_44038,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43984,c_51]) ).
tcf(c_44181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)))
| ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_89]) ).
tcf(c_44183,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_27527]) ).
tcf(c_44184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_18982]) ).
tcf(c_44185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_18291]) ).
tcf(c_44186,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_15630]) ).
tcf(c_44188,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ( sdtasdt0(sdtpldt0(xl,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20606,c_91]) ).
tcf(c_44189,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_5229]) ).
tcf(c_44190,plain,
( ( sdtpldt0(xl,sK1) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_90]) ).
tcf(c_44193,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK1),X0))
| ( sdtpldt0(xl,sK1) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sK1),sz00),X0) ),
inference(superposition,[status(thm)],[c_20606,c_87]) ).
tcf(c_44194,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sz00)
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_85]) ).
tcf(c_44195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sz00)
| ( sdtpldt0(xl,sK1) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_87]) ).
tcf(c_44196,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20606,c_92]) ).
tcf(c_44197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)),sz00)
| ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(superposition,[status(thm)],[c_20606,c_89]) ).
tcf(c_44198,plain,
( ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44194,c_22257,c_16398]) ).
tcf(c_44203,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ( sdtasdt0(sdtpldt0(xl,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44188,c_16406,c_16398]) ).
tcf(c_44208,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44196,c_16398]) ).
tcf(c_44214,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44186,c_2614,c_16398]) ).
tcf(c_44220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)),sz00)
| ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44197,c_16398]) ).
tcf(c_44227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sz00)
| ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44195,c_16406,c_16398]) ).
tcf(c_44233,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK1),X0))
| ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sK1),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44193,c_16406,c_16398]) ).
tcf(c_44239,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)))
| ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44181,c_16398]) ).
tcf(c_44246,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44183,c_2614,c_16398]) ).
tcf(c_44253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44185,c_16406,c_2614,c_16398]) ).
tcf(c_44261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sK1),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ( sK3(sdtpldt0(xl,sK1),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sK1),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44184,c_2614,c_16398]) ).
tcf(c_44334,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41506,c_89]) ).
tcf(c_44337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41506,c_18982]) ).
tcf(c_44339,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41506,c_15630]) ).
tcf(c_44349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ( sdtasdt0(X0,sdtpldt0(xn,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_41506,c_92]) ).
tcf(c_44350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41506,c_89]) ).
tcf(c_44351,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44349,c_103,c_41362]) ).
tcf(c_44356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44350,c_103,c_41362]) ).
tcf(c_44362,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44334,c_103,c_41362]) ).
tcf(c_44368,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44339,c_103,c_2614,c_41362]) ).
tcf(c_44373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44337,c_103,c_2614,c_41362]) ).
tcf(c_44385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41507,c_18291]) ).
tcf(c_44388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ( sdtasdt0(sdtpldt0(xn,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_41507,c_91]) ).
tcf(c_44391,plain,
( doDivides0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41507,c_142]) ).
tcf(c_44393,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41507,c_87]) ).
tcf(c_44395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41507,c_87]) ).
tcf(c_44398,plain,
doDivides0(sdtpldt0(xn,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_44391,c_103,c_41362]) ).
tcf(c_44399,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44388,c_103,c_41362]) ).
tcf(c_44404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44395,c_103,c_41362]) ).
tcf(c_44410,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44393,c_103,c_41362]) ).
tcf(c_44416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44385,c_103,c_2614,c_41362]) ).
tcf(c_44470,plain,
( ( sdtpldt0(xn,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK1),sdtsldt0(sz00,sdtpldt0(xn,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_44398,c_106]) ).
tcf(c_44471,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_44398,c_99]) ).
tcf(c_44472,plain,
( ( sdtasdt0(sdtpldt0(xn,sK1),sK3(sdtpldt0(xn,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_44398,c_102]) ).
tcf(c_44473,plain,
sdtasdt0(sdtpldt0(xn,sK1),sK3(sdtpldt0(xn,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44472,c_103,c_41362]) ).
tcf(c_44474,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44471,c_103,c_41362]) ).
tcf(c_44478,plain,
( ( sdtpldt0(xn,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sK1),sdtsldt0(sz00,sdtpldt0(xn,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44470,c_103,c_41362]) ).
tcf(c_44481,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41657,c_89]) ).
tcf(c_44484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41657,c_18982]) ).
tcf(c_44486,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41657,c_15630]) ).
tcf(c_44496,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_41657,c_92]) ).
tcf(c_44497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41657,c_89]) ).
tcf(c_44498,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44496,c_103,c_41576]) ).
tcf(c_44503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44497,c_103,c_41576]) ).
tcf(c_44509,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44481,c_103,c_41576]) ).
tcf(c_44515,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44486,c_103,c_2614,c_41576]) ).
tcf(c_44520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44484,c_103,c_2614,c_41576]) ).
tcf(c_44532,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41364,c_109]) ).
tcf(c_44533,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41364,c_11962]) ).
tcf(c_44534,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_41364,c_8700]) ).
tcf(c_44536,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xn,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),xq) ),
inference(superposition,[status(thm)],[c_41364,c_110]) ).
tcf(c_44537,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41364,c_73]) ).
tcf(c_44538,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44537,c_62,c_41362]) ).
tcf(c_44541,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xn,sK1) = xq )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44536,c_62,c_41362]) ).
tcf(c_44545,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44532,c_62,c_41362]) ).
tcf(c_44550,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44533,c_62,c_41362]) ).
tcf(c_44562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41658,c_18291]) ).
tcf(c_44565,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_41658,c_91]) ).
tcf(c_44568,plain,
( doDivides0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41658,c_142]) ).
tcf(c_44570,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41658,c_87]) ).
tcf(c_44572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41658,c_87]) ).
tcf(c_44575,plain,
doDivides0(sdtpldt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_44568,c_103,c_41576]) ).
tcf(c_44576,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44565,c_103,c_41576]) ).
tcf(c_44581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44572,c_103,c_41576]) ).
tcf(c_44587,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44570,c_103,c_41576]) ).
tcf(c_44593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44562,c_103,c_2614,c_41576]) ).
tcf(c_44662,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_44575,c_106]) ).
tcf(c_44663,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_44575,c_99]) ).
tcf(c_44664,plain,
( ( sdtasdt0(sdtpldt0(xn,xp),sK3(sdtpldt0(xn,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_44575,c_102]) ).
tcf(c_44665,plain,
sdtasdt0(sdtpldt0(xn,xp),sK3(sdtpldt0(xn,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_44664,c_103,c_41576]) ).
tcf(c_44666,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44663,c_103,c_41576]) ).
tcf(c_44670,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44662,c_103,c_41576]) ).
tcf(c_44673,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42806,c_89]) ).
tcf(c_44676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42806,c_18982]) ).
tcf(c_44678,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42806,c_15630]) ).
tcf(c_44688,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtasdt0(X0,sdtpldt0(xn,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_42806,c_92]) ).
tcf(c_44689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42806,c_89]) ).
tcf(c_44690,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44688,c_103,c_42683]) ).
tcf(c_44695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44689,c_103,c_42683]) ).
tcf(c_44701,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44673,c_103,c_42683]) ).
tcf(c_44707,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44678,c_103,c_2614,c_42683]) ).
tcf(c_44712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44676,c_103,c_2614,c_42683]) ).
tcf(c_44725,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15220,c_8631,c_8639,c_15220,c_15621]) ).
tcf(c_44726,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(renaming,[status(thm)],[c_44725]) ).
tcf(c_44733,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44726,c_84]) ).
tcf(c_44750,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_44733,c_109]) ).
tcf(c_44751,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_44733,c_11962]) ).
tcf(c_44752,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_44733,c_8700]) ).
tcf(c_44754,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),xp) ),
inference(superposition,[status(thm)],[c_44733,c_110]) ).
tcf(c_44755,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_44733,c_73]) ).
tcf(c_44756,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_44733,c_3965]) ).
tcf(c_44759,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44750,c_59]) ).
tcf(c_44775,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44751,c_59]) ).
tcf(c_44784,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44752,c_59]) ).
tcf(c_44793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44755,c_59]) ).
tcf(c_44800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44754,c_59]) ).
tcf(c_44831,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_44784,c_8631,c_44784]) ).
tcf(c_44832,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(renaming,[status(thm)],[c_44831]) ).
tcf(c_44849,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_108,c_44832]) ).
tcf(c_44851,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44849,c_103]) ).
tcf(c_45029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_24927,c_8631,c_24927]) ).
tcf(c_45030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_45029]) ).
tcf(c_45052,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_68,c_45030]) ).
tcf(c_45053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70,c_45030]) ).
tcf(c_45054,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_145,c_45030]) ).
tcf(c_45055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111,c_45030]) ).
tcf(c_45056,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_45030]) ).
tcf(c_45057,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_45030]) ).
tcf(c_45058,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3961,c_45030]) ).
tcf(c_45059,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_45030]) ).
tcf(c_45060,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_45030]) ).
tcf(c_45061,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15621,c_45030]) ).
tcf(c_45062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_45030]) ).
tcf(c_45063,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_45030]) ).
tcf(c_45064,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_45030]) ).
tcf(c_45065,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_45030]) ).
tcf(c_45066,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13423,c_45030]) ).
tcf(c_45067,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13198,c_45030]) ).
tcf(c_45068,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_45030]) ).
tcf(c_45069,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_45030]) ).
tcf(c_45070,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_45030]) ).
tcf(c_45071,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_45030]) ).
tcf(c_45074,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7120,c_45030]) ).
tcf(c_45076,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_45030]) ).
tcf(c_45077,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_45030]) ).
tcf(c_45078,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_45030]) ).
tcf(c_45079,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_45030]) ).
tcf(c_45081,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_45030]) ).
tcf(c_45082,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_45030]) ).
tcf(c_45083,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_45030]) ).
tcf(c_45084,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_45030]) ).
tcf(c_45085,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_45030]) ).
tcf(c_45086,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_45030]) ).
tcf(c_45087,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_45030]) ).
tcf(c_45089,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_45030]) ).
tcf(c_45090,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_3036,c_45030]) ).
tcf(c_45093,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_45030]) ).
tcf(c_45094,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_45030]) ).
tcf(c_45095,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_45030]) ).
tcf(c_45097,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_45030]) ).
tcf(c_45099,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl))) ),
inference(superposition,[status(thm)],[c_3046,c_45030]) ).
tcf(c_45100,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm))) ),
inference(superposition,[status(thm)],[c_3045,c_45030]) ).
tcf(c_45101,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_45030]) ).
tcf(c_45102,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_45030]) ).
tcf(c_45103,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_45030]) ).
tcf(c_45104,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_45030]) ).
tcf(c_45105,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_45030]) ).
tcf(c_45106,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_3894,c_45030]) ).
tcf(c_45126,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45054,c_103]) ).
tcf(c_45135,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45097,c_2476]) ).
tcf(c_45136,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45135,c_62]) ).
tcf(c_45145,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45095,c_2474]) ).
tcf(c_45146,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45145,c_55]) ).
tcf(c_45155,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45094,c_2473]) ).
tcf(c_45156,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45155,c_52]) ).
tcf(c_45165,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45093,c_2472]) ).
tcf(c_45166,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45165,c_51]) ).
tcf(c_45175,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45089,c_2465]) ).
tcf(c_45176,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45175,c_103,c_2614]) ).
tcf(c_45184,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45070,c_49]) ).
tcf(c_45194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45069,c_103]) ).
tcf(c_45204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45068,c_103]) ).
tcf(c_45214,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45067,c_103]) ).
tcf(c_45224,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45066,c_103]) ).
tcf(c_45234,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45065,c_103]) ).
tcf(c_45244,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45064,c_103]) ).
tcf(c_45254,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xl)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45062,c_103]) ).
tcf(c_45275,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45061,c_103]) ).
tcf(c_45325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45071,c_62]) ).
tcf(c_45337,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45105,c_3040]) ).
tcf(c_45338,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45337,c_62]) ).
tcf(c_45348,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45104,c_3041]) ).
tcf(c_45349,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45348,c_59]) ).
tcf(c_45359,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45103,c_3042]) ).
tcf(c_45360,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45359,c_55]) ).
tcf(c_45370,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45102,c_3043]) ).
tcf(c_45371,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45370,c_52]) ).
tcf(c_45381,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45101,c_3044]) ).
tcf(c_45382,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45381,c_51]) ).
tcf(c_45392,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45100,c_3045]) ).
tcf(c_45393,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45392,c_50]) ).
tcf(c_45403,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45099,c_3046]) ).
tcf(c_45404,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45403,c_49]) ).
tcf(c_45414,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45090,c_3036]) ).
tcf(c_45415,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45414,c_103]) ).
tcf(c_45464,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45063,c_103]) ).
tcf(c_45474,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45053,c_103]) ).
tcf(c_45487,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45052,c_103]) ).
tcf(c_45500,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45074,c_59,c_103]) ).
tcf(c_45511,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_45106,c_3894]) ).
tcf(c_45512,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45511,c_2518]) ).
tcf(c_45531,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45060,c_103]) ).
tcf(c_45694,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15216,c_8631,c_8639,c_23132]) ).
tcf(c_45695,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp)) ),
inference(renaming,[status(thm)],[c_45694]) ).
tcf(c_45702,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45695,c_84]) ).
tcf(c_45720,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_108,c_45702]) ).
tcf(c_45721,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_11891,c_45702]) ).
tcf(c_45722,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_12725,c_45702]) ).
tcf(c_45723,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_6696,c_45702]) ).
tcf(c_45767,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))))
| ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_89]) ).
tcf(c_45769,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_27527]) ).
tcf(c_45770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_18982]) ).
tcf(c_45771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_18291]) ).
tcf(c_45772,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_15630]) ).
tcf(c_45774,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ( sdtasdt0(sdtpldt0(xl,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20611,c_91]) ).
tcf(c_45775,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_5229]) ).
tcf(c_45776,plain,
( ( sdtpldt0(xl,sK1) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_90]) ).
tcf(c_45779,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK1),X0))
| ( sdtpldt0(xl,sK1) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sK1)),X0) ),
inference(superposition,[status(thm)],[c_20611,c_87]) ).
tcf(c_45780,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_85]) ).
tcf(c_45781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sz00)
| ( sdtpldt0(xl,sK1) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_87]) ).
tcf(c_45782,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20611,c_92]) ).
tcf(c_45783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))),sz00)
| ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_20611,c_89]) ).
tcf(c_45784,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45780,c_22257,c_16398]) ).
tcf(c_45789,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ( sdtasdt0(sdtpldt0(xl,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45774,c_16406,c_16398]) ).
tcf(c_45794,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45782,c_16398]) ).
tcf(c_45800,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45772,c_2614,c_16398]) ).
tcf(c_45806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))),sz00)
| ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45783,c_16398]) ).
tcf(c_45813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45781,c_16406,c_16398]) ).
tcf(c_45819,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sK1),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45779,c_16406,c_16398]) ).
tcf(c_45825,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))))
| ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45767,c_16398]) ).
tcf(c_45832,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45769,c_2614,c_16398]) ).
tcf(c_45839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45771,c_16406,c_2614,c_16398]) ).
tcf(c_45847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45770,c_2614,c_16398]) ).
tcf(c_45860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42807,c_18291]) ).
tcf(c_45863,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtasdt0(sdtpldt0(xn,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_42807,c_91]) ).
tcf(c_45866,plain,
( doDivides0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42807,c_142]) ).
tcf(c_45868,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42807,c_87]) ).
tcf(c_45870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42807,c_87]) ).
tcf(c_45873,plain,
doDivides0(sdtpldt0(xn,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_45866,c_103,c_42683]) ).
tcf(c_45874,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45863,c_103,c_42683]) ).
tcf(c_45879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45870,c_103,c_42683]) ).
tcf(c_45885,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45868,c_103,c_42683]) ).
tcf(c_45891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45860,c_103,c_2614,c_42683]) ).
tcf(c_45899,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xq),sdtsldt0(sz00,sdtpldt0(xn,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_45873,c_106]) ).
tcf(c_45900,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_45873,c_99]) ).
tcf(c_45901,plain,
( ( sdtasdt0(sdtpldt0(xn,xq),sK3(sdtpldt0(xn,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_45873,c_102]) ).
tcf(c_45902,plain,
sdtasdt0(sdtpldt0(xn,xq),sK3(sdtpldt0(xn,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_45901,c_103,c_42683]) ).
tcf(c_45903,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45900,c_103,c_42683]) ).
tcf(c_45907,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xq),sdtsldt0(sz00,sdtpldt0(xn,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45899,c_103,c_42683]) ).
tcf(c_45910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK0)),sdtpldt0(xn,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41287,c_70]) ).
tcf(c_45912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_41287,c_17825]) ).
tcf(c_45913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41287,c_17392]) ).
tcf(c_45914,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_41287,c_14477]) ).
tcf(c_45920,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41287,c_145]) ).
tcf(c_45922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(X0,sdtpldt0(xn,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41287,c_70]) ).
tcf(c_45923,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_41287,c_76]) ).
tcf(c_45924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),X0) ),
inference(superposition,[status(thm)],[c_41287,c_68]) ).
tcf(c_45925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41287,c_68]) ).
tcf(c_45927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ( sdtpldt0(X0,sdtpldt0(xn,sK0)) != sdtpldt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_41287,c_77]) ).
tcf(c_45928,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_43963]) ).
tcf(c_45929,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_43470]) ).
tcf(c_45930,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_43085]) ).
tcf(c_45931,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_42039]) ).
tcf(c_45932,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_35146]) ).
tcf(c_45933,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_26041]) ).
tcf(c_45934,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_26044]) ).
tcf(c_45935,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_41287,c_26052]) ).
tcf(c_45936,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_15930]) ).
tcf(c_45937,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_15792]) ).
tcf(c_45938,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_24215]) ).
tcf(c_45939,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_24215]) ).
tcf(c_45940,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_15931]) ).
tcf(c_45941,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_24885]) ).
tcf(c_45942,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_15793]) ).
tcf(c_45943,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_41287,c_8652]) ).
tcf(c_45944,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_45030]) ).
tcf(c_45945,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_45920,c_103,c_40684]) ).
tcf(c_45946,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK0)) != sdtpldt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45927,c_103,c_40684]) ).
tcf(c_45950,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45923,c_103,c_40684]) ).
tcf(c_45954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(X0,sdtpldt0(xn,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45922,c_103,c_40684]) ).
tcf(c_45960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45925,c_103,c_40684]) ).
tcf(c_45965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45924,c_103,c_40684]) ).
tcf(c_45970,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45914,c_103,c_40684]) ).
tcf(c_45975,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45943,c_40684]) ).
tcf(c_45980,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45942,c_40684]) ).
tcf(c_45986,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45940,c_40684]) ).
tcf(c_45992,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45939,c_41287]) ).
tcf(c_45993,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45992,c_40684]) ).
tcf(c_46001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45912,c_103,c_40684]) ).
tcf(c_46009,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45937,c_40684]) ).
tcf(c_46016,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45936,c_40684]) ).
tcf(c_46023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45913,c_103,c_40684]) ).
tcf(c_46038,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45935,c_41287]) ).
tcf(c_46039,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46038,c_40684]) ).
tcf(c_46045,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45934,c_41287]) ).
tcf(c_46046,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46045,c_40684]) ).
tcf(c_46053,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45932,c_40684]) ).
tcf(c_46061,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45933,c_41287]) ).
tcf(c_46062,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46061,c_40684]) ).
tcf(c_46070,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45931,c_41287]) ).
tcf(c_46071,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46070,c_40684]) ).
tcf(c_46079,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45930,c_40684]) ).
tcf(c_46087,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45929,c_40684]) ).
tcf(c_46095,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45928,c_40684]) ).
tcf(c_46102,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_45944,c_41287]) ).
tcf(c_46103,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46102,c_40684]) ).
tcf(c_46207,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_45945,c_109]) ).
tcf(c_46211,plain,
( ( sdtpldt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_45945,c_110]) ).
tcf(c_46212,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_45945,c_73]) ).
tcf(c_46213,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_46212,c_103,c_40684]) ).
tcf(c_46214,plain,
( ( sdtpldt0(xn,sK0) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46211,c_103,c_40684]) ).
tcf(c_46217,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46207,c_103,c_40684]) ).
tcf(c_46221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41288,c_70]) ).
tcf(c_46222,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_41288,c_24035]) ).
tcf(c_46223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41288,c_17825]) ).
tcf(c_46224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_41288,c_17392]) ).
tcf(c_46225,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_41288,c_14477]) ).
tcf(c_46226,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41288,c_5155]) ).
tcf(c_46231,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41288,c_145]) ).
tcf(c_46233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),X0) ),
inference(superposition,[status(thm)],[c_41288,c_70]) ).
tcf(c_46234,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ( sdtpldt0(sdtpldt0(xn,sK0),X0) != sdtpldt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_41288,c_76]) ).
tcf(c_46235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(sdtpldt0(xn,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41288,c_68]) ).
tcf(c_46236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK0),X0),sdtpldt0(xn,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41288,c_68]) ).
tcf(c_46238,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_41288,c_77]) ).
tcf(c_46239,plain,
sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_46231,c_103,c_40684]) ).
tcf(c_46240,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46226,c_103,c_40684]) ).
tcf(c_46243,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46238,c_103,c_40684]) ).
tcf(c_46247,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK0),X0) != sdtpldt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46234,c_103,c_40684]) ).
tcf(c_46252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(sdtpldt0(xn,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46235,c_103,c_40684]) ).
tcf(c_46257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46233,c_103,c_40684]) ).
tcf(c_46262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46221,c_103,c_40684]) ).
tcf(c_46267,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46225,c_103,c_40684]) ).
tcf(c_46272,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46222,c_103,c_40684]) ).
tcf(c_46278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46224,c_103,c_40684]) ).
tcf(c_46286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46223,c_103,c_40684]) ).
tcf(c_46396,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_46239,c_8700]) ).
tcf(c_46399,plain,
( ( sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_46239,c_73]) ).
tcf(c_46400,plain,
sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),sdtpldt0(xn,sK0))) = sdtpldt0(xn,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_46399,c_40684]) ).
tcf(c_46402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK1)),sdtpldt0(xn,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41508,c_70]) ).
tcf(c_46404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_41508,c_17825]) ).
tcf(c_46405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41508,c_17392]) ).
tcf(c_46406,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_41508,c_14477]) ).
tcf(c_46412,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41508,c_145]) ).
tcf(c_46414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(X0,sdtpldt0(xn,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41508,c_70]) ).
tcf(c_46415,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_41508,c_76]) ).
tcf(c_46416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),X0) ),
inference(superposition,[status(thm)],[c_41508,c_68]) ).
tcf(c_46417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41508,c_68]) ).
tcf(c_46419,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ( sdtpldt0(X0,sdtpldt0(xn,sK1)) != sdtpldt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_41508,c_77]) ).
tcf(c_46420,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_43963]) ).
tcf(c_46421,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_43470]) ).
tcf(c_46422,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_43085]) ).
tcf(c_46423,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_42039]) ).
tcf(c_46424,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_35146]) ).
tcf(c_46425,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_26041]) ).
tcf(c_46426,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_26044]) ).
tcf(c_46427,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_41508,c_26052]) ).
tcf(c_46428,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_15930]) ).
tcf(c_46429,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_15792]) ).
tcf(c_46430,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_24215]) ).
tcf(c_46431,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_24215]) ).
tcf(c_46432,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_15931]) ).
tcf(c_46433,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_24885]) ).
tcf(c_46434,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_15793]) ).
tcf(c_46435,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_41508,c_8652]) ).
tcf(c_46436,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_45030]) ).
tcf(c_46437,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_46412,c_103,c_41362]) ).
tcf(c_46438,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sK1)) != sdtpldt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46419,c_103,c_41362]) ).
tcf(c_46442,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46415,c_103,c_41362]) ).
tcf(c_46446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(X0,sdtpldt0(xn,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46414,c_103,c_41362]) ).
tcf(c_46452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46417,c_103,c_41362]) ).
tcf(c_46457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46416,c_103,c_41362]) ).
tcf(c_46462,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46406,c_103,c_41362]) ).
tcf(c_46467,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46435,c_41362]) ).
tcf(c_46472,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46434,c_41362]) ).
tcf(c_46478,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46432,c_41362]) ).
tcf(c_46484,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46431,c_41508]) ).
tcf(c_46485,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46484,c_41362]) ).
tcf(c_46493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46404,c_103,c_41362]) ).
tcf(c_46501,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46429,c_41362]) ).
tcf(c_46508,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46428,c_41362]) ).
tcf(c_46515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46405,c_103,c_41362]) ).
tcf(c_46530,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46427,c_41508]) ).
tcf(c_46531,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46530,c_41362]) ).
tcf(c_46537,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46426,c_41508]) ).
tcf(c_46538,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46537,c_41362]) ).
tcf(c_46545,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46424,c_41362]) ).
tcf(c_46553,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46425,c_41508]) ).
tcf(c_46554,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46553,c_41362]) ).
tcf(c_46562,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46423,c_41508]) ).
tcf(c_46563,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46562,c_41362]) ).
tcf(c_46571,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46422,c_41362]) ).
tcf(c_46579,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46421,c_41362]) ).
tcf(c_46587,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46420,c_41362]) ).
tcf(c_46594,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46436,c_41508]) ).
tcf(c_46595,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46594,c_41362]) ).
tcf(c_46662,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_46437,c_109]) ).
tcf(c_46666,plain,
( ( sdtpldt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_46437,c_110]) ).
tcf(c_46667,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_46437,c_73]) ).
tcf(c_46668,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_46667,c_103,c_41362]) ).
tcf(c_46669,plain,
( ( sdtpldt0(xn,sK1) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46666,c_103,c_41362]) ).
tcf(c_46672,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46662,c_103,c_41362]) ).
tcf(c_46738,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(global_subsumption_just,[status(thm)],[c_15217,c_8631,c_23133]) ).
tcf(c_46746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46738,c_84]) ).
tcf(c_46762,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_46746]) ).
tcf(c_46763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46762,c_103]) ).
tcf(c_46772,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_24193,c_8631,c_24193]) ).
tcf(c_46773,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_46772]) ).
tcf(c_46788,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46773,c_109]) ).
tcf(c_46792,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46773,c_110]) ).
tcf(c_46793,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_46773,c_73]) ).
tcf(c_46794,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_46773,c_5863]) ).
tcf(c_46831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ( sK2(sz00,sK2(xq,xp)) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_24933,c_8631,c_8652,c_24933]) ).
tcf(c_46832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_46831]) ).
tcf(c_46850,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_46832]) ).
tcf(c_46851,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_3036,c_46832]) ).
tcf(c_46854,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_46832]) ).
tcf(c_46855,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_46832]) ).
tcf(c_46856,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_46832]) ).
tcf(c_46858,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_46832]) ).
tcf(c_46860,plain,
( sdtlseqdt0(sdtpldt0(xq,xl),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl))) ),
inference(superposition,[status(thm)],[c_3046,c_46832]) ).
tcf(c_46861,plain,
( sdtlseqdt0(sdtpldt0(xq,xm),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm))) ),
inference(superposition,[status(thm)],[c_3045,c_46832]) ).
tcf(c_46862,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_46832]) ).
tcf(c_46863,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_46832]) ).
tcf(c_46864,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_46832]) ).
tcf(c_46865,plain,
( sdtlseqdt0(sdtpldt0(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_46832]) ).
tcf(c_46866,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_46832]) ).
tcf(c_46867,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_3894,c_46832]) ).
tcf(c_46879,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_46832]) ).
tcf(c_46880,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_46832]) ).
tcf(c_46881,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,X1))) ),
inference(superposition,[status(thm)],[c_46832,c_109]) ).
tcf(c_46885,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xq,sdtpldt0(sz00,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_46832,c_110]) ).
tcf(c_46886,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_46832,c_73]) ).
tcf(c_46887,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_109]) ).
tcf(c_46888,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_11962]) ).
tcf(c_46889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_8700]) ).
tcf(c_46890,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_3979]) ).
tcf(c_46891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_110]) ).
tcf(c_46892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_73]) ).
tcf(c_46893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_5863]) ).
tcf(c_46894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_46832,c_26045]) ).
tcf(c_46895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_8679]) ).
tcf(c_46896,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46858,c_2476]) ).
tcf(c_46897,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46896,c_62]) ).
tcf(c_46904,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46856,c_2474]) ).
tcf(c_46905,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46904,c_55]) ).
tcf(c_46912,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46855,c_2473]) ).
tcf(c_46913,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46912,c_52]) ).
tcf(c_46920,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46854,c_2472,c_39902]) ).
tcf(c_46921,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46920,c_51]) ).
tcf(c_46928,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46850,c_2464,c_2465]) ).
tcf(c_46929,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46866,c_3040]) ).
tcf(c_46930,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46929,c_62]) ).
tcf(c_46938,plain,
( sdtlseqdt0(sdtpldt0(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46865,c_3041]) ).
tcf(c_46939,plain,
( sdtlseqdt0(sdtpldt0(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46938,c_59]) ).
tcf(c_46947,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46864,c_3042]) ).
tcf(c_46948,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46947,c_55]) ).
tcf(c_46956,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46863,c_3043]) ).
tcf(c_46957,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46956,c_52]) ).
tcf(c_46965,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46862,c_3044,c_39902]) ).
tcf(c_46966,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46965,c_51]) ).
tcf(c_46974,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46861,c_3045,c_26865]) ).
tcf(c_46975,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46974,c_50]) ).
tcf(c_46983,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46860,c_3046,c_14300]) ).
tcf(c_46984,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46983,c_49]) ).
tcf(c_46992,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46851,c_2464,c_3036]) ).
tcf(c_47003,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46880,c_41508]) ).
tcf(c_47004,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47003,c_41362]) ).
tcf(c_47011,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_46879,c_41287]) ).
tcf(c_47012,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47011,c_40684]) ).
tcf(c_47089,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_46867,c_3894]) ).
tcf(c_47090,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47089,c_2518]) ).
tcf(c_47098,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46881,c_59]) ).
tcf(c_47110,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46886,c_59]) ).
tcf(c_47120,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xq,sdtpldt0(sz00,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46885,c_59]) ).
tcf(c_47255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_41879]) ).
tcf(c_47256,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_41879]) ).
tcf(c_47257,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_3036,c_41879]) ).
tcf(c_47260,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_41879]) ).
tcf(c_47261,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_41879]) ).
tcf(c_47262,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_41879]) ).
tcf(c_47264,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_41879]) ).
tcf(c_47268,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_41879]) ).
tcf(c_47269,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_41879]) ).
tcf(c_47270,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_41879]) ).
tcf(c_47272,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_41879]) ).
tcf(c_47285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_41879]) ).
tcf(c_47286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_41879]) ).
tcf(c_47287,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47264,c_2476]) ).
tcf(c_47288,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47287,c_62]) ).
tcf(c_47298,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47262,c_2474]) ).
tcf(c_47299,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47298,c_55]) ).
tcf(c_47309,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47261,c_2473]) ).
tcf(c_47310,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47309,c_52]) ).
tcf(c_47320,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47260,c_2472]) ).
tcf(c_47321,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47320,c_51]) ).
tcf(c_47331,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47256,c_2465]) ).
tcf(c_47333,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47255,c_103]) ).
tcf(c_47345,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47272,c_3040]) ).
tcf(c_47346,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47345,c_62]) ).
tcf(c_47357,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47270,c_3042]) ).
tcf(c_47358,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47357,c_55]) ).
tcf(c_47369,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47269,c_3043]) ).
tcf(c_47370,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47369,c_52]) ).
tcf(c_47381,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47268,c_3044]) ).
tcf(c_47382,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47381,c_51]) ).
tcf(c_47393,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47257,c_3036]) ).
tcf(c_47394,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47393,c_103,c_2614]) ).
tcf(c_47404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47286,c_41508]) ).
tcf(c_47405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47404,c_41362]) ).
tcf(c_47415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47285,c_41287]) ).
tcf(c_47416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47415,c_40684]) ).
tcf(c_47637,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ( sK2(sz00,sK2(xq,xp)) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_24931,c_8631,c_8652,c_24931]) ).
tcf(c_47638,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(renaming,[status(thm)],[c_47637]) ).
tcf(c_47658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_47638]) ).
tcf(c_47661,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_47638]) ).
tcf(c_47663,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_47638]) ).
tcf(c_47664,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_47638]) ).
tcf(c_47665,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_47638]) ).
tcf(c_47666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_47638]) ).
tcf(c_47667,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_47638]) ).
tcf(c_47668,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_47638]) ).
tcf(c_47669,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_47638]) ).
tcf(c_47670,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_47638]) ).
tcf(c_47672,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_47638]) ).
tcf(c_47673,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_3036,c_47638]) ).
tcf(c_47676,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_47638]) ).
tcf(c_47677,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_47638]) ).
tcf(c_47678,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_47638]) ).
tcf(c_47680,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_47638]) ).
tcf(c_47682,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),xl)
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl))) ),
inference(superposition,[status(thm)],[c_3046,c_47638]) ).
tcf(c_47683,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),xm)
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm))) ),
inference(superposition,[status(thm)],[c_3045,c_47638]) ).
tcf(c_47684,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),xn)
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_47638]) ).
tcf(c_47685,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sK0)
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_47638]) ).
tcf(c_47686,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sK1)
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_47638]) ).
tcf(c_47687,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xp)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_47638]) ).
tcf(c_47688,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),xq)
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_47638]) ).
tcf(c_47689,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_3894,c_47638]) ).
tcf(c_47701,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_41287,c_47638]) ).
tcf(c_47702,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41508,c_47638]) ).
tcf(c_47703,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47680,c_2476]) ).
tcf(c_47704,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47703,c_62]) ).
tcf(c_47711,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47678,c_2474]) ).
tcf(c_47712,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47711,c_55]) ).
tcf(c_47719,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47677,c_2473]) ).
tcf(c_47720,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47719,c_52]) ).
tcf(c_47727,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47676,c_2472]) ).
tcf(c_47728,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47727,c_51]) ).
tcf(c_47735,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47672,c_2465]) ).
tcf(c_47736,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47735,c_103,c_2614]) ).
tcf(c_47768,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),xq)
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47688,c_3040]) ).
tcf(c_47769,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),xq)
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47768,c_62]) ).
tcf(c_47777,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xp)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47687,c_3041]) ).
tcf(c_47778,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xp)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47777,c_59]) ).
tcf(c_47786,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sK1)
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47686,c_3042]) ).
tcf(c_47787,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sK1)
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47786,c_55]) ).
tcf(c_47795,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sK0)
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47685,c_3043]) ).
tcf(c_47796,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sK0)
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47795,c_52]) ).
tcf(c_47804,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),xn)
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47684,c_3044]) ).
tcf(c_47805,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),xn)
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47804,c_51]) ).
tcf(c_47813,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),xm)
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47683,c_3045]) ).
tcf(c_47814,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),xm)
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47813,c_50]) ).
tcf(c_47822,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),xl)
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47682,c_3046]) ).
tcf(c_47823,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),xl)
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47822,c_49]) ).
tcf(c_47831,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_47673,c_3036]) ).
tcf(c_47832,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47831,c_103]) ).
tcf(c_47848,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1)) ),
inference(light_normalisation,[status(thm)],[c_47702,c_41508]) ).
tcf(c_47849,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47848,c_41362]) ).
tcf(c_47856,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0)) ),
inference(light_normalisation,[status(thm)],[c_47701,c_41287]) ).
tcf(c_47857,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47856,c_40684]) ).
tcf(c_47880,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_47689,c_3894]) ).
tcf(c_47881,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47880,c_2518]) ).
tcf(c_47947,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)))
| ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_89]) ).
tcf(c_47949,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_27527]) ).
tcf(c_47950,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_18982]) ).
tcf(c_47951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_18291]) ).
tcf(c_47952,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_15630]) ).
tcf(c_47954,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20753,c_91]) ).
tcf(c_47955,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_5229]) ).
tcf(c_47956,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_90]) ).
tcf(c_47959,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sdtpldt0(xl,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xp),sz00),X0) ),
inference(superposition,[status(thm)],[c_20753,c_87]) ).
tcf(c_47960,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_85]) ).
tcf(c_47961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sdtpldt0(xl,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_87]) ).
tcf(c_47962,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20753,c_92]) ).
tcf(c_47963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(superposition,[status(thm)],[c_20753,c_89]) ).
tcf(c_47964,plain,
( ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47960,c_22696,c_16905]) ).
tcf(c_47969,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47954,c_16911,c_16905]) ).
tcf(c_47974,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47962,c_16905]) ).
tcf(c_47980,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47952,c_2614,c_16905]) ).
tcf(c_47986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47963,c_16905]) ).
tcf(c_47993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47961,c_16911,c_16905]) ).
tcf(c_47999,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xp),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47959,c_16911,c_16905]) ).
tcf(c_48005,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)))
| ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47947,c_16905]) ).
tcf(c_48012,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47949,c_2614,c_16905]) ).
tcf(c_48019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47951,c_16911,c_2614,c_16905]) ).
tcf(c_48027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xp),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ( sK3(sdtpldt0(xl,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47950,c_2614,c_16905]) ).
tcf(c_48060,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_48061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41509,c_70]) ).
tcf(c_48062,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_41509,c_24035]) ).
tcf(c_48063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41509,c_17825]) ).
tcf(c_48064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_41509,c_17392]) ).
tcf(c_48065,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_41509,c_14477]) ).
tcf(c_48066,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41509,c_5155]) ).
tcf(c_48071,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41509,c_145]) ).
tcf(c_48073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),X0) ),
inference(superposition,[status(thm)],[c_41509,c_70]) ).
tcf(c_48074,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ( sdtpldt0(sdtpldt0(xn,sK1),X0) != sdtpldt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_41509,c_76]) ).
tcf(c_48075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(sdtpldt0(xn,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41509,c_68]) ).
tcf(c_48076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK1),X0),sdtpldt0(xn,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_41509,c_68]) ).
tcf(c_48078,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_41509,c_77]) ).
tcf(c_48079,plain,
sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_48071,c_103,c_41362]) ).
tcf(c_48080,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48066,c_103,c_41362]) ).
tcf(c_48083,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48078,c_103,c_41362]) ).
tcf(c_48087,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sK1),X0) != sdtpldt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48074,c_103,c_41362]) ).
tcf(c_48092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(sdtpldt0(xn,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48075,c_103,c_41362]) ).
tcf(c_48097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48073,c_103,c_41362]) ).
tcf(c_48102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48061,c_103,c_41362]) ).
tcf(c_48107,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48065,c_103,c_41362]) ).
tcf(c_48112,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48062,c_103,c_41362]) ).
tcf(c_48118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48064,c_103,c_41362]) ).
tcf(c_48126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48063,c_103,c_41362]) ).
tcf(c_48176,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_48079,c_8700]) ).
tcf(c_48179,plain,
( ( sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_48079,c_73]) ).
tcf(c_48180,plain,
sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),sdtpldt0(xn,sK1))) = sdtpldt0(xn,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_48179,c_41362]) ).
tcf(c_48182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41659,c_70]) ).
tcf(c_48184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_41659,c_17825]) ).
tcf(c_48185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41659,c_17392]) ).
tcf(c_48186,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_41659,c_14477]) ).
tcf(c_48192,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41659,c_145]) ).
tcf(c_48194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41659,c_70]) ).
tcf(c_48195,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_41659,c_76]) ).
tcf(c_48196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_41659,c_68]) ).
tcf(c_48197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41659,c_68]) ).
tcf(c_48199,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_41659,c_77]) ).
tcf(c_48200,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41659,c_47638]) ).
tcf(c_48201,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_41879]) ).
tcf(c_48202,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_46832]) ).
tcf(c_48203,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_43963]) ).
tcf(c_48204,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_43470]) ).
tcf(c_48205,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_43085]) ).
tcf(c_48206,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_42039]) ).
tcf(c_48207,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_35146]) ).
tcf(c_48208,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_26041]) ).
tcf(c_48209,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_26044]) ).
tcf(c_48210,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,xp)),sz00) ),
inference(superposition,[status(thm)],[c_41659,c_26052]) ).
tcf(c_48211,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_15930]) ).
tcf(c_48212,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_15792]) ).
tcf(c_48213,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_24215]) ).
tcf(c_48214,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_24215]) ).
tcf(c_48215,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_15931]) ).
tcf(c_48216,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_24885]) ).
tcf(c_48217,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_15793]) ).
tcf(c_48218,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_41659,c_8652]) ).
tcf(c_48219,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_45030]) ).
tcf(c_48220,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_48192,c_103,c_41576]) ).
tcf(c_48221,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48199,c_103,c_41576]) ).
tcf(c_48225,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48195,c_103,c_41576]) ).
tcf(c_48229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48194,c_103,c_41576]) ).
tcf(c_48235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48197,c_103,c_41576]) ).
tcf(c_48240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48196,c_103,c_41576]) ).
tcf(c_48245,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48186,c_103,c_41576]) ).
tcf(c_48250,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,xp) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48218,c_41576]) ).
tcf(c_48255,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48217,c_41576]) ).
tcf(c_48261,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48215,c_41576]) ).
tcf(c_48267,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48214,c_41659]) ).
tcf(c_48268,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48267,c_41576]) ).
tcf(c_48276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48184,c_103,c_41576]) ).
tcf(c_48284,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48212,c_41576]) ).
tcf(c_48291,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48211,c_41576]) ).
tcf(c_48298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48185,c_103,c_41576]) ).
tcf(c_48313,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48210,c_41659]) ).
tcf(c_48314,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48313,c_41576]) ).
tcf(c_48320,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48209,c_41659]) ).
tcf(c_48321,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48320,c_41576]) ).
tcf(c_48328,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48207,c_41576]) ).
tcf(c_48336,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48208,c_41659]) ).
tcf(c_48337,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48336,c_41576]) ).
tcf(c_48345,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48202,c_41659]) ).
tcf(c_48346,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48345,c_41576]) ).
tcf(c_48353,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp)) ),
inference(light_normalisation,[status(thm)],[c_48200,c_41659]) ).
tcf(c_48354,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48353,c_41576]) ).
tcf(c_48361,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48206,c_41659]) ).
tcf(c_48362,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48361,c_41576]) ).
tcf(c_48370,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48205,c_41576]) ).
tcf(c_48378,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48204,c_41576]) ).
tcf(c_48386,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48203,c_41576]) ).
tcf(c_48393,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48219,c_41659]) ).
tcf(c_48394,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48393,c_41576]) ).
tcf(c_48403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48201,c_41659]) ).
tcf(c_48404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48403,c_41576]) ).
tcf(c_48460,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48220,c_109]) ).
tcf(c_48464,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_48220,c_110]) ).
tcf(c_48465,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48220,c_73]) ).
tcf(c_48466,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_48465,c_103,c_41576]) ).
tcf(c_48467,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48464,c_103,c_41576]) ).
tcf(c_48470,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48460,c_103,c_41576]) ).
tcf(c_48474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41660,c_70]) ).
tcf(c_48475,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_41660,c_24035]) ).
tcf(c_48476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41660,c_17825]) ).
tcf(c_48477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_41660,c_17392]) ).
tcf(c_48478,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_41660,c_14477]) ).
tcf(c_48479,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41660,c_5155]) ).
tcf(c_48484,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41660,c_145]) ).
tcf(c_48486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_41660,c_70]) ).
tcf(c_48487,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_41660,c_76]) ).
tcf(c_48488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41660,c_68]) ).
tcf(c_48489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_41660,c_68]) ).
tcf(c_48491,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_41660,c_77]) ).
tcf(c_48492,plain,
sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_48484,c_103,c_41576]) ).
tcf(c_48493,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48479,c_103,c_41576]) ).
tcf(c_48496,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48491,c_103,c_41576]) ).
tcf(c_48500,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48487,c_103,c_41576]) ).
tcf(c_48505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48488,c_103,c_41576]) ).
tcf(c_48510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48486,c_103,c_41576]) ).
tcf(c_48515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48474,c_103,c_41576]) ).
tcf(c_48520,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48478,c_103,c_41576]) ).
tcf(c_48525,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48475,c_103,c_41576]) ).
tcf(c_48531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48477,c_103,c_41576]) ).
tcf(c_48539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48476,c_103,c_41576]) ).
tcf(c_48590,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_48492,c_8700]) ).
tcf(c_48593,plain,
( ( sdtpldt0(sdtpldt0(xn,xp),sK2(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48492,c_73]) ).
tcf(c_48594,plain,
sdtpldt0(sdtpldt0(xn,xp),sK2(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_48593,c_41576]) ).
tcf(c_48596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xq)),sdtpldt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42808,c_70]) ).
tcf(c_48598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_42808,c_17825]) ).
tcf(c_48599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42808,c_17392]) ).
tcf(c_48600,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_42808,c_14477]) ).
tcf(c_48606,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42808,c_145]) ).
tcf(c_48608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42808,c_70]) ).
tcf(c_48609,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_42808,c_76]) ).
tcf(c_48610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_42808,c_68]) ).
tcf(c_48611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42808,c_68]) ).
tcf(c_48613,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(X0,sdtpldt0(xn,xq)) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_42808,c_77]) ).
tcf(c_48614,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42808,c_47638]) ).
tcf(c_48615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_41879]) ).
tcf(c_48616,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_46832]) ).
tcf(c_48617,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_43963]) ).
tcf(c_48618,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_43470]) ).
tcf(c_48619,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_43085]) ).
tcf(c_48620,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_42039]) ).
tcf(c_48621,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_35146]) ).
tcf(c_48622,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_26041]) ).
tcf(c_48623,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_26044]) ).
tcf(c_48624,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,xq)),sz00) ),
inference(superposition,[status(thm)],[c_42808,c_26052]) ).
tcf(c_48625,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_15930]) ).
tcf(c_48627,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_24215]) ).
tcf(c_48628,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xn,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_24215]) ).
tcf(c_48629,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_15931]) ).
tcf(c_48630,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_24885]) ).
tcf(c_48631,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_15793]) ).
tcf(c_48632,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_42808,c_8652]) ).
tcf(c_48633,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_45030]) ).
tcf(c_48634,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_48606,c_103,c_42683]) ).
tcf(c_48635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xq)) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48613,c_103,c_42683]) ).
tcf(c_48639,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48609,c_103,c_42683]) ).
tcf(c_48643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sdtpldt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48608,c_103,c_42683]) ).
tcf(c_48649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48611,c_103,c_42683]) ).
tcf(c_48654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48610,c_103,c_42683]) ).
tcf(c_48659,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48600,c_103,c_42683]) ).
tcf(c_48664,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xn,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48632,c_42683]) ).
tcf(c_48669,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48631,c_42683]) ).
tcf(c_48675,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48629,c_42683]) ).
tcf(c_48681,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48628,c_42808]) ).
tcf(c_48682,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48681,c_42683]) ).
tcf(c_48690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48598,c_103,c_42683]) ).
tcf(c_48698,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48625,c_42683]) ).
tcf(c_48705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48599,c_103,c_42683]) ).
tcf(c_48720,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48624,c_42808]) ).
tcf(c_48721,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48720,c_42683]) ).
tcf(c_48727,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48623,c_42808]) ).
tcf(c_48728,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48727,c_42683]) ).
tcf(c_48735,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48621,c_42683]) ).
tcf(c_48743,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48622,c_42808]) ).
tcf(c_48744,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48743,c_42683]) ).
tcf(c_48752,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48616,c_42808]) ).
tcf(c_48753,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48752,c_42683]) ).
tcf(c_48760,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq)) ),
inference(light_normalisation,[status(thm)],[c_48614,c_42808]) ).
tcf(c_48761,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48760,c_42683]) ).
tcf(c_48768,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48620,c_42808]) ).
tcf(c_48769,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48768,c_42683]) ).
tcf(c_48777,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48619,c_42683]) ).
tcf(c_48785,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48618,c_42683]) ).
tcf(c_48793,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48617,c_42683]) ).
tcf(c_48800,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48633,c_42808]) ).
tcf(c_48801,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48800,c_42683]) ).
tcf(c_48810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_48615,c_42808]) ).
tcf(c_48811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48810,c_42683]) ).
tcf(c_49046,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_48634,c_109]) ).
tcf(c_49050,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_48634,c_110]) ).
tcf(c_49051,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_48634,c_73]) ).
tcf(c_49052,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_49051,c_103,c_42683]) ).
tcf(c_49053,plain,
( ( sdtpldt0(xn,xq) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49050,c_103,c_42683]) ).
tcf(c_49056,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49046,c_103,c_42683]) ).
tcf(c_49060,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_24932,c_8631,c_24932]) ).
tcf(c_49061,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_49060]) ).
tcf(c_49079,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_84,c_49061]) ).
tcf(c_49080,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,sz00),sK2(sdtpldt0(sz00,sz00),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_49061]) ).
tcf(c_49084,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sdtpldt0(sdtpldt0(sz00,xn),sK2(sdtpldt0(sz00,xn),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_49061]) ).
tcf(c_49085,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sdtpldt0(sdtpldt0(sz00,sK0),sK2(sdtpldt0(sz00,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_49061]) ).
tcf(c_49086,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sdtpldt0(sdtpldt0(sz00,sK1),sK2(sdtpldt0(sz00,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_49061]) ).
tcf(c_49088,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sdtpldt0(sdtpldt0(sz00,xq),sK2(sdtpldt0(sz00,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_49061]) ).
tcf(c_49113,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49088,c_2476]) ).
tcf(c_49121,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sdtpldt0(sK1,sK2(sK1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49086,c_2474]) ).
tcf(c_49129,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sdtpldt0(sK0,sK2(sK0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49085,c_2473]) ).
tcf(c_49137,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sdtpldt0(xn,sK2(xn,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49084,c_2472]) ).
tcf(c_49145,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49080,c_2465]) ).
tcf(c_49152,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49079,c_103]) ).
tcf(c_49182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_89]) ).
tcf(c_49184,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_27527]) ).
tcf(c_49185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_18982]) ).
tcf(c_49186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_18291]) ).
tcf(c_49187,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_15630]) ).
tcf(c_49189,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20758,c_91]) ).
tcf(c_49190,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_5229]) ).
tcf(c_49191,plain,
( ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_90]) ).
tcf(c_49194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_20758,c_87]) ).
tcf(c_49195,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_85]) ).
tcf(c_49196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sdtpldt0(xl,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_87]) ).
tcf(c_49197,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20758,c_92]) ).
tcf(c_49198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_20758,c_89]) ).
tcf(c_49199,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49195,c_22696,c_16905]) ).
tcf(c_49204,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xl,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49189,c_16911,c_16905]) ).
tcf(c_49209,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49197,c_16905]) ).
tcf(c_49215,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49187,c_2614,c_16905]) ).
tcf(c_49221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))),sz00)
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49198,c_16905]) ).
tcf(c_49228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49196,c_16911,c_16905]) ).
tcf(c_49234,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xp),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49194,c_16911,c_16905]) ).
tcf(c_49240,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49182,c_16905]) ).
tcf(c_49247,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49184,c_2614,c_16905]) ).
tcf(c_49254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49186,c_16911,c_2614,c_16905]) ).
tcf(c_49262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49185,c_2614,c_16905]) ).
tcf(c_49271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42809,c_70]) ).
tcf(c_49272,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_42809,c_24035]) ).
tcf(c_49273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42809,c_17825]) ).
tcf(c_49274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_42809,c_17392]) ).
tcf(c_49275,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_42809,c_14477]) ).
tcf(c_49281,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42809,c_145]) ).
tcf(c_49283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_42809,c_70]) ).
tcf(c_49284,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(sdtpldt0(xn,xq),X0) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_42809,c_76]) ).
tcf(c_49285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42809,c_68]) ).
tcf(c_49286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),X0),sdtpldt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42809,c_68]) ).
tcf(c_49288,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_42809,c_77]) ).
tcf(c_49289,plain,
sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_49281,c_103,c_42683]) ).
tcf(c_49290,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49288,c_103,c_42683]) ).
tcf(c_49294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xq),X0) != sdtpldt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49284,c_103,c_42683]) ).
tcf(c_49299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(sdtpldt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49285,c_103,c_42683]) ).
tcf(c_49304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49283,c_103,c_42683]) ).
tcf(c_49309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xq))
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49271,c_103,c_42683]) ).
tcf(c_49314,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49275,c_103,c_42683]) ).
tcf(c_49319,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49272,c_103,c_42683]) ).
tcf(c_49325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49274,c_103,c_42683]) ).
tcf(c_49333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49273,c_103,c_42683]) ).
tcf(c_49409,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_49289,c_8700]) ).
tcf(c_49412,plain,
( ( sdtpldt0(sdtpldt0(xn,xq),sK2(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_49289,c_73]) ).
tcf(c_49413,plain,
sdtpldt0(sdtpldt0(xn,xq),sK2(sdtpldt0(xn,xq),sdtpldt0(xn,xq))) = sdtpldt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_49412,c_42683]) ).
tcf(c_49423,plain,
sdtpldt0(sK0,sK1) = sdtpldt0(sK1,sK0),
inference(superposition,[status(thm)],[c_55,c_2702]) ).
tcf(c_49424,plain,
sdtpldt0(sK0,xp) = sdtpldt0(xp,sK0),
inference(superposition,[status(thm)],[c_59,c_2702]) ).
tcf(c_49425,plain,
sdtpldt0(sK0,xq) = sdtpldt0(xq,sK0),
inference(superposition,[status(thm)],[c_62,c_2702]) ).
tcf(c_49426,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(sK0,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2702]) ).
tcf(c_49427,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),sK0) = sdtpldt0(sK0,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2702]) ).
tcf(c_49428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sK0) = sdtpldt0(sK0,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2702]) ).
tcf(c_49429,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),sK0) = sdtpldt0(sK0,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2702]) ).
tcf(c_49430,plain,
sdtpldt0(sK0,sz00) = sdtpldt0(sz00,sK0),
inference(superposition,[status(thm)],[c_103,c_2702]) ).
tcf(c_49431,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sK0) = sdtpldt0(sK0,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2702]) ).
tcf(c_49432,plain,
sdtpldt0(sdtasdt0(xl,xq),sK0) = sdtpldt0(sK0,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2702]) ).
tcf(c_49433,plain,
sdtpldt0(sdtpldt0(xl,xm),sK0) = sdtpldt0(sK0,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2702]) ).
tcf(c_49434,plain,
sdtpldt0(sdtpldt0(xl,xn),sK0) = sdtpldt0(sK0,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2702]) ).
tcf(c_49435,plain,
sdtpldt0(sdtpldt0(xl,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2702]) ).
tcf(c_49436,plain,
sdtpldt0(sdtpldt0(xl,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2702]) ).
tcf(c_49437,plain,
sdtpldt0(sdtpldt0(xl,xp),sK0) = sdtpldt0(sK0,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2702]) ).
tcf(c_49438,plain,
sdtpldt0(sdtpldt0(xl,xq),sK0) = sdtpldt0(sK0,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2702]) ).
tcf(c_49439,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2702]) ).
tcf(c_49440,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2702]) ).
tcf(c_49441,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2702]) ).
tcf(c_49442,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2702]) ).
tcf(c_49443,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2702]) ).
tcf(c_49444,plain,
sdtpldt0(sdtpldt0(xm,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2702]) ).
tcf(c_49445,plain,
sdtpldt0(sdtpldt0(xm,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2702]) ).
tcf(c_49446,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2702]) ).
tcf(c_49447,plain,
sdtpldt0(sdtpldt0(xm,xp),sK0) = sdtpldt0(sK0,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2702]) ).
tcf(c_49448,plain,
sdtpldt0(sdtpldt0(xm,xq),sK0) = sdtpldt0(sK0,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2702]) ).
tcf(c_49449,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2702]) ).
tcf(c_49450,plain,
sdtpldt0(sdtpldt0(xn,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2702]) ).
tcf(c_49451,plain,
sdtpldt0(sdtpldt0(xn,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2702]) ).
tcf(c_49452,plain,
sdtpldt0(sdtpldt0(xn,xp),sK0) = sdtpldt0(sK0,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2702]) ).
tcf(c_49453,plain,
sdtpldt0(sdtpldt0(xn,xq),sK0) = sdtpldt0(sK0,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2702]) ).
tcf(c_49474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sdtpldt0(sK0,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_49423,c_70]) ).
tcf(c_49475,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49423,c_24035]) ).
tcf(c_49476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49423,c_17825]) ).
tcf(c_49477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49423,c_17392]) ).
tcf(c_49478,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49423,c_14477]) ).
tcf(c_49479,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49423,c_5155]) ).
tcf(c_49482,plain,
( ( sK0 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ( sdtpldt0(sK0,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_49423,c_75]) ).
tcf(c_49483,plain,
( ( sK1 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ( sdtpldt0(sK0,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_49423,c_74]) ).
tcf(c_49484,plain,
( sdtlseqdt0(sK1,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49423,c_145]) ).
tcf(c_49485,plain,
( aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49423,c_84]) ).
tcf(c_49486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(X0,sK0))
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_49423,c_70]) ).
tcf(c_49487,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_49423,c_76]) ).
tcf(c_49488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sK1,X0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_49423,c_68]) ).
tcf(c_49489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(sK0,sK1))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_49423,c_68]) ).
tcf(c_49490,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,sK0) ),
inference(superposition,[status(thm)],[c_49423,c_98]) ).
tcf(c_49491,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK0) != sdtpldt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_49423,c_77]) ).
tcf(c_49492,plain,
aNaturalNumber0(sdtpldt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_49485,c_55,c_52]) ).
tcf(c_49493,plain,
sdtlseqdt0(sK1,sdtpldt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_49484,c_55,c_52]) ).
tcf(c_49494,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49479,c_55,c_52]) ).
tcf(c_49497,plain,
( ( sK1 = sz00 )
| ( sdtpldt0(sK0,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49483,c_55,c_52]) ).
tcf(c_49500,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(sK0,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49482,c_55,c_52]) ).
tcf(c_49503,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK0) != sdtpldt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49491,c_55,c_52]) ).
tcf(c_49507,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK1)
| ~ doDivides0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49490,c_55,c_52]) ).
tcf(c_49512,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49487,c_55,c_52]) ).
tcf(c_49516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(sK0,sK1))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49489,c_55,c_52]) ).
tcf(c_49521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sK1,X0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49488,c_55,c_52]) ).
tcf(c_49526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(X0,sK0))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49486,c_55,c_52]) ).
tcf(c_49531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sdtpldt0(sK0,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49474,c_55,c_52]) ).
tcf(c_49536,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49478,c_55,c_52]) ).
tcf(c_49541,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49475,c_55,c_52]) ).
tcf(c_49547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49477,c_55,c_52]) ).
tcf(c_49555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49476,c_55,c_52]) ).
tcf(c_49574,plain,
( ( sdtasdt0(xm,sK3(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_36707,c_102]) ).
tcf(c_49575,plain,
sdtasdt0(xm,sK3(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49574,c_103,c_50]) ).
tcf(c_49613,plain,
sdtpldt0(sdtpldt0(sK0,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2702]) ).
tcf(c_49614,plain,
sdtpldt0(sdtpldt0(sK0,sK1),xn) = sdtpldt0(xn,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2701]) ).
tcf(c_49615,plain,
sdtpldt0(sdtpldt0(sK0,sK1),xm) = sdtpldt0(xm,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2700]) ).
tcf(c_49616,plain,
sdtpldt0(sdtpldt0(sK0,sK1),xl) = sdtpldt0(xl,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2699]) ).
tcf(c_49617,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sK0,sK1)),sdtasdt0(X0,sdtpldt0(sK0,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sK0,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49492,c_79]) ).
tcf(c_49618,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sK0,sK1),X1),sdtasdt0(sdtpldt0(sK0,sK1),X0)) = sdtasdt0(sdtpldt0(sK0,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49492,c_78]) ).
tcf(c_49619,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sK0,sK1),X1),X0) = sdtasdt0(sdtpldt0(sK0,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49492,c_95]) ).
tcf(c_49620,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sK0,sK1),X1),X0) = sdtpldt0(sdtpldt0(sK0,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49492,c_82]) ).
tcf(c_49621,plain,
! [X0: $i] :
( ( sdtpldt0(sK0,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sK0,sK1),X0),sdtpldt0(sK0,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49492,c_152]) ).
tcf(c_49622,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sK0,sK1),X0) = sdtasdt0(X0,sdtpldt0(sK0,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49492,c_96]) ).
tcf(c_49623,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sK0,sK1),X0) = sdtpldt0(X0,sdtpldt0(sK0,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49492,c_83]) ).
tcf(c_49624,plain,
sdtasdt0(sz00,sdtpldt0(sK0,sK1)) = sz00,
inference(superposition,[status(thm)],[c_49492,c_94]) ).
tcf(c_49625,plain,
sdtasdt0(sdtpldt0(sK0,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_49492,c_93]) ).
tcf(c_49626,plain,
sdtpldt0(sz00,sdtpldt0(sK0,sK1)) = sdtpldt0(sK0,sK1),
inference(superposition,[status(thm)],[c_49492,c_81]) ).
tcf(c_49627,plain,
sdtpldt0(sdtpldt0(sK0,sK1),sz00) = sdtpldt0(sK0,sK1),
inference(superposition,[status(thm)],[c_49492,c_80]) ).
tcf(c_49708,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49493,c_109]) ).
tcf(c_49709,plain,
( sdtlseqdt0(sz00,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49493,c_11962]) ).
tcf(c_49710,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49493,c_8700]) ).
tcf(c_49712,plain,
( ( sdtpldt0(sK0,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sK1) ),
inference(superposition,[status(thm)],[c_49493,c_110]) ).
tcf(c_49713,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49493,c_73]) ).
tcf(c_49714,plain,
sdtpldt0(sK1,sK2(sK1,sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_49713,c_55,c_49492]) ).
tcf(c_49715,plain,
( ( sdtpldt0(sK0,sK1) = sK1 )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49712,c_55,c_49492]) ).
tcf(c_49718,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49708,c_55,c_49492]) ).
tcf(c_49722,plain,
( sdtlseqdt0(sz00,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49709,c_55,c_49492]) ).
tcf(c_49729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_49424,c_70]) ).
tcf(c_49730,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49424,c_24035]) ).
tcf(c_49731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49424,c_17825]) ).
tcf(c_49732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49424,c_17392]) ).
tcf(c_49733,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49424,c_14477]) ).
tcf(c_49734,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49424,c_5155]) ).
tcf(c_49737,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ( sdtpldt0(xp,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49424,c_75]) ).
tcf(c_49738,plain,
( ( sK0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ( sdtpldt0(xp,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49424,c_74]) ).
tcf(c_49739,plain,
( sdtlseqdt0(sK0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49424,c_145]) ).
tcf(c_49740,plain,
( aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49424,c_84]) ).
tcf(c_49741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(X0,xp))
| ( X0 = sK0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_49424,c_70]) ).
tcf(c_49742,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_49424,c_76]) ).
tcf(c_49743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(sK0,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_49424,c_68]) ).
tcf(c_49744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xp,sK0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_49424,c_68]) ).
tcf(c_49745,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sK0) ),
inference(superposition,[status(thm)],[c_49424,c_98]) ).
tcf(c_49746,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_49424,c_77]) ).
tcf(c_49747,plain,
aNaturalNumber0(sdtpldt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_49740,c_59,c_52]) ).
tcf(c_49748,plain,
sdtlseqdt0(sK0,sdtpldt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_49739,c_59,c_52]) ).
tcf(c_49749,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49734,c_59,c_52]) ).
tcf(c_49752,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(xp,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49738,c_59,c_52]) ).
tcf(c_49755,plain,
( ( sz00 = xp )
| ( sdtpldt0(xp,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49737,c_59,c_52]) ).
tcf(c_49758,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49746,c_59,c_52]) ).
tcf(c_49762,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49745,c_59,c_52]) ).
tcf(c_49767,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49742,c_59,c_52]) ).
tcf(c_49771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xp,sK0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49744,c_59,c_52]) ).
tcf(c_49776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(sK0,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49743,c_59,c_52]) ).
tcf(c_49781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(X0,xp))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49741,c_59,c_52]) ).
tcf(c_49786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49729,c_59,c_52]) ).
tcf(c_49791,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49733,c_59,c_52]) ).
tcf(c_49796,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49730,c_59,c_52]) ).
tcf(c_49802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49732,c_59,c_52]) ).
tcf(c_49810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49731,c_59,c_52]) ).
tcf(c_49826,plain,
~ sdtlseqdt0(xm,sz00),
inference(global_subsumption_just,[status(thm)],[c_36908,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_3312,c_3882,c_7313]) ).
tcf(c_49861,plain,
sdtpldt0(sdtpldt0(xp,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2702]) ).
tcf(c_49862,plain,
sdtpldt0(sdtpldt0(xp,sK0),xn) = sdtpldt0(xn,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2701]) ).
tcf(c_49863,plain,
sdtpldt0(sdtpldt0(xp,sK0),xm) = sdtpldt0(xm,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2700]) ).
tcf(c_49864,plain,
sdtpldt0(sdtpldt0(xp,sK0),xl) = sdtpldt0(xl,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2699]) ).
tcf(c_49865,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,sK0)),sdtasdt0(X0,sdtpldt0(xp,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49747,c_79]) ).
tcf(c_49866,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK0),X1),sdtasdt0(sdtpldt0(xp,sK0),X0)) = sdtasdt0(sdtpldt0(xp,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49747,c_78]) ).
tcf(c_49867,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK0),X1),X0) = sdtasdt0(sdtpldt0(xp,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49747,c_95]) ).
tcf(c_49868,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK0),X1),X0) = sdtpldt0(sdtpldt0(xp,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49747,c_82]) ).
tcf(c_49869,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK0),X0),sdtpldt0(xp,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49747,c_152]) ).
tcf(c_49870,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK0),X0) = sdtasdt0(X0,sdtpldt0(xp,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49747,c_96]) ).
tcf(c_49871,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK0),X0) = sdtpldt0(X0,sdtpldt0(xp,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49747,c_83]) ).
tcf(c_49872,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK0)) = sz00,
inference(superposition,[status(thm)],[c_49747,c_94]) ).
tcf(c_49873,plain,
sdtasdt0(sdtpldt0(xp,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_49747,c_93]) ).
tcf(c_49874,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK0)) = sdtpldt0(xp,sK0),
inference(superposition,[status(thm)],[c_49747,c_81]) ).
tcf(c_49875,plain,
sdtpldt0(sdtpldt0(xp,sK0),sz00) = sdtpldt0(xp,sK0),
inference(superposition,[status(thm)],[c_49747,c_80]) ).
tcf(c_49955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_46895,c_8631,c_46895]) ).
tcf(c_49956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_49955]) ).
tcf(c_49976,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_49956]) ).
tcf(c_49977,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_3036,c_49956]) ).
tcf(c_49980,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_49956]) ).
tcf(c_49981,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_49956]) ).
tcf(c_49982,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_49956]) ).
tcf(c_49984,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_49956]) ).
tcf(c_49986,plain,
( sdtlseqdt0(sdtpldt0(xq,xl),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl))) ),
inference(superposition,[status(thm)],[c_3046,c_49956]) ).
tcf(c_49987,plain,
( sdtlseqdt0(sdtpldt0(xq,xm),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm))) ),
inference(superposition,[status(thm)],[c_3045,c_49956]) ).
tcf(c_49988,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_49956]) ).
tcf(c_49989,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_49956]) ).
tcf(c_49990,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_49956]) ).
tcf(c_49991,plain,
( sdtlseqdt0(sdtpldt0(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_49956]) ).
tcf(c_49992,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_49956]) ).
tcf(c_49993,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_3894,c_49956]) ).
tcf(c_50005,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_49956]) ).
tcf(c_50006,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_49956]) ).
tcf(c_50007,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_49956]) ).
tcf(c_50008,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_49956]) ).
tcf(c_50009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,X1))) ),
inference(superposition,[status(thm)],[c_49956,c_109]) ).
tcf(c_50013,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_49956,c_110]) ).
tcf(c_50014,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_49956,c_73]) ).
tcf(c_50015,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_109]) ).
tcf(c_50016,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_11962]) ).
tcf(c_50018,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_3979]) ).
tcf(c_50019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_49956,c_110]) ).
tcf(c_50020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_73]) ).
tcf(c_50021,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_12182]) ).
tcf(c_50022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_49956,c_8702]) ).
tcf(c_50023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_5910]) ).
tcf(c_50024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_47638]) ).
tcf(c_50026,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49984,c_2476]) ).
tcf(c_50027,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50026,c_62]) ).
tcf(c_50035,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49982,c_2474]) ).
tcf(c_50036,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50035,c_55]) ).
tcf(c_50044,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49981,c_2473]) ).
tcf(c_50045,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50044,c_52]) ).
tcf(c_50053,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49980,c_2472,c_39902]) ).
tcf(c_50054,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50053,c_51]) ).
tcf(c_50062,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49976,c_2464,c_2465]) ).
tcf(c_50063,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49992,c_3040]) ).
tcf(c_50064,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50063,c_62]) ).
tcf(c_50073,plain,
( sdtlseqdt0(sdtpldt0(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49991,c_3041]) ).
tcf(c_50074,plain,
( sdtlseqdt0(sdtpldt0(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50073,c_59]) ).
tcf(c_50083,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49990,c_3042]) ).
tcf(c_50084,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50083,c_55]) ).
tcf(c_50093,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49989,c_3043]) ).
tcf(c_50094,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50093,c_52]) ).
tcf(c_50103,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49988,c_3044,c_39902]) ).
tcf(c_50104,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50103,c_51]) ).
tcf(c_50113,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49987,c_3045,c_26865]) ).
tcf(c_50114,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50113,c_50]) ).
tcf(c_50123,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49986,c_3046,c_14300]) ).
tcf(c_50124,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50123,c_49]) ).
tcf(c_50133,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,sz00),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_49977,c_2464,c_3036]) ).
tcf(c_50134,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_50008,c_42808]) ).
tcf(c_50135,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50134,c_42683]) ).
tcf(c_50143,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_50007,c_41659]) ).
tcf(c_50144,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50143,c_41576]) ).
tcf(c_50152,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_50006,c_41508]) ).
tcf(c_50153,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50152,c_41362]) ).
tcf(c_50161,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_50005,c_41287]) ).
tcf(c_50162,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50161,c_40684]) ).
tcf(c_50182,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_49993,c_3894]) ).
tcf(c_50183,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50182,c_2518]) ).
tcf(c_50204,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50009,c_59]) ).
tcf(c_50242,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50014,c_59]) ).
tcf(c_50253,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50013,c_59]) ).
tcf(c_50386,plain,
( sdtlseqdt0(xm,sz00)
| ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(superposition,[status(thm)],[c_49575,c_85]) ).
tcf(c_50390,plain,
( ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50386,c_49826,c_50]) ).
tcf(c_50431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_50022,c_8631,c_46894]) ).
tcf(c_50432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_50431]) ).
tcf(c_50456,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_50432]) ).
tcf(c_50457,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50456,c_103]) ).
tcf(c_50471,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_28686,c_8631,c_28686]) ).
tcf(c_50472,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_50471]) ).
tcf(c_50491,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32039,c_109]) ).
tcf(c_50492,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32039,c_11962]) ).
tcf(c_50493,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_32039,c_8700]) ).
tcf(c_50495,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xq )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xq) ),
inference(superposition,[status(thm)],[c_32039,c_110]) ).
tcf(c_50496,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32039,c_73]) ).
tcf(c_50498,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50491,c_62]) ).
tcf(c_50509,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50492,c_62]) ).
tcf(c_50520,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50496,c_62]) ).
tcf(c_50529,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xq )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50495,c_62]) ).
tcf(c_50539,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50493,c_62]) ).
tcf(c_50559,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40063,c_84]) ).
tcf(c_50582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_109]) ).
tcf(c_50583,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_11962]) ).
tcf(c_50584,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_50559,c_8700]) ).
tcf(c_50585,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_3979]) ).
tcf(c_50586,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_50559,c_110]) ).
tcf(c_50587,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))) = sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_73]) ).
tcf(c_50588,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_12182]) ).
tcf(c_50589,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_50559,c_8702]) ).
tcf(c_50590,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_5910]) ).
tcf(c_50739,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_50584,c_8631,c_50584]) ).
tcf(c_50740,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(renaming,[status(thm)],[c_50739]) ).
tcf(c_50761,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_108,c_50740]) ).
tcf(c_50763,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50761,c_103]) ).
tcf(c_50773,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)))
| ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_89]) ).
tcf(c_50775,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_27527]) ).
tcf(c_50776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_18982]) ).
tcf(c_50777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_18291]) ).
tcf(c_50778,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_15630]) ).
tcf(c_50780,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20830,c_91]) ).
tcf(c_50781,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_5229]) ).
tcf(c_50782,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_90]) ).
tcf(c_50785,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sdtpldt0(xl,xq) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xq),sz00),X0) ),
inference(superposition,[status(thm)],[c_20830,c_87]) ).
tcf(c_50786,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_85]) ).
tcf(c_50787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sdtpldt0(xl,xq) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_87]) ).
tcf(c_50788,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20830,c_92]) ).
tcf(c_50789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(superposition,[status(thm)],[c_20830,c_89]) ).
tcf(c_50790,plain,
( ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50786,c_22983,c_17110]) ).
tcf(c_50795,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50780,c_17115,c_17110]) ).
tcf(c_50800,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50788,c_17110]) ).
tcf(c_50806,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50778,c_2614,c_17110]) ).
tcf(c_50812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50789,c_17110]) ).
tcf(c_50819,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50787,c_17115,c_17110]) ).
tcf(c_50825,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,xq),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50785,c_17115,c_17110]) ).
tcf(c_50831,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)))
| ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50773,c_17110]) ).
tcf(c_50838,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50775,c_2614,c_17110]) ).
tcf(c_50845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,xq),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50777,c_17115,c_2614,c_17110]) ).
tcf(c_50853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,xq),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ( sK3(sdtpldt0(xl,xq),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,xq),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50776,c_2614,c_17110]) ).
tcf(c_50910,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49748,c_109]) ).
tcf(c_50911,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49748,c_11962]) ).
tcf(c_50912,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49748,c_8700]) ).
tcf(c_50914,plain,
( ( sdtpldt0(xp,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sK0) ),
inference(superposition,[status(thm)],[c_49748,c_110]) ).
tcf(c_50915,plain,
( ( sdtpldt0(sK0,sK2(sK0,sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49748,c_73]) ).
tcf(c_50916,plain,
sdtpldt0(sK0,sK2(sK0,sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_50915,c_52,c_49747]) ).
tcf(c_50917,plain,
( ( sdtpldt0(xp,sK0) = sK0 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50914,c_52,c_49747]) ).
tcf(c_50920,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50910,c_52,c_49747]) ).
tcf(c_50924,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50911,c_52,c_49747]) ).
tcf(c_50982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_49425,c_70]) ).
tcf(c_50983,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49425,c_24035]) ).
tcf(c_50984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49425,c_17825]) ).
tcf(c_50985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49425,c_17392]) ).
tcf(c_50986,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49425,c_14477]) ).
tcf(c_50987,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49425,c_5155]) ).
tcf(c_50990,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ( sdtpldt0(xq,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49425,c_75]) ).
tcf(c_50991,plain,
( ( sK0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ( sdtpldt0(xq,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49425,c_74]) ).
tcf(c_50992,plain,
( sdtlseqdt0(sK0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49425,c_145]) ).
tcf(c_50993,plain,
( aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_49425,c_84]) ).
tcf(c_50994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(X0,xq))
| ( X0 = sK0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_49425,c_70]) ).
tcf(c_50995,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_49425,c_76]) ).
tcf(c_50996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(sK0,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_49425,c_68]) ).
tcf(c_50997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xq,sK0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_49425,c_68]) ).
tcf(c_50998,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,sK0) ),
inference(superposition,[status(thm)],[c_49425,c_98]) ).
tcf(c_50999,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_49425,c_77]) ).
tcf(c_51000,plain,
aNaturalNumber0(sdtpldt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_50993,c_62,c_52]) ).
tcf(c_51001,plain,
sdtlseqdt0(sK0,sdtpldt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_50992,c_62,c_52]) ).
tcf(c_51002,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50987,c_62,c_52]) ).
tcf(c_51005,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(xq,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50991,c_62,c_52]) ).
tcf(c_51008,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50990,c_62,c_52]) ).
tcf(c_51011,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50999,c_62,c_52]) ).
tcf(c_51015,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50998,c_62,c_52]) ).
tcf(c_51020,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK0,X0) != sdtpldt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50995,c_62,c_52]) ).
tcf(c_51024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sdtpldt0(xq,sK0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50997,c_62,c_52]) ).
tcf(c_51029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(sK0,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50996,c_62,c_52]) ).
tcf(c_51034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(X0,xq))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50994,c_62,c_52]) ).
tcf(c_51039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50982,c_62,c_52]) ).
tcf(c_51044,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50986,c_62,c_52]) ).
tcf(c_51049,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50983,c_62,c_52]) ).
tcf(c_51055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50985,c_62,c_52]) ).
tcf(c_51063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50984,c_62,c_52]) ).
tcf(c_51170,plain,
sdtpldt0(sdtpldt0(xq,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2702]) ).
tcf(c_51171,plain,
sdtpldt0(sdtpldt0(xq,sK0),xn) = sdtpldt0(xn,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2701]) ).
tcf(c_51172,plain,
sdtpldt0(sdtpldt0(xq,sK0),xm) = sdtpldt0(xm,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2700]) ).
tcf(c_51173,plain,
sdtpldt0(sdtpldt0(xq,sK0),xl) = sdtpldt0(xl,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2699]) ).
tcf(c_51174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xq,sK0)),sdtasdt0(X0,sdtpldt0(xq,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xq,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51000,c_79]) ).
tcf(c_51175,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sK0),X1),sdtasdt0(sdtpldt0(xq,sK0),X0)) = sdtasdt0(sdtpldt0(xq,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51000,c_78]) ).
tcf(c_51176,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sK0),X1),X0) = sdtasdt0(sdtpldt0(xq,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51000,c_95]) ).
tcf(c_51177,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sK0),X1),X0) = sdtpldt0(sdtpldt0(xq,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51000,c_82]) ).
tcf(c_51178,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xq,sK0),X0),sdtpldt0(xq,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51000,c_152]) ).
tcf(c_51179,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sK0),X0) = sdtasdt0(X0,sdtpldt0(xq,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51000,c_96]) ).
tcf(c_51180,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sK0),X0) = sdtpldt0(X0,sdtpldt0(xq,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51000,c_83]) ).
tcf(c_51181,plain,
sdtasdt0(sz00,sdtpldt0(xq,sK0)) = sz00,
inference(superposition,[status(thm)],[c_51000,c_94]) ).
tcf(c_51182,plain,
sdtasdt0(sdtpldt0(xq,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_51000,c_93]) ).
tcf(c_51183,plain,
sdtpldt0(sz00,sdtpldt0(xq,sK0)) = sdtpldt0(xq,sK0),
inference(superposition,[status(thm)],[c_51000,c_81]) ).
tcf(c_51184,plain,
sdtpldt0(sdtpldt0(xq,sK0),sz00) = sdtpldt0(xq,sK0),
inference(superposition,[status(thm)],[c_51000,c_80]) ).
tcf(c_51211,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51001,c_109]) ).
tcf(c_51212,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51001,c_11962]) ).
tcf(c_51213,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_51001,c_8700]) ).
tcf(c_51215,plain,
( ( sdtpldt0(xq,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sK0) ),
inference(superposition,[status(thm)],[c_51001,c_110]) ).
tcf(c_51216,plain,
( ( sdtpldt0(sK0,sK2(sK0,sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51001,c_73]) ).
tcf(c_51217,plain,
( sdtlseqdt0(sK0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51001,c_10288]) ).
tcf(c_51218,plain,
sdtpldt0(sK0,sK2(sK0,sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_51216,c_52,c_51000]) ).
tcf(c_51219,plain,
( ( sdtpldt0(xq,sK0) = sK0 )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51215,c_52,c_51000]) ).
tcf(c_51222,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51211,c_52,c_51000]) ).
tcf(c_51226,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51212,c_52,c_51000]) ).
tcf(c_51232,plain,
( sdtlseqdt0(sK0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51217,c_52,c_51000]) ).
tcf(c_51261,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49494,c_109]) ).
tcf(c_51262,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49494,c_11962]) ).
tcf(c_51263,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49494,c_8700]) ).
tcf(c_51265,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(sK0,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),xq) ),
inference(superposition,[status(thm)],[c_49494,c_110]) ).
tcf(c_51266,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49494,c_73]) ).
tcf(c_51267,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51266,c_62,c_49492]) ).
tcf(c_51270,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(sK0,sK1) = xq )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51265,c_62,c_49492]) ).
tcf(c_51274,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51261,c_62,c_49492]) ).
tcf(c_51279,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51262,c_62,c_49492]) ).
tcf(c_51287,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sK0,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49624,c_89]) ).
tcf(c_51290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49624,c_18982]) ).
tcf(c_51292,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49624,c_15630]) ).
tcf(c_51302,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ( sdtasdt0(X0,sdtpldt0(sK0,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_49624,c_92]) ).
tcf(c_51303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sK0,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49624,c_89]) ).
tcf(c_51304,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sK0,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51302,c_103,c_49492]) ).
tcf(c_51309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sK0,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51303,c_103,c_49492]) ).
tcf(c_51315,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sK0,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51287,c_103,c_49492]) ).
tcf(c_51321,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51292,c_103,c_2614,c_49492]) ).
tcf(c_51326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51290,c_103,c_2614,c_49492]) ).
tcf(c_51368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49625,c_18291]) ).
tcf(c_51371,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ( sdtasdt0(sdtpldt0(sK0,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49625,c_91]) ).
tcf(c_51374,plain,
( doDivides0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49625,c_142]) ).
tcf(c_51376,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49625,c_87]) ).
tcf(c_51378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sK0,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49625,c_87]) ).
tcf(c_51381,plain,
doDivides0(sdtpldt0(sK0,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_51374,c_103,c_49492]) ).
tcf(c_51382,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sK0,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51371,c_103,c_49492]) ).
tcf(c_51387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sK0,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51378,c_103,c_49492]) ).
tcf(c_51393,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51376,c_103,c_49492]) ).
tcf(c_51399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51368,c_103,c_2614,c_49492]) ).
tcf(c_51407,plain,
( ( sdtpldt0(sK0,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(sK0,sK1),sdtsldt0(sz00,sdtpldt0(sK0,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_51381,c_106]) ).
tcf(c_51408,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sK0,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_51381,c_99]) ).
tcf(c_51409,plain,
( ( sdtasdt0(sdtpldt0(sK0,sK1),sK3(sdtpldt0(sK0,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_51381,c_102]) ).
tcf(c_51410,plain,
sdtasdt0(sdtpldt0(sK0,sK1),sK3(sdtpldt0(sK0,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_51409,c_103,c_49492]) ).
tcf(c_51411,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sK0,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51408,c_103,c_49492]) ).
tcf(c_51415,plain,
( ( sdtpldt0(sK0,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(sK0,sK1),sdtsldt0(sz00,sdtpldt0(sK0,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51407,c_103,c_49492]) ).
tcf(c_51429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_50589,c_8631,c_50589]) ).
tcf(c_51430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(renaming,[status(thm)],[c_51429]) ).
tcf(c_51451,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_108,c_51430]) ).
tcf(c_51453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51451,c_103]) ).
tcf(c_51463,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_32087,c_8631,c_32087]) ).
tcf(c_51464,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(renaming,[status(thm)],[c_51463]) ).
tcf(c_51483,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_108,c_51464]) ).
tcf(c_51484,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51483,c_103]) ).
tcf(c_51523,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_42102,c_8631,c_8652,c_8679,c_24189,c_43522]) ).
tcf(c_51524,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_51523]) ).
tcf(c_51550,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_51524]) ).
tcf(c_51551,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_51524]) ).
tcf(c_51552,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_51524]) ).
tcf(c_51556,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl))) ),
inference(superposition,[status(thm)],[c_3046,c_51524]) ).
tcf(c_51557,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm))) ),
inference(superposition,[status(thm)],[c_3045,c_51524]) ).
tcf(c_51558,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_51524]) ).
tcf(c_51559,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK0))) ),
inference(superposition,[status(thm)],[c_3043,c_51524]) ).
tcf(c_51560,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sK1))) ),
inference(superposition,[status(thm)],[c_3042,c_51524]) ).
tcf(c_51563,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_3894,c_51524]) ).
tcf(c_51575,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_41287,c_51524]) ).
tcf(c_51576,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_41508,c_51524]) ).
tcf(c_51577,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_51524]) ).
tcf(c_51578,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_51524]) ).
tcf(c_51579,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_109]) ).
tcf(c_51583,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_110]) ).
tcf(c_51584,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_73]) ).
tcf(c_51585,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),xp)
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_109]) ).
tcf(c_51586,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_11962]) ).
tcf(c_51587,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_51524,c_8700]) ).
tcf(c_51588,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_3979]) ).
tcf(c_51589,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_51524,c_110]) ).
tcf(c_51590,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_73]) ).
tcf(c_51591,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_12182]) ).
tcf(c_51592,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_51524,c_8702]) ).
tcf(c_51593,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_5910]) ).
tcf(c_51594,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_47638]) ).
tcf(c_51595,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_45030]) ).
tcf(c_51596,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51552,c_2474]) ).
tcf(c_51597,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51596,c_55]) ).
tcf(c_51606,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51551,c_2473]) ).
tcf(c_51607,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51606,c_52]) ).
tcf(c_51616,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51550,c_2472]) ).
tcf(c_51617,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51616,c_51]) ).
tcf(c_51626,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51560,c_3042]) ).
tcf(c_51627,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51626,c_55]) ).
tcf(c_51637,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51559,c_3043]) ).
tcf(c_51638,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51637,c_52]) ).
tcf(c_51648,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51558,c_3044]) ).
tcf(c_51649,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51648,c_51]) ).
tcf(c_51659,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51557,c_3045]) ).
tcf(c_51660,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51659,c_50]) ).
tcf(c_51670,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51556,c_3046]) ).
tcf(c_51671,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51670,c_49]) ).
tcf(c_51681,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51578,c_42808]) ).
tcf(c_51682,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51681,c_42683]) ).
tcf(c_51691,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51577,c_41659]) ).
tcf(c_51692,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51691,c_41576]) ).
tcf(c_51701,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51576,c_41508]) ).
tcf(c_51702,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51701,c_41362]) ).
tcf(c_51711,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_51575,c_41287]) ).
tcf(c_51712,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51711,c_40684]) ).
tcf(c_51721,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51584,c_59]) ).
tcf(c_51732,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51583,c_59]) ).
tcf(c_51744,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51579,c_59]) ).
tcf(c_51770,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_51563,c_3894]) ).
tcf(c_51771,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51770,c_2518]) ).
tcf(c_52044,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_51587,c_8631,c_42101]) ).
tcf(c_52045,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_52044]) ).
tcf(c_52071,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_52045]) ).
tcf(c_52072,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52071,c_103]) ).
tcf(c_52093,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_89]) ).
tcf(c_52095,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_27527]) ).
tcf(c_52096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_18982]) ).
tcf(c_52097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_18291]) ).
tcf(c_52098,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_15630]) ).
tcf(c_52100,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20835,c_91]) ).
tcf(c_52101,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_5229]) ).
tcf(c_52102,plain,
( ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_90]) ).
tcf(c_52105,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_20835,c_87]) ).
tcf(c_52106,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_85]) ).
tcf(c_52107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sdtpldt0(xl,xq) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_87]) ).
tcf(c_52108,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20835,c_92]) ).
tcf(c_52109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20835,c_89]) ).
tcf(c_52110,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52106,c_22983,c_17110]) ).
tcf(c_52115,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xl,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52100,c_17115,c_17110]) ).
tcf(c_52120,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52108,c_17110]) ).
tcf(c_52126,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52098,c_2614,c_17110]) ).
tcf(c_52132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))),sz00)
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52109,c_17110]) ).
tcf(c_52139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52107,c_17115,c_17110]) ).
tcf(c_52145,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,xq),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52105,c_17115,c_17110]) ).
tcf(c_52151,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52093,c_17110]) ).
tcf(c_52158,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52095,c_2614,c_17110]) ).
tcf(c_52165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52097,c_17115,c_2614,c_17110]) ).
tcf(c_52173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52096,c_2614,c_17110]) ).
tcf(c_52182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49872,c_89]) ).
tcf(c_52185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49872,c_18982]) ).
tcf(c_52187,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49872,c_15630]) ).
tcf(c_52197,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ( sdtasdt0(X0,sdtpldt0(xp,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_49872,c_92]) ).
tcf(c_52198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49872,c_89]) ).
tcf(c_52199,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52197,c_103,c_49747]) ).
tcf(c_52204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52198,c_103,c_49747]) ).
tcf(c_52210,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52182,c_103,c_49747]) ).
tcf(c_52216,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52187,c_103,c_2614,c_49747]) ).
tcf(c_52221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52185,c_103,c_2614,c_49747]) ).
tcf(c_52293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49873,c_18291]) ).
tcf(c_52296,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ( sdtasdt0(sdtpldt0(xp,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49873,c_91]) ).
tcf(c_52299,plain,
( doDivides0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49873,c_142]) ).
tcf(c_52301,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49873,c_87]) ).
tcf(c_52303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49873,c_87]) ).
tcf(c_52306,plain,
doDivides0(sdtpldt0(xp,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_52299,c_103,c_49747]) ).
tcf(c_52307,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52296,c_103,c_49747]) ).
tcf(c_52312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52303,c_103,c_49747]) ).
tcf(c_52318,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52301,c_103,c_49747]) ).
tcf(c_52324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52293,c_103,c_2614,c_49747]) ).
tcf(c_52386,plain,
( ( sdtpldt0(xp,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK0),sdtsldt0(sz00,sdtpldt0(xp,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_52306,c_106]) ).
tcf(c_52387,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_52306,c_99]) ).
tcf(c_52388,plain,
( ( sdtasdt0(sdtpldt0(xp,sK0),sK3(sdtpldt0(xp,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_52306,c_102]) ).
tcf(c_52389,plain,
sdtasdt0(sdtpldt0(xp,sK0),sK3(sdtpldt0(xp,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_52388,c_103,c_49747]) ).
tcf(c_52390,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52387,c_103,c_49747]) ).
tcf(c_52394,plain,
( ( sdtpldt0(xp,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK0),sdtsldt0(sz00,sdtpldt0(xp,sK0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52386,c_103,c_49747]) ).
tcf(c_52397,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51181,c_89]) ).
tcf(c_52400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51181,c_18982]) ).
tcf(c_52402,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51181,c_15630]) ).
tcf(c_52412,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ( sdtasdt0(X0,sdtpldt0(xq,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_51181,c_92]) ).
tcf(c_52413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51181,c_89]) ).
tcf(c_52414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xq,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52412,c_103,c_51000]) ).
tcf(c_52419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52413,c_103,c_51000]) ).
tcf(c_52425,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,sK0)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52397,c_103,c_51000]) ).
tcf(c_52431,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52402,c_103,c_2614,c_51000]) ).
tcf(c_52436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52400,c_103,c_2614,c_51000]) ).
tcf(c_52448,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49749,c_109]) ).
tcf(c_52449,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49749,c_11962]) ).
tcf(c_52450,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49749,c_8700]) ).
tcf(c_52452,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xp,sK0) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),xq) ),
inference(superposition,[status(thm)],[c_49749,c_110]) ).
tcf(c_52453,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49749,c_73]) ).
tcf(c_52454,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52453,c_62,c_49747]) ).
tcf(c_52457,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xp,sK0) = xq )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52452,c_62,c_49747]) ).
tcf(c_52461,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52448,c_62,c_49747]) ).
tcf(c_52466,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52449,c_62,c_49747]) ).
tcf(c_52478,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51002,c_109]) ).
tcf(c_52479,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51002,c_11962]) ).
tcf(c_52480,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_51002,c_8700]) ).
tcf(c_52482,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK0) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),xq) ),
inference(superposition,[status(thm)],[c_51002,c_110]) ).
tcf(c_52483,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51002,c_73]) ).
tcf(c_52485,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52483,c_62,c_51000]) ).
tcf(c_52488,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK0) = xq )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52482,c_62,c_51000]) ).
tcf(c_52492,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52478,c_62,c_51000]) ).
tcf(c_52497,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52479,c_62,c_51000]) ).
tcf(c_52509,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51182,c_18291]) ).
tcf(c_52512,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ( sdtasdt0(sdtpldt0(xq,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_51182,c_91]) ).
tcf(c_52515,plain,
( doDivides0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51182,c_142]) ).
tcf(c_52517,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51182,c_87]) ).
tcf(c_52519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51182,c_87]) ).
tcf(c_52522,plain,
doDivides0(sdtpldt0(xq,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_52515,c_103,c_51000]) ).
tcf(c_52523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xq,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52512,c_103,c_51000]) ).
tcf(c_52528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52519,c_103,c_51000]) ).
tcf(c_52534,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,sK0),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52517,c_103,c_51000]) ).
tcf(c_52540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52509,c_103,c_2614,c_51000]) ).
tcf(c_52548,plain,
( ( sdtpldt0(xq,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,sK0),sdtsldt0(sz00,sdtpldt0(xq,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_52522,c_106]) ).
tcf(c_52549,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_52522,c_99]) ).
tcf(c_52550,plain,
( ( sdtasdt0(sdtpldt0(xq,sK0),sK3(sdtpldt0(xq,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_52522,c_102]) ).
tcf(c_52551,plain,
sdtasdt0(sdtpldt0(xq,sK0),sK3(sdtpldt0(xq,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_52550,c_103,c_51000]) ).
tcf(c_52552,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52549,c_103,c_51000]) ).
tcf(c_52556,plain,
( ( sdtpldt0(xq,sK0) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,sK0),sdtsldt0(sz00,sdtpldt0(xq,sK0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52548,c_103,c_51000]) ).
tcf(c_52559,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_20203,c_8631,c_20203]) ).
tcf(c_52560,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_52559]) ).
tcf(c_52577,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_52560]) ).
tcf(c_52578,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_52560]) ).
tcf(c_52579,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52577,c_103]) ).
tcf(c_52587,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_52578,c_2465]) ).
tcf(c_52588,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52587,c_103]) ).
tcf(c_52619,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20120,c_109]) ).
tcf(c_52620,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20120,c_11962]) ).
tcf(c_52621,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_20120,c_8700]) ).
tcf(c_52623,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xq )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),xq) ),
inference(superposition,[status(thm)],[c_20120,c_110]) ).
tcf(c_52624,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20120,c_73]) ).
tcf(c_52626,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52619,c_62]) ).
tcf(c_52638,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52620,c_62]) ).
tcf(c_52650,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52624,c_62]) ).
tcf(c_52660,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xq )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52623,c_62]) ).
tcf(c_52671,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52621,c_62]) ).
tcf(c_52684,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_20171,c_8631,c_20171]) ).
tcf(c_52685,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(renaming,[status(thm)],[c_52684]) ).
tcf(c_52706,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_108,c_52685]) ).
tcf(c_52707,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52706,c_103]) ).
tcf(c_52777,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_50539,c_8631,c_50539]) ).
tcf(c_52778,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(renaming,[status(thm)],[c_52777]) ).
tcf(c_52799,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_108,c_52778]) ).
tcf(c_52800,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52799,c_103]) ).
tcf(c_52812,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_52671,c_8631,c_52671]) ).
tcf(c_52813,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(renaming,[status(thm)],[c_52812]) ).
tcf(c_52836,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_108,c_52813]) ).
tcf(c_52837,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52836,c_103]) ).
tcf(c_52848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_70]) ).
tcf(c_52860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_70]) ).
tcf(c_52861,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_21011,c_76]) ).
tcf(c_52862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_21011,c_68]) ).
tcf(c_52863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sK2(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_68]) ).
tcf(c_52864,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_98]) ).
tcf(c_52865,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_21011,c_77]) ).
tcf(c_52866,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21011,c_51524]) ).
tcf(c_52867,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21011,c_49956]) ).
tcf(c_52868,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21011,c_47638]) ).
tcf(c_52870,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21011,c_46832]) ).
tcf(c_52871,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21011,c_43963]) ).
tcf(c_52872,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21011,c_43470]) ).
tcf(c_52873,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21011,c_43085]) ).
tcf(c_52874,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21011,c_42039]) ).
tcf(c_52875,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21011,c_35146]) ).
tcf(c_52878,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_21011,c_26052]) ).
tcf(c_52879,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_15930]) ).
tcf(c_52880,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_15792]) ).
tcf(c_52881,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_24215]) ).
tcf(c_52882,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_24215]) ).
tcf(c_52883,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_15931]) ).
tcf(c_52884,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21011,c_24885]) ).
tcf(c_52885,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_15793]) ).
tcf(c_52886,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_21011,c_8652]) ).
tcf(c_52887,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21011,c_45030]) ).
tcf(c_52888,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52865,c_103]) ).
tcf(c_52893,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52864,c_103]) ).
tcf(c_52899,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52861,c_103]) ).
tcf(c_52904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52860,c_103]) ).
tcf(c_52911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xm))
| ( sK2(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52863,c_103]) ).
tcf(c_52917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52862,c_103]) ).
tcf(c_52940,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_52882,c_21011]) ).
tcf(c_52969,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_52878,c_21011]) ).
tcf(c_52978,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_52870,c_21011]) ).
tcf(c_52979,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52978,c_14661]) ).
tcf(c_53003,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_52868,c_21011]) ).
tcf(c_53004,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53003,c_14661]) ).
tcf(c_53019,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_52874,c_21011]) ).
tcf(c_53020,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53019,c_14661]) ).
tcf(c_53029,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_52887,c_21011]) ).
tcf(c_53030,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53029,c_14661]) ).
tcf(c_53040,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_52867,c_21011]) ).
tcf(c_53041,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53040,c_14661]) ).
tcf(c_53050,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_52866,c_21011]) ).
tcf(c_53051,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53050,c_14661]) ).
tcf(c_53098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sK0,sK1)),sdtpldt0(sK0,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49626,c_70]) ).
tcf(c_53100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49626,c_17825]) ).
tcf(c_53101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49626,c_17392]) ).
tcf(c_53102,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49626,c_14477]) ).
tcf(c_53108,plain,
( sdtlseqdt0(sz00,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49626,c_145]) ).
tcf(c_53110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(X0,sdtpldt0(sK0,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49626,c_70]) ).
tcf(c_53111,plain,
! [X0: $i] :
( ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_49626,c_76]) ).
tcf(c_53112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_49626,c_68]) ).
tcf(c_53113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49626,c_68]) ).
tcf(c_53115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ( sdtpldt0(X0,sdtpldt0(sK0,sK1)) != sdtpldt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_49626,c_77]) ).
tcf(c_53116,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_51524]) ).
tcf(c_53117,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_49956]) ).
tcf(c_53118,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49626,c_47638]) ).
tcf(c_53119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_41879]) ).
tcf(c_53120,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_46832]) ).
tcf(c_53121,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_43963]) ).
tcf(c_53122,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_43470]) ).
tcf(c_53123,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_43085]) ).
tcf(c_53124,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_42039]) ).
tcf(c_53125,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_35146]) ).
tcf(c_53126,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_26041]) ).
tcf(c_53127,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_26044]) ).
tcf(c_53128,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK0,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_49626,c_26052]) ).
tcf(c_53129,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_15930]) ).
tcf(c_53130,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_15792]) ).
tcf(c_53131,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK0,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_24215]) ).
tcf(c_53132,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK0,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_24215]) ).
tcf(c_53133,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_15931]) ).
tcf(c_53134,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_24885]) ).
tcf(c_53135,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_15793]) ).
tcf(c_53136,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(sK0,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_49626,c_8652]) ).
tcf(c_53137,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_49626,c_45030]) ).
tcf(c_53138,plain,
sdtlseqdt0(sz00,sdtpldt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_53108,c_103,c_49492]) ).
tcf(c_53139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sK0,sK1)) != sdtpldt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53115,c_103,c_49492]) ).
tcf(c_53143,plain,
! [X0: $i] :
( ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53111,c_103,c_49492]) ).
tcf(c_53147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(X0,sdtpldt0(sK0,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53110,c_103,c_49492]) ).
tcf(c_53153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53113,c_103,c_49492]) ).
tcf(c_53158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53112,c_103,c_49492]) ).
tcf(c_53163,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53102,c_103,c_49492]) ).
tcf(c_53168,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(sK0,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53136,c_49492]) ).
tcf(c_53173,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53135,c_49492]) ).
tcf(c_53179,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53133,c_49492]) ).
tcf(c_53185,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53132,c_49626]) ).
tcf(c_53186,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53185,c_49492]) ).
tcf(c_53194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53100,c_103,c_49492]) ).
tcf(c_53202,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53130,c_49492]) ).
tcf(c_53209,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53129,c_49492]) ).
tcf(c_53216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53101,c_103,c_49492]) ).
tcf(c_53231,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53128,c_49626]) ).
tcf(c_53232,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53231,c_49492]) ).
tcf(c_53238,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53127,c_49626]) ).
tcf(c_53239,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53238,c_49492]) ).
tcf(c_53246,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53125,c_49492]) ).
tcf(c_53254,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53126,c_49626]) ).
tcf(c_53255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53254,c_49492]) ).
tcf(c_53263,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53120,c_49626]) ).
tcf(c_53264,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53263,c_49492]) ).
tcf(c_53271,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1)) ),
inference(light_normalisation,[status(thm)],[c_53118,c_49626]) ).
tcf(c_53272,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53271,c_49492]) ).
tcf(c_53279,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53124,c_49626]) ).
tcf(c_53280,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53279,c_49492]) ).
tcf(c_53288,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53123,c_49492]) ).
tcf(c_53296,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53122,c_49492]) ).
tcf(c_53304,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53121,c_49492]) ).
tcf(c_53311,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53137,c_49626]) ).
tcf(c_53312,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53311,c_49492]) ).
tcf(c_53321,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53117,c_49626]) ).
tcf(c_53322,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53321,c_49492]) ).
tcf(c_53330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53119,c_49626]) ).
tcf(c_53331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53330,c_49492]) ).
tcf(c_53341,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53116,c_49626]) ).
tcf(c_53342,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53341,c_49492]) ).
tcf(c_53532,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53138,c_109]) ).
tcf(c_53536,plain,
( ( sdtpldt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_53138,c_110]) ).
tcf(c_53537,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53138,c_73]) ).
tcf(c_53538,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_53537,c_103,c_49492]) ).
tcf(c_53539,plain,
( ( sdtpldt0(sK0,sK1) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53536,c_103,c_49492]) ).
tcf(c_53542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53532,c_103,c_49492]) ).
tcf(c_53546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49627,c_70]) ).
tcf(c_53547,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49627,c_24035]) ).
tcf(c_53548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49627,c_17825]) ).
tcf(c_53549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49627,c_17392]) ).
tcf(c_53550,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_49627,c_14477]) ).
tcf(c_53551,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49627,c_5155]) ).
tcf(c_53556,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49627,c_145]) ).
tcf(c_53558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_49627,c_70]) ).
tcf(c_53559,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ( sdtpldt0(sdtpldt0(sK0,sK1),X0) != sdtpldt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_49627,c_76]) ).
tcf(c_53560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sdtpldt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49627,c_68]) ).
tcf(c_53561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sK0,sK1),X0),sdtpldt0(sK0,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_49627,c_68]) ).
tcf(c_53563,plain,
! [X0: $i] :
( ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_49627,c_77]) ).
tcf(c_53564,plain,
sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_53556,c_103,c_49492]) ).
tcf(c_53565,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53551,c_103,c_49492]) ).
tcf(c_53568,plain,
! [X0: $i] :
( ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53563,c_103,c_49492]) ).
tcf(c_53572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sK0,sK1),X0) != sdtpldt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53559,c_103,c_49492]) ).
tcf(c_53577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(sdtpldt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53560,c_103,c_49492]) ).
tcf(c_53582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53558,c_103,c_49492]) ).
tcf(c_53587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53546,c_103,c_49492]) ).
tcf(c_53592,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53550,c_103,c_49492]) ).
tcf(c_53597,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53547,c_103,c_49492]) ).
tcf(c_53603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53549,c_103,c_49492]) ).
tcf(c_53611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53548,c_103,c_49492]) ).
tcf(c_53621,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_53564,c_8700]) ).
tcf(c_53624,plain,
( ( sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53564,c_73]) ).
tcf(c_53625,plain,
sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),sdtpldt0(sK0,sK1))) = sdtpldt0(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_53624,c_49492]) ).
tcf(c_53631,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_46240,c_109]) ).
tcf(c_53635,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_46240,c_110]) ).
tcf(c_53636,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_46240,c_73]) ).
tcf(c_53637,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53636,c_59,c_40684]) ).
tcf(c_53640,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53635,c_59,c_40684]) ).
tcf(c_53644,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53631,c_59,c_40684]) ).
tcf(c_53653,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_48080,c_109]) ).
tcf(c_53657,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(xp,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_48080,c_110]) ).
tcf(c_53658,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_48080,c_73]) ).
tcf(c_53659,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53658,c_59,c_41362]) ).
tcf(c_53662,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53657,c_59,c_41362]) ).
tcf(c_53666,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53653,c_59,c_41362]) ).
tcf(c_53675,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48493,c_109]) ).
tcf(c_53680,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),sK2(sdtpldt0(xn,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48493,c_73]) ).
tcf(c_53681,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),sK2(sdtpldt0(xn,xp),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53680,c_59,c_41576]) ).
tcf(c_53684,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53675,c_59,c_41576]) ).
tcf(c_53689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK0)),sdtpldt0(xp,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49874,c_70]) ).
tcf(c_53691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49874,c_17825]) ).
tcf(c_53692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49874,c_17392]) ).
tcf(c_53693,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49874,c_14477]) ).
tcf(c_53699,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49874,c_145]) ).
tcf(c_53701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(X0,sdtpldt0(xp,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49874,c_70]) ).
tcf(c_53702,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_49874,c_76]) ).
tcf(c_53703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),X0) ),
inference(superposition,[status(thm)],[c_49874,c_68]) ).
tcf(c_53704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49874,c_68]) ).
tcf(c_53706,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ( sdtpldt0(X0,sdtpldt0(xp,sK0)) != sdtpldt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_49874,c_77]) ).
tcf(c_53707,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_51524]) ).
tcf(c_53708,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_49956]) ).
tcf(c_53709,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49874,c_47638]) ).
tcf(c_53710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_41879]) ).
tcf(c_53711,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_46832]) ).
tcf(c_53712,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_43963]) ).
tcf(c_53713,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_43470]) ).
tcf(c_53714,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_43085]) ).
tcf(c_53715,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_42039]) ).
tcf(c_53716,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_35146]) ).
tcf(c_53717,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_26041]) ).
tcf(c_53718,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_26044]) ).
tcf(c_53719,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_49874,c_26052]) ).
tcf(c_53720,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_15930]) ).
tcf(c_53721,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_15792]) ).
tcf(c_53722,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_24215]) ).
tcf(c_53723,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_24215]) ).
tcf(c_53724,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_15931]) ).
tcf(c_53725,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_24885]) ).
tcf(c_53726,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_15793]) ).
tcf(c_53727,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_49874,c_8652]) ).
tcf(c_53728,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_49874,c_45030]) ).
tcf(c_53729,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_53699,c_103,c_49747]) ).
tcf(c_53730,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK0)) != sdtpldt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53706,c_103,c_49747]) ).
tcf(c_53734,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53702,c_103,c_49747]) ).
tcf(c_53738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(X0,sdtpldt0(xp,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53701,c_103,c_49747]) ).
tcf(c_53744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53704,c_103,c_49747]) ).
tcf(c_53749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53703,c_103,c_49747]) ).
tcf(c_53754,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53693,c_103,c_49747]) ).
tcf(c_53759,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53727,c_49747]) ).
tcf(c_53764,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53726,c_49747]) ).
tcf(c_53770,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53724,c_49747]) ).
tcf(c_53776,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53723,c_49874]) ).
tcf(c_53777,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53776,c_49747]) ).
tcf(c_53785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53691,c_103,c_49747]) ).
tcf(c_53793,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53721,c_49747]) ).
tcf(c_53800,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53720,c_49747]) ).
tcf(c_53807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53692,c_103,c_49747]) ).
tcf(c_53822,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53719,c_49874]) ).
tcf(c_53823,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53822,c_49747]) ).
tcf(c_53829,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53718,c_49874]) ).
tcf(c_53830,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53829,c_49747]) ).
tcf(c_53837,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53716,c_49747]) ).
tcf(c_53845,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53717,c_49874]) ).
tcf(c_53846,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53845,c_49747]) ).
tcf(c_53854,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53711,c_49874]) ).
tcf(c_53855,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53854,c_49747]) ).
tcf(c_53862,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0)) ),
inference(light_normalisation,[status(thm)],[c_53709,c_49874]) ).
tcf(c_53863,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53862,c_49747]) ).
tcf(c_53870,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53715,c_49874]) ).
tcf(c_53871,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53870,c_49747]) ).
tcf(c_53879,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53714,c_49747]) ).
tcf(c_53887,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53713,c_49747]) ).
tcf(c_53895,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53712,c_49747]) ).
tcf(c_53902,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53728,c_49874]) ).
tcf(c_53903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53902,c_49747]) ).
tcf(c_53912,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53708,c_49874]) ).
tcf(c_53913,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53912,c_49747]) ).
tcf(c_53921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53710,c_49874]) ).
tcf(c_53922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53921,c_49747]) ).
tcf(c_53932,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_53707,c_49874]) ).
tcf(c_53933,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53932,c_49747]) ).
tcf(c_54213,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_52884,c_109]) ).
tcf(c_54214,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_11962]) ).
tcf(c_54215,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_8700]) ).
tcf(c_54216,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_3979]) ).
tcf(c_54217,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_52884,c_110]) ).
tcf(c_54218,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_73]) ).
tcf(c_54219,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_5863]) ).
tcf(c_54220,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_26045]) ).
tcf(c_54221,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_8679]) ).
tcf(c_54316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_70]) ).
tcf(c_54317,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_21017,c_24035]) ).
tcf(c_54318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_21017,c_17825]) ).
tcf(c_54319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_21017,c_17392]) ).
tcf(c_54320,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_21017,c_14477]) ).
tcf(c_54321,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_5155]) ).
tcf(c_54324,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_21017,c_75]) ).
tcf(c_54326,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_145]) ).
tcf(c_54327,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_84]) ).
tcf(c_54328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_21017,c_70]) ).
tcf(c_54329,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) ) ),
inference(superposition,[status(thm)],[c_21017,c_76]) ).
tcf(c_54330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_68]) ).
tcf(c_54331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_68]) ).
tcf(c_54332,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_98]) ).
tcf(c_54333,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_21017,c_77]) ).
tcf(c_54334,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(forward_subsumption_resolution,[status(thm)],[c_54327,c_49,c_20938]) ).
tcf(c_54335,plain,
sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(forward_subsumption_resolution,[status(thm)],[c_54326,c_49,c_20938]) ).
tcf(c_54336,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54324,c_58,c_49,c_20938]) ).
tcf(c_54337,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54321,c_49,c_20938]) ).
tcf(c_54340,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54333,c_49,c_20938]) ).
tcf(c_54344,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54332,c_49,c_20938]) ).
tcf(c_54349,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54329,c_49,c_20938]) ).
tcf(c_54353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54331,c_49,c_20938]) ).
tcf(c_54358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54330,c_49,c_20938]) ).
tcf(c_54363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54328,c_49,c_20938]) ).
tcf(c_54368,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54320,c_49,c_20938]) ).
tcf(c_54373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54316,c_49,c_20938]) ).
tcf(c_54378,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54317,c_49,c_20938]) ).
tcf(c_54384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54319,c_49,c_20938]) ).
tcf(c_54392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54318,c_49,c_20938]) ).
tcf(c_54451,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_35540,c_142]) ).
tcf(c_54458,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_54451,c_59,c_103]) ).
tcf(c_54471,plain,
( ( sdtasdt0(xp,sK3(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_54458,c_102]) ).
tcf(c_54472,plain,
sdtasdt0(xp,sK3(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_54471,c_59,c_103]) ).
tcf(c_54571,plain,
( sdtlseqdt0(xp,sz00)
| ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(superposition,[status(thm)],[c_54472,c_85]) ).
tcf(c_54575,plain,
( ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54571,c_36898,c_59]) ).
tcf(c_54616,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_53729,c_109]) ).
tcf(c_54620,plain,
( ( sdtpldt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_53729,c_110]) ).
tcf(c_54621,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_53729,c_73]) ).
tcf(c_54622,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_54621,c_103,c_49747]) ).
tcf(c_54623,plain,
( ( sdtpldt0(xp,sK0) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54620,c_103,c_49747]) ).
tcf(c_54626,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54616,c_103,c_49747]) ).
tcf(c_54630,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2702]) ).
tcf(c_54631,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2701]) ).
tcf(c_54632,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2700]) ).
tcf(c_54633,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2699]) ).
tcf(c_54634,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54334,c_79]) ).
tcf(c_54635,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54334,c_78]) ).
tcf(c_54636,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54334,c_95]) ).
tcf(c_54637,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54334,c_82]) ).
tcf(c_54638,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54334,c_152]) ).
tcf(c_54639,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54334,c_96]) ).
tcf(c_54640,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_54334,c_83]) ).
tcf(c_54641,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sz00,
inference(superposition,[status(thm)],[c_54334,c_94]) ).
tcf(c_54642,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_54334,c_93]) ).
tcf(c_54643,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_54334,c_81]) ).
tcf(c_54644,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_54334,c_80]) ).
tcf(c_54763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49875,c_70]) ).
tcf(c_54764,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49875,c_24035]) ).
tcf(c_54765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49875,c_17825]) ).
tcf(c_54766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49875,c_17392]) ).
tcf(c_54767,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_49875,c_14477]) ).
tcf(c_54768,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49875,c_5155]) ).
tcf(c_54773,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49875,c_145]) ).
tcf(c_54775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),X0) ),
inference(superposition,[status(thm)],[c_49875,c_70]) ).
tcf(c_54776,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ( sdtpldt0(sdtpldt0(xp,sK0),X0) != sdtpldt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_49875,c_76]) ).
tcf(c_54777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(sdtpldt0(xp,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49875,c_68]) ).
tcf(c_54778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK0),X0),sdtpldt0(xp,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_49875,c_68]) ).
tcf(c_54780,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_49875,c_77]) ).
tcf(c_54781,plain,
sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_54773,c_103,c_49747]) ).
tcf(c_54782,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54768,c_103,c_49747]) ).
tcf(c_54785,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54780,c_103,c_49747]) ).
tcf(c_54789,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK0),X0) != sdtpldt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54776,c_103,c_49747]) ).
tcf(c_54794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(sdtpldt0(xp,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54777,c_103,c_49747]) ).
tcf(c_54799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54775,c_103,c_49747]) ).
tcf(c_54804,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54763,c_103,c_49747]) ).
tcf(c_54809,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54767,c_103,c_49747]) ).
tcf(c_54814,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54764,c_103,c_49747]) ).
tcf(c_54820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54766,c_103,c_49747]) ).
tcf(c_54828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54765,c_103,c_49747]) ).
tcf(c_54878,plain,
( sdtlseqdt0(sdtpldt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_54781,c_8700]) ).
tcf(c_54881,plain,
( ( sdtpldt0(sdtpldt0(xp,sK0),sK2(sdtpldt0(xp,sK0),sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_54781,c_73]) ).
tcf(c_54882,plain,
sdtpldt0(sdtpldt0(xp,sK0),sK2(sdtpldt0(xp,sK0),sdtpldt0(xp,sK0))) = sdtpldt0(xp,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_54881,c_49747]) ).
tcf(c_54884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK0)),sdtpldt0(xq,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51183,c_70]) ).
tcf(c_54886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_51183,c_17825]) ).
tcf(c_54887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51183,c_17392]) ).
tcf(c_54888,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_51183,c_14477]) ).
tcf(c_54894,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51183,c_145]) ).
tcf(c_54896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(X0,sdtpldt0(xq,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51183,c_70]) ).
tcf(c_54897,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_51183,c_76]) ).
tcf(c_54898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),X0) ),
inference(superposition,[status(thm)],[c_51183,c_68]) ).
tcf(c_54899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51183,c_68]) ).
tcf(c_54901,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ( sdtpldt0(X0,sdtpldt0(xq,sK0)) != sdtpldt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_51183,c_77]) ).
tcf(c_54902,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_51524]) ).
tcf(c_54903,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_49956]) ).
tcf(c_54904,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51183,c_47638]) ).
tcf(c_54905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_41879]) ).
tcf(c_54906,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_46832]) ).
tcf(c_54907,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_43963]) ).
tcf(c_54908,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_43470]) ).
tcf(c_54909,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_43085]) ).
tcf(c_54910,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_42039]) ).
tcf(c_54911,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_35146]) ).
tcf(c_54912,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_26041]) ).
tcf(c_54913,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_26044]) ).
tcf(c_54914,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_51183,c_26052]) ).
tcf(c_54915,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_15930]) ).
tcf(c_54916,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_15792]) ).
tcf(c_54917,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_24215]) ).
tcf(c_54918,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_24215]) ).
tcf(c_54919,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_15931]) ).
tcf(c_54920,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_24885]) ).
tcf(c_54921,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_15793]) ).
tcf(c_54922,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xq,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_51183,c_8652]) ).
tcf(c_54923,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_51183,c_45030]) ).
tcf(c_54924,plain,
sdtlseqdt0(sz00,sdtpldt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_54894,c_103,c_51000]) ).
tcf(c_54925,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xq,sK0)) != sdtpldt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54901,c_103,c_51000]) ).
tcf(c_54929,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54897,c_103,c_51000]) ).
tcf(c_54933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(X0,sdtpldt0(xq,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54896,c_103,c_51000]) ).
tcf(c_54939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54899,c_103,c_51000]) ).
tcf(c_54944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54898,c_103,c_51000]) ).
tcf(c_54949,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54888,c_103,c_51000]) ).
tcf(c_54954,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xq,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54922,c_51000]) ).
tcf(c_54959,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54921,c_51000]) ).
tcf(c_54965,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54919,c_51000]) ).
tcf(c_54971,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54918,c_51183]) ).
tcf(c_54972,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54971,c_51000]) ).
tcf(c_54980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54886,c_103,c_51000]) ).
tcf(c_54988,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54916,c_51000]) ).
tcf(c_54995,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54915,c_51000]) ).
tcf(c_55002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54887,c_103,c_51000]) ).
tcf(c_55017,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54914,c_51183]) ).
tcf(c_55018,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55017,c_51000]) ).
tcf(c_55024,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54913,c_51183]) ).
tcf(c_55025,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55024,c_51000]) ).
tcf(c_55032,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54911,c_51000]) ).
tcf(c_55040,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54912,c_51183]) ).
tcf(c_55041,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55040,c_51000]) ).
tcf(c_55049,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54906,c_51183]) ).
tcf(c_55050,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55049,c_51000]) ).
tcf(c_55057,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0)) ),
inference(light_normalisation,[status(thm)],[c_54904,c_51183]) ).
tcf(c_55058,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55057,c_51000]) ).
tcf(c_55065,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54910,c_51183]) ).
tcf(c_55066,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55065,c_51000]) ).
tcf(c_55074,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54909,c_51000]) ).
tcf(c_55082,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54908,c_51000]) ).
tcf(c_55090,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54907,c_51000]) ).
tcf(c_55097,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54923,c_51183]) ).
tcf(c_55098,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55097,c_51000]) ).
tcf(c_55107,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54903,c_51183]) ).
tcf(c_55108,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55107,c_51000]) ).
tcf(c_55116,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54905,c_51183]) ).
tcf(c_55117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55116,c_51000]) ).
tcf(c_55127,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_54902,c_51183]) ).
tcf(c_55128,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55127,c_51000]) ).
tcf(c_55258,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_54924,c_109]) ).
tcf(c_55262,plain,
( ( sdtpldt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_54924,c_110]) ).
tcf(c_55263,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_54924,c_73]) ).
tcf(c_55265,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_55263,c_103,c_51000]) ).
tcf(c_55266,plain,
( ( sdtpldt0(xq,sK0) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55262,c_103,c_51000]) ).
tcf(c_55269,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55258,c_103,c_51000]) ).
tcf(c_55378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51184,c_70]) ).
tcf(c_55379,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_51184,c_24035]) ).
tcf(c_55380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51184,c_17825]) ).
tcf(c_55381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_51184,c_17392]) ).
tcf(c_55382,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_51184,c_14477]) ).
tcf(c_55383,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51184,c_5155]) ).
tcf(c_55388,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51184,c_145]) ).
tcf(c_55390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),X0) ),
inference(superposition,[status(thm)],[c_51184,c_70]) ).
tcf(c_55391,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ( sdtpldt0(sdtpldt0(xq,sK0),X0) != sdtpldt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_51184,c_76]) ).
tcf(c_55392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(sdtpldt0(xq,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51184,c_68]) ).
tcf(c_55393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,sK0),X0),sdtpldt0(xq,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_51184,c_68]) ).
tcf(c_55395,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_51184,c_77]) ).
tcf(c_55396,plain,
sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_55388,c_103,c_51000]) ).
tcf(c_55397,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55383,c_103,c_51000]) ).
tcf(c_55400,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55395,c_103,c_51000]) ).
tcf(c_55404,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xq,sK0),X0) != sdtpldt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55391,c_103,c_51000]) ).
tcf(c_55409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(sdtpldt0(xq,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55392,c_103,c_51000]) ).
tcf(c_55414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK0),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55390,c_103,c_51000]) ).
tcf(c_55419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55378,c_103,c_51000]) ).
tcf(c_55424,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55382,c_103,c_51000]) ).
tcf(c_55429,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55379,c_103,c_51000]) ).
tcf(c_55435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55381,c_103,c_51000]) ).
tcf(c_55443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55380,c_103,c_51000]) ).
tcf(c_55453,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_55396,c_8700]) ).
tcf(c_55456,plain,
( ( sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55396,c_73]) ).
tcf(c_55457,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55396,c_10288]) ).
tcf(c_55458,plain,
sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),sdtpldt0(xq,sK0))) = sdtpldt0(xq,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_55456,c_51000]) ).
tcf(c_55481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_70]) ).
tcf(c_55483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_17825]) ).
tcf(c_55484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_17392]) ).
tcf(c_55485,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_14477]) ).
tcf(c_55491,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_145]) ).
tcf(c_55493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_70]) ).
tcf(c_55494,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_21027,c_76]) ).
tcf(c_55495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_21027,c_68]) ).
tcf(c_55496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_68]) ).
tcf(c_55498,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_21027,c_77]) ).
tcf(c_55499,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_51524]) ).
tcf(c_55500,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_49956]) ).
tcf(c_55501,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_47638]) ).
tcf(c_55502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_41879]) ).
tcf(c_55503,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_46832]) ).
tcf(c_55504,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_43963]) ).
tcf(c_55505,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_43470]) ).
tcf(c_55506,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_43085]) ).
tcf(c_55507,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_42039]) ).
tcf(c_55508,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_35146]) ).
tcf(c_55509,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_26041]) ).
tcf(c_55510,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_26044]) ).
tcf(c_55511,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_26052]) ).
tcf(c_55512,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_15930]) ).
tcf(c_55513,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_15792]) ).
tcf(c_55514,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_24215]) ).
tcf(c_55515,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_24215]) ).
tcf(c_55516,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_15931]) ).
tcf(c_55517,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_21027,c_24885]) ).
tcf(c_55518,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_15793]) ).
tcf(c_55519,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_21027,c_8652]) ).
tcf(c_55520,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21027,c_45030]) ).
tcf(c_55521,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_55491,c_103,c_20938]) ).
tcf(c_55522,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55498,c_103,c_20938]) ).
tcf(c_55526,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55494,c_103,c_20938]) ).
tcf(c_55530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55493,c_103,c_20938]) ).
tcf(c_55535,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55485,c_103,c_20938]) ).
tcf(c_55541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55496,c_103,c_20938]) ).
tcf(c_55546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55495,c_103,c_20938]) ).
tcf(c_55551,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55519,c_20938]) ).
tcf(c_55556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55483,c_103,c_20938]) ).
tcf(c_55564,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55518,c_20938]) ).
tcf(c_55570,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55516,c_20938]) ).
tcf(c_55576,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_55515,c_21027]) ).
tcf(c_55577,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55576,c_20938]) ).
tcf(c_55585,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55513,c_20938]) ).
tcf(c_55592,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55512,c_20938]) ).
tcf(c_55599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55484,c_103,c_20938]) ).
tcf(c_55614,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_55511,c_21027]) ).
tcf(c_55615,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55614,c_20938]) ).
tcf(c_55622,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_55510,c_21027]) ).
tcf(c_55623,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55622,c_20938]) ).
tcf(c_55630,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_55509,c_21027]) ).
tcf(c_55631,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55630,c_20938]) ).
tcf(c_55639,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_55503,c_21027]) ).
tcf(c_55640,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55639,c_20938]) ).
tcf(c_55647,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55506,c_20938]) ).
tcf(c_55655,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55505,c_20938]) ).
tcf(c_55663,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_55501,c_21027]) ).
tcf(c_55664,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55663,c_20938]) ).
tcf(c_55671,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55504,c_20938]) ).
tcf(c_55678,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_55507,c_21027]) ).
tcf(c_55679,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55678,c_20938]) ).
tcf(c_55687,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_55520,c_21027]) ).
tcf(c_55688,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55687,c_20938]) ).
tcf(c_55697,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_55500,c_21027]) ).
tcf(c_55698,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55697,c_20938]) ).
tcf(c_55706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_55502,c_21027]) ).
tcf(c_55707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55706,c_20938]) ).
tcf(c_55717,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_55499,c_21027]) ).
tcf(c_55718,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55717,c_20938]) ).
tcf(c_55778,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_55521,c_109]) ).
tcf(c_55782,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_55521,c_110]) ).
tcf(c_55783,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtpldt0(xl,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_55521,c_73]) ).
tcf(c_55784,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55778,c_103,c_20938]) ).
tcf(c_55788,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_55783,c_103,c_20938]) ).
tcf(c_55789,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_55782,c_20943,c_103,c_20938]) ).
tcf(c_55802,plain,
sdtpldt0(sK1,xp) = sdtpldt0(xp,sK1),
inference(superposition,[status(thm)],[c_59,c_2703]) ).
tcf(c_55803,plain,
sdtpldt0(sK1,xq) = sdtpldt0(xq,sK1),
inference(superposition,[status(thm)],[c_62,c_2703]) ).
tcf(c_55804,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK1) = sdtpldt0(sK1,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2703]) ).
tcf(c_55805,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),sK1) = sdtpldt0(sK1,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2703]) ).
tcf(c_55806,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sK1) = sdtpldt0(sK1,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2703]) ).
tcf(c_55807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),sK1) = sdtpldt0(sK1,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2703]) ).
tcf(c_55808,plain,
sdtpldt0(sK1,sz00) = sdtpldt0(sz00,sK1),
inference(superposition,[status(thm)],[c_103,c_2703]) ).
tcf(c_55809,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sK1) = sdtpldt0(sK1,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2703]) ).
tcf(c_55810,plain,
sdtpldt0(sdtasdt0(xl,xq),sK1) = sdtpldt0(sK1,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2703]) ).
tcf(c_55811,plain,
sdtpldt0(sdtpldt0(xl,xm),sK1) = sdtpldt0(sK1,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2703]) ).
tcf(c_55812,plain,
sdtpldt0(sdtpldt0(xl,xn),sK1) = sdtpldt0(sK1,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2703]) ).
tcf(c_55813,plain,
sdtpldt0(sdtpldt0(xl,sK0),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2703]) ).
tcf(c_55814,plain,
sdtpldt0(sdtpldt0(xl,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2703]) ).
tcf(c_55815,plain,
sdtpldt0(sdtpldt0(xl,xp),sK1) = sdtpldt0(sK1,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2703]) ).
tcf(c_55816,plain,
sdtpldt0(sdtpldt0(xl,xq),sK1) = sdtpldt0(sK1,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2703]) ).
tcf(c_55817,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2703]) ).
tcf(c_55818,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2703]) ).
tcf(c_55819,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2703]) ).
tcf(c_55820,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2703]) ).
tcf(c_55821,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2703]) ).
tcf(c_55822,plain,
sdtpldt0(sdtpldt0(xm,sK0),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2703]) ).
tcf(c_55823,plain,
sdtpldt0(sdtpldt0(xm,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2703]) ).
tcf(c_55824,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2703]) ).
tcf(c_55825,plain,
sdtpldt0(sdtpldt0(xm,xp),sK1) = sdtpldt0(sK1,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2703]) ).
tcf(c_55826,plain,
sdtpldt0(sdtpldt0(xm,xq),sK1) = sdtpldt0(sK1,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2703]) ).
tcf(c_55827,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2703]) ).
tcf(c_55828,plain,
sdtpldt0(sdtpldt0(xn,sK0),sK1) = sdtpldt0(sK1,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2703]) ).
tcf(c_55829,plain,
sdtpldt0(sdtpldt0(xn,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2703]) ).
tcf(c_55830,plain,
sdtpldt0(sdtpldt0(xn,xp),sK1) = sdtpldt0(sK1,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2703]) ).
tcf(c_55831,plain,
sdtpldt0(sdtpldt0(xn,xq),sK1) = sdtpldt0(sK1,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2703]) ).
tcf(c_55832,plain,
sdtpldt0(sdtpldt0(sK0,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2703]) ).
tcf(c_55833,plain,
sdtpldt0(sdtpldt0(xp,sK0),sK1) = sdtpldt0(sK1,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2703]) ).
tcf(c_55834,plain,
sdtpldt0(sdtpldt0(xq,sK0),sK1) = sdtpldt0(sK1,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2703]) ).
tcf(c_55835,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2703]) ).
tcf(c_55920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_55802,c_70]) ).
tcf(c_55921,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55802,c_24035]) ).
tcf(c_55922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55802,c_17825]) ).
tcf(c_55923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55802,c_17392]) ).
tcf(c_55924,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55802,c_14477]) ).
tcf(c_55925,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_55802,c_5155]) ).
tcf(c_55928,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ( sdtpldt0(xp,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_55802,c_75]) ).
tcf(c_55929,plain,
( ( sK1 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ( sdtpldt0(xp,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_55802,c_74]) ).
tcf(c_55930,plain,
( sdtlseqdt0(sK1,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_55802,c_145]) ).
tcf(c_55931,plain,
( aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_55802,c_84]) ).
tcf(c_55932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(X0,xp))
| ( X0 = sK1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_55802,c_70]) ).
tcf(c_55933,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_55802,c_76]) ).
tcf(c_55934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(sK1,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_55802,c_68]) ).
tcf(c_55935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xp,sK1))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_55802,c_68]) ).
tcf(c_55936,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sK1) ),
inference(superposition,[status(thm)],[c_55802,c_98]) ).
tcf(c_55937,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_55802,c_77]) ).
tcf(c_55938,plain,
aNaturalNumber0(sdtpldt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_55931,c_59,c_55]) ).
tcf(c_55939,plain,
sdtlseqdt0(sK1,sdtpldt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_55930,c_59,c_55]) ).
tcf(c_55940,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55925,c_59,c_55]) ).
tcf(c_55943,plain,
( ( sK1 = sz00 )
| ( sdtpldt0(xp,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55929,c_59,c_55]) ).
tcf(c_55946,plain,
( ( sz00 = xp )
| ( sdtpldt0(xp,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55928,c_59,c_55]) ).
tcf(c_55949,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55937,c_59,c_55]) ).
tcf(c_55953,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55936,c_59,c_55]) ).
tcf(c_55958,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55933,c_59,c_55]) ).
tcf(c_55962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xp,sK1))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55935,c_59,c_55]) ).
tcf(c_55967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(sK1,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55934,c_59,c_55]) ).
tcf(c_55972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(X0,xp))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55932,c_59,c_55]) ).
tcf(c_55977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55920,c_59,c_55]) ).
tcf(c_55982,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55924,c_59,c_55]) ).
tcf(c_55987,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55921,c_59,c_55]) ).
tcf(c_55993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55923,c_59,c_55]) ).
tcf(c_56001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55922,c_59,c_55]) ).
tcf(c_56131,plain,
sdtpldt0(sdtpldt0(xp,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2703]) ).
tcf(c_56132,plain,
sdtpldt0(sdtpldt0(xp,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2702]) ).
tcf(c_56133,plain,
sdtpldt0(sdtpldt0(xp,sK1),xn) = sdtpldt0(xn,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2701]) ).
tcf(c_56134,plain,
sdtpldt0(sdtpldt0(xp,sK1),xm) = sdtpldt0(xm,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2700]) ).
tcf(c_56135,plain,
sdtpldt0(sdtpldt0(xp,sK1),xl) = sdtpldt0(xl,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2699]) ).
tcf(c_56136,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,sK1)),sdtasdt0(X0,sdtpldt0(xp,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55938,c_79]) ).
tcf(c_56137,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK1),X1),sdtasdt0(sdtpldt0(xp,sK1),X0)) = sdtasdt0(sdtpldt0(xp,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55938,c_78]) ).
tcf(c_56138,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK1),X1),X0) = sdtasdt0(sdtpldt0(xp,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55938,c_95]) ).
tcf(c_56139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK1),X1),X0) = sdtpldt0(sdtpldt0(xp,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55938,c_82]) ).
tcf(c_56140,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,sK1),X0),sdtpldt0(xp,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55938,c_152]) ).
tcf(c_56141,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK1),X0) = sdtasdt0(X0,sdtpldt0(xp,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55938,c_96]) ).
tcf(c_56142,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK1),X0) = sdtpldt0(X0,sdtpldt0(xp,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_55938,c_83]) ).
tcf(c_56143,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK1)) = sz00,
inference(superposition,[status(thm)],[c_55938,c_94]) ).
tcf(c_56144,plain,
sdtasdt0(sdtpldt0(xp,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_55938,c_93]) ).
tcf(c_56145,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK1)) = sdtpldt0(xp,sK1),
inference(superposition,[status(thm)],[c_55938,c_81]) ).
tcf(c_56146,plain,
sdtpldt0(sdtpldt0(xp,sK1),sz00) = sdtpldt0(xp,sK1),
inference(superposition,[status(thm)],[c_55938,c_80]) ).
tcf(c_56173,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_55939,c_109]) ).
tcf(c_56174,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_55939,c_11962]) ).
tcf(c_56175,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55939,c_8700]) ).
tcf(c_56177,plain,
( ( sdtpldt0(xp,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sK1) ),
inference(superposition,[status(thm)],[c_55939,c_110]) ).
tcf(c_56178,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_55939,c_73]) ).
tcf(c_56179,plain,
sdtpldt0(sK1,sK2(sK1,sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_56178,c_55,c_55938]) ).
tcf(c_56180,plain,
( ( sdtpldt0(xp,sK1) = sK1 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56177,c_55,c_55938]) ).
tcf(c_56183,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56173,c_55,c_55938]) ).
tcf(c_56187,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56174,c_55,c_55938]) ).
tcf(c_56234,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_55803,c_70]) ).
tcf(c_56235,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55803,c_24035]) ).
tcf(c_56236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55803,c_17825]) ).
tcf(c_56237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55803,c_17392]) ).
tcf(c_56238,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55803,c_14477]) ).
tcf(c_56239,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_55803,c_5155]) ).
tcf(c_56242,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ( sdtpldt0(xq,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_55803,c_75]) ).
tcf(c_56243,plain,
( ( sK1 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ( sdtpldt0(xq,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_55803,c_74]) ).
tcf(c_56244,plain,
( sdtlseqdt0(sK1,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_55803,c_145]) ).
tcf(c_56245,plain,
( aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_55803,c_84]) ).
tcf(c_56246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(X0,xq))
| ( X0 = sK1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_55803,c_70]) ).
tcf(c_56247,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_55803,c_76]) ).
tcf(c_56248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(sK1,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_55803,c_68]) ).
tcf(c_56249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xq,sK1))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_55803,c_68]) ).
tcf(c_56250,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,sK1) ),
inference(superposition,[status(thm)],[c_55803,c_98]) ).
tcf(c_56251,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_55803,c_77]) ).
tcf(c_56252,plain,
aNaturalNumber0(sdtpldt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_56245,c_62,c_55]) ).
tcf(c_56253,plain,
sdtlseqdt0(sK1,sdtpldt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_56244,c_62,c_55]) ).
tcf(c_56254,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56239,c_62,c_55]) ).
tcf(c_56257,plain,
( ( sK1 = sz00 )
| ( sdtpldt0(xq,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56243,c_62,c_55]) ).
tcf(c_56260,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56242,c_62,c_55]) ).
tcf(c_56263,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != sdtpldt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56251,c_62,c_55]) ).
tcf(c_56267,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56250,c_62,c_55]) ).
tcf(c_56272,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK1,X0) != sdtpldt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56247,c_62,c_55]) ).
tcf(c_56276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sdtpldt0(xq,sK1))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56249,c_62,c_55]) ).
tcf(c_56281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(sK1,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56248,c_62,c_55]) ).
tcf(c_56286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(X0,xq))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56246,c_62,c_55]) ).
tcf(c_56291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sdtpldt0(xq,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56234,c_62,c_55]) ).
tcf(c_56296,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56238,c_62,c_55]) ).
tcf(c_56301,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56235,c_62,c_55]) ).
tcf(c_56307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK1,X0),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56237,c_62,c_55]) ).
tcf(c_56315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56236,c_62,c_55]) ).
tcf(c_56414,plain,
sdtpldt0(sdtpldt0(xq,sK1),sK1) = sdtpldt0(sK1,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2703]) ).
tcf(c_56415,plain,
sdtpldt0(sdtpldt0(xq,sK1),sK0) = sdtpldt0(sK0,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2702]) ).
tcf(c_56416,plain,
sdtpldt0(sdtpldt0(xq,sK1),xn) = sdtpldt0(xn,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2701]) ).
tcf(c_56417,plain,
sdtpldt0(sdtpldt0(xq,sK1),xm) = sdtpldt0(xm,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2700]) ).
tcf(c_56418,plain,
sdtpldt0(sdtpldt0(xq,sK1),xl) = sdtpldt0(xl,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2699]) ).
tcf(c_56419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xq,sK1)),sdtasdt0(X0,sdtpldt0(xq,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xq,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56252,c_79]) ).
tcf(c_56420,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sK1),X1),sdtasdt0(sdtpldt0(xq,sK1),X0)) = sdtasdt0(sdtpldt0(xq,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56252,c_78]) ).
tcf(c_56421,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sK1),X1),X0) = sdtasdt0(sdtpldt0(xq,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56252,c_95]) ).
tcf(c_56422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sK1),X1),X0) = sdtpldt0(sdtpldt0(xq,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56252,c_82]) ).
tcf(c_56423,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xq,sK1),X0),sdtpldt0(xq,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56252,c_152]) ).
tcf(c_56424,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sK1),X0) = sdtasdt0(X0,sdtpldt0(xq,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56252,c_96]) ).
tcf(c_56425,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sK1),X0) = sdtpldt0(X0,sdtpldt0(xq,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56252,c_83]) ).
tcf(c_56426,plain,
sdtasdt0(sz00,sdtpldt0(xq,sK1)) = sz00,
inference(superposition,[status(thm)],[c_56252,c_94]) ).
tcf(c_56427,plain,
sdtasdt0(sdtpldt0(xq,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_56252,c_93]) ).
tcf(c_56428,plain,
sdtpldt0(sz00,sdtpldt0(xq,sK1)) = sdtpldt0(xq,sK1),
inference(superposition,[status(thm)],[c_56252,c_81]) ).
tcf(c_56429,plain,
sdtpldt0(sdtpldt0(xq,sK1),sz00) = sdtpldt0(xq,sK1),
inference(superposition,[status(thm)],[c_56252,c_80]) ).
tcf(c_56496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21028,c_70]) ).
tcf(c_56501,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21028,c_5155]) ).
tcf(c_56506,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21028,c_145]) ).
tcf(c_56508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_21028,c_70]) ).
tcf(c_56509,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_21028,c_76]) ).
tcf(c_56510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21028,c_68]) ).
tcf(c_56511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21028,c_68]) ).
tcf(c_56513,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_21028,c_77]) ).
tcf(c_56514,plain,
sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_56506,c_103,c_20938]) ).
tcf(c_56515,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56501,c_103,c_20938]) ).
tcf(c_56518,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56513,c_103,c_20938]) ).
tcf(c_56522,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56509,c_103,c_20938]) ).
tcf(c_56527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56510,c_103,c_20938]) ).
tcf(c_56532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56508,c_103,c_20938]) ).
tcf(c_56537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56496,c_103,c_20938]) ).
tcf(c_56542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56253,c_109]) ).
tcf(c_56543,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56253,c_11962]) ).
tcf(c_56544,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56253,c_8700]) ).
tcf(c_56546,plain,
( ( sdtpldt0(xq,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sK1) ),
inference(superposition,[status(thm)],[c_56253,c_110]) ).
tcf(c_56547,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56253,c_73]) ).
tcf(c_56548,plain,
( sdtlseqdt0(sK1,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56253,c_10288]) ).
tcf(c_56549,plain,
sdtpldt0(sK1,sK2(sK1,sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_56547,c_55,c_56252]) ).
tcf(c_56550,plain,
( ( sdtpldt0(xq,sK1) = sK1 )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56546,c_55,c_56252]) ).
tcf(c_56553,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56542,c_55,c_56252]) ).
tcf(c_56557,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56543,c_55,c_56252]) ).
tcf(c_56563,plain,
( sdtlseqdt0(sK1,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56548,c_55,c_56252]) ).
tcf(c_56570,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56143,c_89]) ).
tcf(c_56573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56143,c_18982]) ).
tcf(c_56575,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56143,c_15630]) ).
tcf(c_56585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ( sdtasdt0(X0,sdtpldt0(xp,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_56143,c_92]) ).
tcf(c_56586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56143,c_89]) ).
tcf(c_56587,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56585,c_103,c_55938]) ).
tcf(c_56592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56586,c_103,c_55938]) ).
tcf(c_56598,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56570,c_103,c_55938]) ).
tcf(c_56604,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56575,c_103,c_2614,c_55938]) ).
tcf(c_56609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56573,c_103,c_2614,c_55938]) ).
tcf(c_56933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56144,c_18291]) ).
tcf(c_56936,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ( sdtasdt0(sdtpldt0(xp,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_56144,c_91]) ).
tcf(c_56939,plain,
( doDivides0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56144,c_142]) ).
tcf(c_56941,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56144,c_87]) ).
tcf(c_56943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56144,c_87]) ).
tcf(c_56946,plain,
doDivides0(sdtpldt0(xp,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_56939,c_103,c_55938]) ).
tcf(c_56947,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56936,c_103,c_55938]) ).
tcf(c_56952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56943,c_103,c_55938]) ).
tcf(c_56958,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56941,c_103,c_55938]) ).
tcf(c_56964,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56933,c_103,c_2614,c_55938]) ).
tcf(c_56972,plain,
( ( sdtpldt0(xp,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK1),sdtsldt0(sz00,sdtpldt0(xp,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56946,c_106]) ).
tcf(c_56973,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56946,c_99]) ).
tcf(c_56974,plain,
( ( sdtasdt0(sdtpldt0(xp,sK1),sK3(sdtpldt0(xp,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56946,c_102]) ).
tcf(c_56975,plain,
sdtasdt0(sdtpldt0(xp,sK1),sK3(sdtpldt0(xp,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_56974,c_103,c_55938]) ).
tcf(c_56976,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56973,c_103,c_55938]) ).
tcf(c_56980,plain,
( ( sdtpldt0(xp,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,sK1),sdtsldt0(sz00,sdtpldt0(xp,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56972,c_103,c_55938]) ).
tcf(c_56987,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_55940,c_109]) ).
tcf(c_56988,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_55940,c_11962]) ).
tcf(c_56989,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_55940,c_8700]) ).
tcf(c_56991,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xp,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),xq) ),
inference(superposition,[status(thm)],[c_55940,c_110]) ).
tcf(c_56992,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_55940,c_73]) ).
tcf(c_56993,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56992,c_62,c_55938]) ).
tcf(c_56996,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xp,sK1) = xq )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56991,c_62,c_55938]) ).
tcf(c_57000,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56987,c_62,c_55938]) ).
tcf(c_57005,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56988,c_62,c_55938]) ).
tcf(c_57017,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56254,c_109]) ).
tcf(c_57018,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56254,c_11962]) ).
tcf(c_57019,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56254,c_8700]) ).
tcf(c_57021,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),xq) ),
inference(superposition,[status(thm)],[c_56254,c_110]) ).
tcf(c_57022,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56254,c_73]) ).
tcf(c_57024,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57022,c_62,c_56252]) ).
tcf(c_57027,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK1) = xq )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57021,c_62,c_56252]) ).
tcf(c_57031,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57017,c_62,c_56252]) ).
tcf(c_57036,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57018,c_62,c_56252]) ).
tcf(c_57050,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56426,c_89]) ).
tcf(c_57053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56426,c_18982]) ).
tcf(c_57055,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56426,c_15630]) ).
tcf(c_57065,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ( sdtasdt0(X0,sdtpldt0(xq,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_56426,c_92]) ).
tcf(c_57066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56426,c_89]) ).
tcf(c_57067,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xq,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57065,c_103,c_56252]) ).
tcf(c_57072,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57066,c_103,c_56252]) ).
tcf(c_57078,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,sK1)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57050,c_103,c_56252]) ).
tcf(c_57084,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57055,c_103,c_2614,c_56252]) ).
tcf(c_57089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57053,c_103,c_2614,c_56252]) ).
tcf(c_57147,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56427,c_18291]) ).
tcf(c_57150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ( sdtasdt0(sdtpldt0(xq,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_56427,c_91]) ).
tcf(c_57153,plain,
( doDivides0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56427,c_142]) ).
tcf(c_57155,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56427,c_87]) ).
tcf(c_57157,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56427,c_87]) ).
tcf(c_57160,plain,
doDivides0(sdtpldt0(xq,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_57153,c_103,c_56252]) ).
tcf(c_57161,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xq,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57150,c_103,c_56252]) ).
tcf(c_57166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57157,c_103,c_56252]) ).
tcf(c_57172,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,sK1),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57155,c_103,c_56252]) ).
tcf(c_57178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57147,c_103,c_2614,c_56252]) ).
tcf(c_57208,plain,
~ sdtlseqdt0(sdtpldt0(xn,xp),sz00),
inference(global_subsumption_just,[status(thm)],[c_41618,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_41579,c_48467]) ).
tcf(c_57226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21169,c_70]) ).
tcf(c_57238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21169,c_70]) ).
tcf(c_57239,plain,
! [X0: $i] :
( ( sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_21169,c_76]) ).
tcf(c_57240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))),X0) ),
inference(superposition,[status(thm)],[c_21169,c_68]) ).
tcf(c_57241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21169,c_68]) ).
tcf(c_57242,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ doDivides0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_21169,c_98]) ).
tcf(c_57243,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_21169,c_77]) ).
tcf(c_57244,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57243,c_2518]) ).
tcf(c_57249,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ doDivides0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57242,c_2518]) ).
tcf(c_57255,plain,
! [X0: $i] :
( ( sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtpldt0(xl,sdtasdt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57239,c_2518]) ).
tcf(c_57260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57238,c_2518]) ).
tcf(c_57266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57226,c_2518]) ).
tcf(c_57272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(X0,sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57241,c_2518]) ).
tcf(c_57278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(sK2(sdtasdt0(xl,xq),sdtpldt0(xl,sdtasdt0(xl,xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57240,c_2518]) ).
tcf(c_57290,plain,
( ( sdtpldt0(xq,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,sK1),sdtsldt0(sz00,sdtpldt0(xq,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_57160,c_106]) ).
tcf(c_57291,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_57160,c_99]) ).
tcf(c_57292,plain,
( ( sdtasdt0(sdtpldt0(xq,sK1),sK3(sdtpldt0(xq,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_57160,c_102]) ).
tcf(c_57293,plain,
sdtasdt0(sdtpldt0(xq,sK1),sK3(sdtpldt0(xq,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_57292,c_103,c_56252]) ).
tcf(c_57294,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57291,c_103,c_56252]) ).
tcf(c_57298,plain,
( ( sdtpldt0(xq,sK1) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,sK1),sdtsldt0(sz00,sdtpldt0(xq,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57290,c_103,c_56252]) ).
tcf(c_57301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK1)),sdtpldt0(xp,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56145,c_70]) ).
tcf(c_57303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56145,c_17825]) ).
tcf(c_57304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56145,c_17392]) ).
tcf(c_57305,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56145,c_14477]) ).
tcf(c_57311,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56145,c_145]) ).
tcf(c_57313,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(X0,sdtpldt0(xp,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56145,c_70]) ).
tcf(c_57314,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_56145,c_76]) ).
tcf(c_57315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),X0) ),
inference(superposition,[status(thm)],[c_56145,c_68]) ).
tcf(c_57316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56145,c_68]) ).
tcf(c_57318,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ( sdtpldt0(X0,sdtpldt0(xp,sK1)) != sdtpldt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_56145,c_77]) ).
tcf(c_57319,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_51524]) ).
tcf(c_57320,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_49956]) ).
tcf(c_57321,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56145,c_47638]) ).
tcf(c_57322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_41879]) ).
tcf(c_57323,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_46832]) ).
tcf(c_57324,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_43963]) ).
tcf(c_57325,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_43470]) ).
tcf(c_57326,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_43085]) ).
tcf(c_57327,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_42039]) ).
tcf(c_57328,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_35146]) ).
tcf(c_57329,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_26041]) ).
tcf(c_57330,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_26044]) ).
tcf(c_57331,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_56145,c_26052]) ).
tcf(c_57332,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_15930]) ).
tcf(c_57333,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_15792]) ).
tcf(c_57334,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_24215]) ).
tcf(c_57335,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_24215]) ).
tcf(c_57336,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_15931]) ).
tcf(c_57337,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_24885]) ).
tcf(c_57338,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_15793]) ).
tcf(c_57339,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_56145,c_8652]) ).
tcf(c_57340,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_56145,c_45030]) ).
tcf(c_57341,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_57311,c_103,c_55938]) ).
tcf(c_57342,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,sK1)) != sdtpldt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57318,c_103,c_55938]) ).
tcf(c_57346,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57314,c_103,c_55938]) ).
tcf(c_57350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(X0,sdtpldt0(xp,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57313,c_103,c_55938]) ).
tcf(c_57356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57316,c_103,c_55938]) ).
tcf(c_57361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57315,c_103,c_55938]) ).
tcf(c_57366,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57305,c_103,c_55938]) ).
tcf(c_57371,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57339,c_55938]) ).
tcf(c_57376,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57338,c_55938]) ).
tcf(c_57382,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57336,c_55938]) ).
tcf(c_57388,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57335,c_56145]) ).
tcf(c_57389,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57388,c_55938]) ).
tcf(c_57397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57303,c_103,c_55938]) ).
tcf(c_57405,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57333,c_55938]) ).
tcf(c_57412,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57332,c_55938]) ).
tcf(c_57419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57304,c_103,c_55938]) ).
tcf(c_57434,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57331,c_56145]) ).
tcf(c_57435,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57434,c_55938]) ).
tcf(c_57441,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57330,c_56145]) ).
tcf(c_57442,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57441,c_55938]) ).
tcf(c_57449,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57328,c_55938]) ).
tcf(c_57457,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57329,c_56145]) ).
tcf(c_57458,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57457,c_55938]) ).
tcf(c_57466,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57323,c_56145]) ).
tcf(c_57467,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57466,c_55938]) ).
tcf(c_57474,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1)) ),
inference(light_normalisation,[status(thm)],[c_57321,c_56145]) ).
tcf(c_57475,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57474,c_55938]) ).
tcf(c_57482,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57327,c_56145]) ).
tcf(c_57483,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57482,c_55938]) ).
tcf(c_57491,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57326,c_55938]) ).
tcf(c_57499,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57325,c_55938]) ).
tcf(c_57507,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57324,c_55938]) ).
tcf(c_57514,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57340,c_56145]) ).
tcf(c_57515,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57514,c_55938]) ).
tcf(c_57524,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57320,c_56145]) ).
tcf(c_57525,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57524,c_55938]) ).
tcf(c_57533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57322,c_56145]) ).
tcf(c_57534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57533,c_55938]) ).
tcf(c_57544,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57319,c_56145]) ).
tcf(c_57545,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57544,c_55938]) ).
tcf(c_57600,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_57341,c_109]) ).
tcf(c_57604,plain,
( ( sdtpldt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_57341,c_110]) ).
tcf(c_57605,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_57341,c_73]) ).
tcf(c_57606,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_57605,c_103,c_55938]) ).
tcf(c_57607,plain,
( ( sdtpldt0(xp,sK1) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57604,c_103,c_55938]) ).
tcf(c_57610,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57600,c_103,c_55938]) ).
tcf(c_57614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56146,c_70]) ).
tcf(c_57615,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56146,c_24035]) ).
tcf(c_57616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56146,c_17825]) ).
tcf(c_57617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56146,c_17392]) ).
tcf(c_57618,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56146,c_14477]) ).
tcf(c_57619,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56146,c_5155]) ).
tcf(c_57624,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56146,c_145]) ).
tcf(c_57626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),X0) ),
inference(superposition,[status(thm)],[c_56146,c_70]) ).
tcf(c_57627,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ( sdtpldt0(sdtpldt0(xp,sK1),X0) != sdtpldt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_56146,c_76]) ).
tcf(c_57628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(sdtpldt0(xp,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56146,c_68]) ).
tcf(c_57629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK1),X0),sdtpldt0(xp,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_56146,c_68]) ).
tcf(c_57631,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_56146,c_77]) ).
tcf(c_57632,plain,
sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_57624,c_103,c_55938]) ).
tcf(c_57633,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57619,c_103,c_55938]) ).
tcf(c_57636,plain,
! [X0: $i] :
( ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57631,c_103,c_55938]) ).
tcf(c_57640,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,sK1),X0) != sdtpldt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57627,c_103,c_55938]) ).
tcf(c_57645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(sdtpldt0(xp,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57628,c_103,c_55938]) ).
tcf(c_57650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57626,c_103,c_55938]) ).
tcf(c_57655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57614,c_103,c_55938]) ).
tcf(c_57660,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57618,c_103,c_55938]) ).
tcf(c_57665,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57615,c_103,c_55938]) ).
tcf(c_57671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57617,c_103,c_55938]) ).
tcf(c_57679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57616,c_103,c_55938]) ).
tcf(c_57689,plain,
( sdtlseqdt0(sdtpldt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_57632,c_8700]) ).
tcf(c_57692,plain,
( ( sdtpldt0(sdtpldt0(xp,sK1),sK2(sdtpldt0(xp,sK1),sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_57632,c_73]) ).
tcf(c_57693,plain,
sdtpldt0(sdtpldt0(xp,sK1),sK2(sdtpldt0(xp,sK1),sdtpldt0(xp,sK1))) = sdtpldt0(xp,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_57692,c_55938]) ).
tcf(c_57699,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53565,c_109]) ).
tcf(c_57703,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(xp,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53565,c_110]) ).
tcf(c_57704,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53565,c_73]) ).
tcf(c_57705,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57704,c_59,c_49492]) ).
tcf(c_57708,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57703,c_59,c_49492]) ).
tcf(c_57712,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57699,c_59,c_49492]) ).
tcf(c_57721,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_54782,c_109]) ).
tcf(c_57725,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(xp,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_54782,c_110]) ).
tcf(c_57726,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(sdtpldt0(xp,sK0),sK2(sdtpldt0(xp,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_54782,c_73]) ).
tcf(c_57727,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(sdtpldt0(xp,sK0),sK2(sdtpldt0(xp,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57726,c_59,c_49747]) ).
tcf(c_57730,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57725,c_59,c_49747]) ).
tcf(c_57734,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57721,c_59,c_49747]) ).
tcf(c_57748,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55397,c_109]) ).
tcf(c_57752,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55397,c_110]) ).
tcf(c_57753,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55397,c_73]) ).
tcf(c_57754,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57753,c_59,c_51000]) ).
tcf(c_57757,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57752,c_59,c_51000]) ).
tcf(c_57761,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57748,c_59,c_51000]) ).
tcf(c_57829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21231,c_70]) ).
tcf(c_57841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21231,c_70]) ).
tcf(c_57842,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_21231,c_76]) ).
tcf(c_57843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_21231,c_68]) ).
tcf(c_57844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21231,c_68]) ).
tcf(c_57846,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_21231,c_77]) ).
tcf(c_57847,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57846,c_14661]) ).
tcf(c_57852,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57842,c_14661]) ).
tcf(c_57857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57841,c_14661]) ).
tcf(c_57863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))),sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57829,c_14661]) ).
tcf(c_57869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57844,c_14661]) ).
tcf(c_57875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57843,c_14661]) ).
tcf(c_57886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK1)),sdtpldt0(xq,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56428,c_70]) ).
tcf(c_57888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56428,c_17825]) ).
tcf(c_57889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56428,c_17392]) ).
tcf(c_57890,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56428,c_14477]) ).
tcf(c_57896,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56428,c_145]) ).
tcf(c_57898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(X0,sdtpldt0(xq,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56428,c_70]) ).
tcf(c_57899,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_56428,c_76]) ).
tcf(c_57900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),X0) ),
inference(superposition,[status(thm)],[c_56428,c_68]) ).
tcf(c_57901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56428,c_68]) ).
tcf(c_57903,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ( sdtpldt0(X0,sdtpldt0(xq,sK1)) != sdtpldt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_56428,c_77]) ).
tcf(c_57904,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_51524]) ).
tcf(c_57905,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_49956]) ).
tcf(c_57906,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56428,c_47638]) ).
tcf(c_57907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_41879]) ).
tcf(c_57908,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_46832]) ).
tcf(c_57909,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_43963]) ).
tcf(c_57910,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_43470]) ).
tcf(c_57911,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_43085]) ).
tcf(c_57912,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_42039]) ).
tcf(c_57913,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_35146]) ).
tcf(c_57914,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_26041]) ).
tcf(c_57915,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_26044]) ).
tcf(c_57916,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_56428,c_26052]) ).
tcf(c_57917,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_15930]) ).
tcf(c_57918,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_15792]) ).
tcf(c_57919,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_24215]) ).
tcf(c_57920,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_24215]) ).
tcf(c_57921,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_15931]) ).
tcf(c_57922,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_24885]) ).
tcf(c_57923,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_15793]) ).
tcf(c_57924,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xq,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_56428,c_8652]) ).
tcf(c_57925,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_56428,c_45030]) ).
tcf(c_57926,plain,
sdtlseqdt0(sz00,sdtpldt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_57896,c_103,c_56252]) ).
tcf(c_57927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xq,sK1)) != sdtpldt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57903,c_103,c_56252]) ).
tcf(c_57931,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57899,c_103,c_56252]) ).
tcf(c_57935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(X0,sdtpldt0(xq,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57898,c_103,c_56252]) ).
tcf(c_57941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57901,c_103,c_56252]) ).
tcf(c_57946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57900,c_103,c_56252]) ).
tcf(c_57951,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57890,c_103,c_56252]) ).
tcf(c_57956,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xq,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57924,c_56252]) ).
tcf(c_57961,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57923,c_56252]) ).
tcf(c_57967,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57921,c_56252]) ).
tcf(c_57973,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57920,c_56428]) ).
tcf(c_57974,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57973,c_56252]) ).
tcf(c_57982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57888,c_103,c_56252]) ).
tcf(c_57990,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57918,c_56252]) ).
tcf(c_57997,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57917,c_56252]) ).
tcf(c_58004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57889,c_103,c_56252]) ).
tcf(c_58019,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57916,c_56428]) ).
tcf(c_58020,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58019,c_56252]) ).
tcf(c_58026,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57915,c_56428]) ).
tcf(c_58027,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58026,c_56252]) ).
tcf(c_58034,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57913,c_56252]) ).
tcf(c_58042,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57914,c_56428]) ).
tcf(c_58043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58042,c_56252]) ).
tcf(c_58051,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57908,c_56428]) ).
tcf(c_58052,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58051,c_56252]) ).
tcf(c_58059,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1)) ),
inference(light_normalisation,[status(thm)],[c_57906,c_56428]) ).
tcf(c_58060,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58059,c_56252]) ).
tcf(c_58067,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57912,c_56428]) ).
tcf(c_58068,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58067,c_56252]) ).
tcf(c_58076,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57911,c_56252]) ).
tcf(c_58084,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57910,c_56252]) ).
tcf(c_58092,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57909,c_56252]) ).
tcf(c_58099,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57925,c_56428]) ).
tcf(c_58100,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58099,c_56252]) ).
tcf(c_58109,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57905,c_56428]) ).
tcf(c_58110,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58109,c_56252]) ).
tcf(c_58118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57907,c_56428]) ).
tcf(c_58119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58118,c_56252]) ).
tcf(c_58129,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_57904,c_56428]) ).
tcf(c_58130,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58129,c_56252]) ).
tcf(c_58306,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_57926,c_109]) ).
tcf(c_58310,plain,
( ( sdtpldt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_57926,c_110]) ).
tcf(c_58311,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_57926,c_73]) ).
tcf(c_58313,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_58311,c_103,c_56252]) ).
tcf(c_58314,plain,
( ( sdtpldt0(xq,sK1) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58310,c_103,c_56252]) ).
tcf(c_58317,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58306,c_103,c_56252]) ).
tcf(c_58321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56429,c_70]) ).
tcf(c_58322,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56429,c_24035]) ).
tcf(c_58323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56429,c_17825]) ).
tcf(c_58324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56429,c_17392]) ).
tcf(c_58325,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_56429,c_14477]) ).
tcf(c_58326,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56429,c_5155]) ).
tcf(c_58331,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56429,c_145]) ).
tcf(c_58333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),X0) ),
inference(superposition,[status(thm)],[c_56429,c_70]) ).
tcf(c_58334,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ( sdtpldt0(sdtpldt0(xq,sK1),X0) != sdtpldt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_56429,c_76]) ).
tcf(c_58335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(sdtpldt0(xq,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56429,c_68]) ).
tcf(c_58336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,sK1),X0),sdtpldt0(xq,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_56429,c_68]) ).
tcf(c_58338,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_56429,c_77]) ).
tcf(c_58339,plain,
sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_58331,c_103,c_56252]) ).
tcf(c_58340,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58326,c_103,c_56252]) ).
tcf(c_58343,plain,
! [X0: $i] :
( ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58338,c_103,c_56252]) ).
tcf(c_58347,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xq,sK1),X0) != sdtpldt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58334,c_103,c_56252]) ).
tcf(c_58352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(sdtpldt0(xq,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58335,c_103,c_56252]) ).
tcf(c_58357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK1),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58333,c_103,c_56252]) ).
tcf(c_58362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58321,c_103,c_56252]) ).
tcf(c_58367,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58325,c_103,c_56252]) ).
tcf(c_58372,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58322,c_103,c_56252]) ).
tcf(c_58378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58324,c_103,c_56252]) ).
tcf(c_58386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58323,c_103,c_56252]) ).
tcf(c_58396,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_58339,c_8700]) ).
tcf(c_58399,plain,
( ( sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58339,c_73]) ).
tcf(c_58400,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58339,c_10288]) ).
tcf(c_58401,plain,
sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),sdtpldt0(xq,sK1))) = sdtpldt0(xq,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_58399,c_56252]) ).
tcf(c_58408,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_57633,c_109]) ).
tcf(c_58412,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(xp,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_57633,c_110]) ).
tcf(c_58413,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(sdtpldt0(xp,sK1),sK2(sdtpldt0(xp,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_57633,c_73]) ).
tcf(c_58414,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(sdtpldt0(xp,sK1),sK2(sdtpldt0(xp,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58413,c_59,c_55938]) ).
tcf(c_58417,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58412,c_59,c_55938]) ).
tcf(c_58421,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58408,c_59,c_55938]) ).
tcf(c_58430,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58340,c_109]) ).
tcf(c_58434,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58340,c_110]) ).
tcf(c_58435,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58340,c_73]) ).
tcf(c_58436,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58435,c_59,c_56252]) ).
tcf(c_58439,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58434,c_59,c_56252]) ).
tcf(c_58443,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58430,c_59,c_56252]) ).
tcf(c_58458,plain,
sdtpldt0(xp,xq) = sdtpldt0(xq,xp),
inference(superposition,[status(thm)],[c_62,c_2704]) ).
tcf(c_58459,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2704]) ).
tcf(c_58460,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),xp) = sdtpldt0(xp,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2704]) ).
tcf(c_58461,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2704]) ).
tcf(c_58462,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xp) = sdtpldt0(xp,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2704]) ).
tcf(c_58463,plain,
sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
inference(superposition,[status(thm)],[c_103,c_2704]) ).
tcf(c_58464,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_105,c_2704]) ).
tcf(c_58465,plain,
sdtpldt0(sdtasdt0(xl,xq),xp) = sdtpldt0(xp,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2704]) ).
tcf(c_58466,plain,
sdtpldt0(sdtpldt0(xl,xm),xp) = sdtpldt0(xp,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2704]) ).
tcf(c_58467,plain,
sdtpldt0(sdtpldt0(xl,xn),xp) = sdtpldt0(xp,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2704]) ).
tcf(c_58468,plain,
sdtpldt0(sdtpldt0(xl,sK0),xp) = sdtpldt0(xp,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2704]) ).
tcf(c_58469,plain,
sdtpldt0(sdtpldt0(xl,sK1),xp) = sdtpldt0(xp,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2704]) ).
tcf(c_58470,plain,
sdtpldt0(sdtpldt0(xl,xp),xp) = sdtpldt0(xp,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2704]) ).
tcf(c_58471,plain,
sdtpldt0(sdtpldt0(xl,xq),xp) = sdtpldt0(xp,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2704]) ).
tcf(c_58472,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2704]) ).
tcf(c_58473,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2704]) ).
tcf(c_58474,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2704]) ).
tcf(c_58475,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2704]) ).
tcf(c_58476,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2704]) ).
tcf(c_58477,plain,
sdtpldt0(sdtpldt0(xm,sK0),xp) = sdtpldt0(xp,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2704]) ).
tcf(c_58478,plain,
sdtpldt0(sdtpldt0(xm,sK1),xp) = sdtpldt0(xp,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2704]) ).
tcf(c_58479,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2704]) ).
tcf(c_58480,plain,
sdtpldt0(sdtpldt0(xm,xp),xp) = sdtpldt0(xp,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2704]) ).
tcf(c_58481,plain,
sdtpldt0(sdtpldt0(xm,xq),xp) = sdtpldt0(xp,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2704]) ).
tcf(c_58482,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2704]) ).
tcf(c_58483,plain,
sdtpldt0(sdtpldt0(xn,sK0),xp) = sdtpldt0(xp,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2704]) ).
tcf(c_58484,plain,
sdtpldt0(sdtpldt0(xn,sK1),xp) = sdtpldt0(xp,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2704]) ).
tcf(c_58485,plain,
sdtpldt0(sdtpldt0(xn,xp),xp) = sdtpldt0(xp,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2704]) ).
tcf(c_58486,plain,
sdtpldt0(sdtpldt0(xn,xq),xp) = sdtpldt0(xp,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2704]) ).
tcf(c_58487,plain,
sdtpldt0(sdtpldt0(sK0,sK1),xp) = sdtpldt0(xp,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2704]) ).
tcf(c_58488,plain,
sdtpldt0(sdtpldt0(xp,sK0),xp) = sdtpldt0(xp,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2704]) ).
tcf(c_58489,plain,
sdtpldt0(sdtpldt0(xq,sK0),xp) = sdtpldt0(xp,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2704]) ).
tcf(c_58490,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2704]) ).
tcf(c_58491,plain,
sdtpldt0(sdtpldt0(xp,sK1),xp) = sdtpldt0(xp,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2704]) ).
tcf(c_58492,plain,
sdtpldt0(sdtpldt0(xq,sK1),xp) = sdtpldt0(xp,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2704]) ).
tcf(c_58635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_58458,c_70]) ).
tcf(c_58637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_58458,c_17825]) ).
tcf(c_58638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_58458,c_17392]) ).
tcf(c_58639,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_58458,c_14477]) ).
tcf(c_58643,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_58458,c_75]) ).
tcf(c_58644,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_58458,c_74]) ).
tcf(c_58645,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_58458,c_145]) ).
tcf(c_58646,plain,
( aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_58458,c_84]) ).
tcf(c_58647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_58458,c_70]) ).
tcf(c_58648,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_58458,c_76]) ).
tcf(c_58649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xq,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_58458,c_68]) ).
tcf(c_58650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xp,xq))
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_58458,c_68]) ).
tcf(c_58651,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_58458,c_98]) ).
tcf(c_58652,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_58458,c_77]) ).
tcf(c_58653,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_58458,c_28598]) ).
tcf(c_58657,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_58458,c_6431]) ).
tcf(c_58658,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_58458,c_6346]) ).
tcf(c_58659,plain,
( ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xp,xq) != xp ) ),
inference(superposition,[status(thm)],[c_58458,c_4453]) ).
tcf(c_58661,plain,
aNaturalNumber0(sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_58646,c_62,c_59]) ).
tcf(c_58662,plain,
sdtlseqdt0(xq,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_58645,c_62,c_59]) ).
tcf(c_58663,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58644,c_62,c_59]) ).
tcf(c_58666,plain,
( ( sz00 = xp )
| ( sdtpldt0(xp,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58643,c_62,c_59]) ).
tcf(c_58669,plain,
( ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(xp,xq) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58659,c_59]) ).
tcf(c_58673,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58652,c_62,c_59]) ).
tcf(c_58677,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58651,c_62,c_59]) ).
tcf(c_58682,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58648,c_62,c_59]) ).
tcf(c_58686,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58658,c_59]) ).
tcf(c_58691,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58657,c_59]) ).
tcf(c_58696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xp,xq))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58650,c_62,c_59]) ).
tcf(c_58701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xq,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58649,c_62,c_59]) ).
tcf(c_58706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,xp))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58647,c_62,c_59]) ).
tcf(c_58711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58635,c_62,c_59]) ).
tcf(c_58716,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58639,c_62,c_59]) ).
tcf(c_58721,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58653,c_59]) ).
tcf(c_58727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58638,c_62,c_59]) ).
tcf(c_58735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58637,c_62,c_59]) ).
tcf(c_58819,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK0),sz00),
inference(global_subsumption_just,[status(thm)],[c_49791,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_49755,c_54623]) ).
tcf(c_58845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_70]) ).
tcf(c_58857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_70]) ).
tcf(c_58858,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_21600,c_76]) ).
tcf(c_58859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_21600,c_68]) ).
tcf(c_58860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sK2(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_68]) ).
tcf(c_58861,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_98]) ).
tcf(c_58862,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_21600,c_77]) ).
tcf(c_58863,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_21600,c_51524]) ).
tcf(c_58864,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_21600,c_49956]) ).
tcf(c_58865,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_21600,c_47638]) ).
tcf(c_58867,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_21600,c_46832]) ).
tcf(c_58868,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_21600,c_43963]) ).
tcf(c_58869,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_21600,c_43470]) ).
tcf(c_58870,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_21600,c_43085]) ).
tcf(c_58871,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_21600,c_42039]) ).
tcf(c_58872,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_21600,c_35146]) ).
tcf(c_58875,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_21600,c_26052]) ).
tcf(c_58876,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_15930]) ).
tcf(c_58877,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_15792]) ).
tcf(c_58878,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_24215]) ).
tcf(c_58879,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_24215]) ).
tcf(c_58880,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_15931]) ).
tcf(c_58881,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_21600,c_24885]) ).
tcf(c_58882,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_15793]) ).
tcf(c_58883,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_21600,c_8652]) ).
tcf(c_58884,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_21600,c_45030]) ).
tcf(c_58885,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58862,c_103]) ).
tcf(c_58890,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58861,c_103]) ).
tcf(c_58896,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58858,c_103]) ).
tcf(c_58901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58857,c_103]) ).
tcf(c_58908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xn))
| ( sK2(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58860,c_103]) ).
tcf(c_58914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58859,c_103]) ).
tcf(c_58937,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_58879,c_21600]) ).
tcf(c_58966,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_58875,c_21600]) ).
tcf(c_58975,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_58867,c_21600]) ).
tcf(c_58976,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58975,c_14856]) ).
tcf(c_59000,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_58865,c_21600]) ).
tcf(c_59001,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59000,c_14856]) ).
tcf(c_59016,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_58871,c_21600]) ).
tcf(c_59017,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59016,c_14856]) ).
tcf(c_59026,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_58884,c_21600]) ).
tcf(c_59027,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59026,c_14856]) ).
tcf(c_59037,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_58864,c_21600]) ).
tcf(c_59038,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59037,c_14856]) ).
tcf(c_59047,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_58863,c_21600]) ).
tcf(c_59048,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59047,c_14856]) ).
tcf(c_59309,plain,
sdtpldt0(sdtpldt0(xp,xq),xp) = sdtpldt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2704]) ).
tcf(c_59310,plain,
sdtpldt0(sdtpldt0(xp,xq),sK1) = sdtpldt0(sK1,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2703]) ).
tcf(c_59311,plain,
sdtpldt0(sdtpldt0(xp,xq),sK0) = sdtpldt0(sK0,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2702]) ).
tcf(c_59312,plain,
sdtpldt0(sdtpldt0(xp,xq),xn) = sdtpldt0(xn,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2701]) ).
tcf(c_59313,plain,
sdtpldt0(sdtpldt0(xp,xq),xm) = sdtpldt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2700]) ).
tcf(c_59314,plain,
sdtpldt0(sdtpldt0(xp,xq),xl) = sdtpldt0(xl,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2699]) ).
tcf(c_59315,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,xq)),sdtasdt0(X0,sdtpldt0(xp,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58661,c_79]) ).
tcf(c_59316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xq),X1),sdtasdt0(sdtpldt0(xp,xq),X0)) = sdtasdt0(sdtpldt0(xp,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58661,c_78]) ).
tcf(c_59317,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xq),X1),X0) = sdtasdt0(sdtpldt0(xp,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58661,c_95]) ).
tcf(c_59318,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xq),X1),X0) = sdtpldt0(sdtpldt0(xp,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58661,c_82]) ).
tcf(c_59319,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xq),X0),sdtpldt0(xp,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58661,c_152]) ).
tcf(c_59320,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xq),X0) = sdtasdt0(X0,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58661,c_96]) ).
tcf(c_59321,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xq),X0) = sdtpldt0(X0,sdtpldt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58661,c_83]) ).
tcf(c_59322,plain,
sdtasdt0(sz00,sdtpldt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_58661,c_94]) ).
tcf(c_59323,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_58661,c_93]) ).
tcf(c_59324,plain,
sdtpldt0(sz00,sdtpldt0(xp,xq)) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_58661,c_81]) ).
tcf(c_59325,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_58661,c_80]) ).
tcf(c_59392,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_58662,c_109]) ).
tcf(c_59393,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_58662,c_11962]) ).
tcf(c_59394,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_58662,c_8700]) ).
tcf(c_59396,plain,
( ( sdtpldt0(xp,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xq) ),
inference(superposition,[status(thm)],[c_58662,c_110]) ).
tcf(c_59397,plain,
( ( sdtpldt0(xq,sK2(xq,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_58662,c_73]) ).
tcf(c_59398,plain,
sdtpldt0(xq,sK2(xq,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_59397,c_62,c_58661]) ).
tcf(c_59399,plain,
( ( sdtpldt0(xp,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59396,c_62,c_58661]) ).
tcf(c_59402,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59392,c_62,c_58661]) ).
tcf(c_59406,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59393,c_62,c_58661]) ).
tcf(c_59413,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59322,c_89]) ).
tcf(c_59416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59322,c_18982]) ).
tcf(c_59418,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59322,c_15630]) ).
tcf(c_59428,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtasdt0(X0,sdtpldt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_59322,c_92]) ).
tcf(c_59429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59322,c_89]) ).
tcf(c_59430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59428,c_103,c_58661]) ).
tcf(c_59435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59429,c_103,c_58661]) ).
tcf(c_59441,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59413,c_103,c_58661]) ).
tcf(c_59447,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59418,c_103,c_2614,c_58661]) ).
tcf(c_59452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59416,c_103,c_2614,c_58661]) ).
tcf(c_59464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59323,c_18291]) ).
tcf(c_59467,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtasdt0(sdtpldt0(xp,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_59323,c_91]) ).
tcf(c_59470,plain,
( doDivides0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59323,c_142]) ).
tcf(c_59472,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59323,c_87]) ).
tcf(c_59474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59323,c_87]) ).
tcf(c_59477,plain,
doDivides0(sdtpldt0(xp,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_59470,c_103,c_58661]) ).
tcf(c_59478,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59467,c_103,c_58661]) ).
tcf(c_59483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59474,c_103,c_58661]) ).
tcf(c_59489,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59472,c_103,c_58661]) ).
tcf(c_59495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59464,c_103,c_2614,c_58661]) ).
tcf(c_59503,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xq),sdtsldt0(sz00,sdtpldt0(xp,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59477,c_106]) ).
tcf(c_59504,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59477,c_99]) ).
tcf(c_59505,plain,
( ( sdtasdt0(sdtpldt0(xp,xq),sK3(sdtpldt0(xp,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59477,c_102]) ).
tcf(c_59506,plain,
sdtasdt0(sdtpldt0(xp,xq),sK3(sdtpldt0(xp,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_59505,c_103,c_58661]) ).
tcf(c_59507,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59504,c_103,c_58661]) ).
tcf(c_59511,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xq),sdtsldt0(sz00,sdtpldt0(xp,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59503,c_103,c_58661]) ).
tcf(c_59514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xq)),sdtpldt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59324,c_70]) ).
tcf(c_59516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_59324,c_17825]) ).
tcf(c_59517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59324,c_17392]) ).
tcf(c_59518,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_59324,c_14477]) ).
tcf(c_59524,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59324,c_145]) ).
tcf(c_59526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59324,c_70]) ).
tcf(c_59527,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_59324,c_76]) ).
tcf(c_59528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_59324,c_68]) ).
tcf(c_59529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59324,c_68]) ).
tcf(c_59531,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(X0,sdtpldt0(xp,xq)) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_59324,c_77]) ).
tcf(c_59532,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_51524]) ).
tcf(c_59533,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_49956]) ).
tcf(c_59534,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59324,c_47638]) ).
tcf(c_59535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_41879]) ).
tcf(c_59536,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_46832]) ).
tcf(c_59537,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_43963]) ).
tcf(c_59538,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_43470]) ).
tcf(c_59539,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_43085]) ).
tcf(c_59540,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_42039]) ).
tcf(c_59541,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_35146]) ).
tcf(c_59542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_26041]) ).
tcf(c_59543,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_26044]) ).
tcf(c_59544,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,xq)),sz00) ),
inference(superposition,[status(thm)],[c_59324,c_26052]) ).
tcf(c_59545,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_15930]) ).
tcf(c_59547,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_24215]) ).
tcf(c_59548,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_24215]) ).
tcf(c_59549,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_15931]) ).
tcf(c_59550,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_24885]) ).
tcf(c_59551,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_15793]) ).
tcf(c_59552,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_59324,c_8652]) ).
tcf(c_59553,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_59324,c_45030]) ).
tcf(c_59554,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_59524,c_103,c_58661]) ).
tcf(c_59555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xq)) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59531,c_103,c_58661]) ).
tcf(c_59559,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59527,c_103,c_58661]) ).
tcf(c_59563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sdtpldt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59526,c_103,c_58661]) ).
tcf(c_59569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59529,c_103,c_58661]) ).
tcf(c_59574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59528,c_103,c_58661]) ).
tcf(c_59579,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59518,c_103,c_58661]) ).
tcf(c_59584,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59552,c_58661]) ).
tcf(c_59589,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59551,c_58661]) ).
tcf(c_59595,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59549,c_58661]) ).
tcf(c_59601,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59548,c_59324]) ).
tcf(c_59602,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59601,c_58661]) ).
tcf(c_59610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59516,c_103,c_58661]) ).
tcf(c_59618,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59545,c_58661]) ).
tcf(c_59625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59517,c_103,c_58661]) ).
tcf(c_59640,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59544,c_59324]) ).
tcf(c_59641,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59640,c_58661]) ).
tcf(c_59647,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59543,c_59324]) ).
tcf(c_59648,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59647,c_58661]) ).
tcf(c_59655,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59541,c_58661]) ).
tcf(c_59663,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59542,c_59324]) ).
tcf(c_59664,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59663,c_58661]) ).
tcf(c_59672,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59536,c_59324]) ).
tcf(c_59673,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59672,c_58661]) ).
tcf(c_59680,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq)) ),
inference(light_normalisation,[status(thm)],[c_59534,c_59324]) ).
tcf(c_59681,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59680,c_58661]) ).
tcf(c_59688,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59540,c_59324]) ).
tcf(c_59689,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59688,c_58661]) ).
tcf(c_59697,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59539,c_58661]) ).
tcf(c_59705,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59538,c_58661]) ).
tcf(c_59713,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59537,c_58661]) ).
tcf(c_59720,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59553,c_59324]) ).
tcf(c_59721,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59720,c_58661]) ).
tcf(c_59730,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59533,c_59324]) ).
tcf(c_59731,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59730,c_58661]) ).
tcf(c_59739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59535,c_59324]) ).
tcf(c_59740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59739,c_58661]) ).
tcf(c_59750,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_59532,c_59324]) ).
tcf(c_59751,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59750,c_58661]) ).
tcf(c_59877,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59554,c_109]) ).
tcf(c_59881,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_59554,c_110]) ).
tcf(c_59882,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59554,c_73]) ).
tcf(c_59883,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_59882,c_103,c_58661]) ).
tcf(c_59884,plain,
( ( sdtpldt0(xp,xq) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59881,c_103,c_58661]) ).
tcf(c_59887,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59877,c_103,c_58661]) ).
tcf(c_59897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59325,c_70]) ).
tcf(c_59898,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_59325,c_24035]) ).
tcf(c_59899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59325,c_17825]) ).
tcf(c_59900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_59325,c_17392]) ).
tcf(c_59901,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_59325,c_14477]) ).
tcf(c_59907,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59325,c_145]) ).
tcf(c_59909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_59325,c_70]) ).
tcf(c_59910,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(sdtpldt0(xp,xq),X0) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_59325,c_76]) ).
tcf(c_59911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59325,c_68]) ).
tcf(c_59912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xq),X0),sdtpldt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59325,c_68]) ).
tcf(c_59914,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_59325,c_77]) ).
tcf(c_59915,plain,
sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_59907,c_103,c_58661]) ).
tcf(c_59916,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59914,c_103,c_58661]) ).
tcf(c_59920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xq),X0) != sdtpldt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59910,c_103,c_58661]) ).
tcf(c_59925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(sdtpldt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59911,c_103,c_58661]) ).
tcf(c_59930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59909,c_103,c_58661]) ).
tcf(c_59935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xq))
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59897,c_103,c_58661]) ).
tcf(c_59940,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59901,c_103,c_58661]) ).
tcf(c_59945,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59898,c_103,c_58661]) ).
tcf(c_59951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59900,c_103,c_58661]) ).
tcf(c_59959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59899,c_103,c_58661]) ).
tcf(c_60035,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_58881,c_109]) ).
tcf(c_60036,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_11962]) ).
tcf(c_60037,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_8700]) ).
tcf(c_60038,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_3979]) ).
tcf(c_60039,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_58881,c_110]) ).
tcf(c_60040,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_73]) ).
tcf(c_60041,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_5863]) ).
tcf(c_60042,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_26045]) ).
tcf(c_60043,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_8679]) ).
tcf(c_60358,plain,
~ sdtlseqdt0(sdtpldt0(xp,sK1),sz00),
inference(global_subsumption_just,[status(thm)],[c_55982,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_55946,c_57607]) ).
tcf(c_60378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_70]) ).
tcf(c_60379,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_21606,c_24035]) ).
tcf(c_60380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_21606,c_17825]) ).
tcf(c_60381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_21606,c_17392]) ).
tcf(c_60382,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_21606,c_14477]) ).
tcf(c_60383,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_5155]) ).
tcf(c_60386,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_21606,c_75]) ).
tcf(c_60388,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_145]) ).
tcf(c_60389,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_84]) ).
tcf(c_60390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_21606,c_70]) ).
tcf(c_60391,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(superposition,[status(thm)],[c_21606,c_76]) ).
tcf(c_60392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_68]) ).
tcf(c_60393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_68]) ).
tcf(c_60394,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_98]) ).
tcf(c_60395,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_21606,c_77]) ).
tcf(c_60396,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_60389,c_49,c_21527]) ).
tcf(c_60397,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_60388,c_49,c_21527]) ).
tcf(c_60398,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_60386,c_58,c_49,c_21527]) ).
tcf(c_60399,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60383,c_49,c_21527]) ).
tcf(c_60402,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60395,c_49,c_21527]) ).
tcf(c_60406,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60394,c_49,c_21527]) ).
tcf(c_60411,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60391,c_49,c_21527]) ).
tcf(c_60415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60393,c_49,c_21527]) ).
tcf(c_60420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60392,c_49,c_21527]) ).
tcf(c_60425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60390,c_49,c_21527]) ).
tcf(c_60430,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60382,c_49,c_21527]) ).
tcf(c_60435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60378,c_49,c_21527]) ).
tcf(c_60440,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60379,c_49,c_21527]) ).
tcf(c_60446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60381,c_49,c_21527]) ).
tcf(c_60454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60380,c_49,c_21527]) ).
tcf(c_60472,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_59915,c_8700]) ).
tcf(c_60475,plain,
( ( sdtpldt0(sdtpldt0(xp,xq),sK2(sdtpldt0(xp,xq),sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59915,c_73]) ).
tcf(c_60476,plain,
sdtpldt0(sdtpldt0(xp,xq),sK2(sdtpldt0(xp,xq),sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_60475,c_58661]) ).
tcf(c_60478,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2704]) ).
tcf(c_60479,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2703]) ).
tcf(c_60480,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2702]) ).
tcf(c_60481,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2701]) ).
tcf(c_60482,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2700]) ).
tcf(c_60483,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2699]) ).
tcf(c_60484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60396,c_79]) ).
tcf(c_60485,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60396,c_78]) ).
tcf(c_60486,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60396,c_95]) ).
tcf(c_60487,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60396,c_82]) ).
tcf(c_60488,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60396,c_152]) ).
tcf(c_60489,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60396,c_96]) ).
tcf(c_60490,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60396,c_83]) ).
tcf(c_60491,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_60396,c_94]) ).
tcf(c_60492,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_60396,c_93]) ).
tcf(c_60493,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_60396,c_81]) ).
tcf(c_60494,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_60396,c_80]) ).
tcf(c_60569,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(xq,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2705]) ).
tcf(c_60570,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),xq) = sdtpldt0(xq,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2705]) ).
tcf(c_60571,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xq) = sdtpldt0(xq,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2705]) ).
tcf(c_60572,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),xq) = sdtpldt0(xq,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2705]) ).
tcf(c_60573,plain,
sdtpldt0(sz00,xq) = sdtpldt0(xq,sz00),
inference(superposition,[status(thm)],[c_103,c_2705]) ).
tcf(c_60574,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xq) = sdtpldt0(xq,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2705]) ).
tcf(c_60575,plain,
sdtpldt0(sdtasdt0(xl,xq),xq) = sdtpldt0(xq,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2705]) ).
tcf(c_60576,plain,
sdtpldt0(sdtpldt0(xp,xq),xq) = sdtpldt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2705]) ).
tcf(c_60577,plain,
sdtpldt0(sdtpldt0(xl,xm),xq) = sdtpldt0(xq,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2705]) ).
tcf(c_60578,plain,
sdtpldt0(sdtpldt0(xl,xn),xq) = sdtpldt0(xq,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2705]) ).
tcf(c_60579,plain,
sdtpldt0(sdtpldt0(xl,sK0),xq) = sdtpldt0(xq,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2705]) ).
tcf(c_60580,plain,
sdtpldt0(sdtpldt0(xl,sK1),xq) = sdtpldt0(xq,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2705]) ).
tcf(c_60581,plain,
sdtpldt0(sdtpldt0(xl,xp),xq) = sdtpldt0(xq,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2705]) ).
tcf(c_60582,plain,
sdtpldt0(sdtpldt0(xl,xq),xq) = sdtpldt0(xq,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2705]) ).
tcf(c_60583,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2705]) ).
tcf(c_60584,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2705]) ).
tcf(c_60585,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2705]) ).
tcf(c_60586,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2705]) ).
tcf(c_60587,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2705]) ).
tcf(c_60588,plain,
sdtpldt0(sdtpldt0(xm,sK0),xq) = sdtpldt0(xq,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2705]) ).
tcf(c_60589,plain,
sdtpldt0(sdtpldt0(xm,sK1),xq) = sdtpldt0(xq,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2705]) ).
tcf(c_60590,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2705]) ).
tcf(c_60591,plain,
sdtpldt0(sdtpldt0(xm,xp),xq) = sdtpldt0(xq,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2705]) ).
tcf(c_60592,plain,
sdtpldt0(sdtpldt0(xm,xq),xq) = sdtpldt0(xq,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2705]) ).
tcf(c_60593,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2705]) ).
tcf(c_60594,plain,
sdtpldt0(sdtpldt0(xn,sK0),xq) = sdtpldt0(xq,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2705]) ).
tcf(c_60595,plain,
sdtpldt0(sdtpldt0(xn,sK1),xq) = sdtpldt0(xq,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2705]) ).
tcf(c_60596,plain,
sdtpldt0(sdtpldt0(xn,xp),xq) = sdtpldt0(xq,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2705]) ).
tcf(c_60597,plain,
sdtpldt0(sdtpldt0(xn,xq),xq) = sdtpldt0(xq,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2705]) ).
tcf(c_60598,plain,
sdtpldt0(sdtpldt0(sK0,sK1),xq) = sdtpldt0(xq,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2705]) ).
tcf(c_60599,plain,
sdtpldt0(sdtpldt0(xp,sK0),xq) = sdtpldt0(xq,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2705]) ).
tcf(c_60600,plain,
sdtpldt0(sdtpldt0(xq,sK0),xq) = sdtpldt0(xq,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2705]) ).
tcf(c_60601,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2705]) ).
tcf(c_60602,plain,
sdtpldt0(sdtpldt0(xp,sK1),xq) = sdtpldt0(xq,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2705]) ).
tcf(c_60603,plain,
sdtpldt0(sdtpldt0(xq,sK1),xq) = sdtpldt0(xq,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2705]) ).
tcf(c_60604,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2705]) ).
tcf(c_60704,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2709]) ).
tcf(c_60705,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),sz00) = sdtpldt0(sz00,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2709]) ).
tcf(c_60706,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2709]) ).
tcf(c_60707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),sz00) = sdtpldt0(sz00,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2709]) ).
tcf(c_60709,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_105,c_2709]) ).
tcf(c_60710,plain,
sdtpldt0(sdtasdt0(xl,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2709]) ).
tcf(c_60711,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2709]) ).
tcf(c_60712,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2709]) ).
tcf(c_60713,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2709]) ).
tcf(c_60714,plain,
sdtpldt0(sdtpldt0(xl,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2709]) ).
tcf(c_60715,plain,
sdtpldt0(sdtpldt0(xl,sK1),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2709]) ).
tcf(c_60716,plain,
sdtpldt0(sdtpldt0(xl,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2709]) ).
tcf(c_60717,plain,
sdtpldt0(sdtpldt0(xl,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2709]) ).
tcf(c_60718,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2709]) ).
tcf(c_60719,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2709]) ).
tcf(c_60720,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2709]) ).
tcf(c_60721,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2709]) ).
tcf(c_60722,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2709]) ).
tcf(c_60723,plain,
sdtpldt0(sdtpldt0(xm,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2709]) ).
tcf(c_60724,plain,
sdtpldt0(sdtpldt0(xm,sK1),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2709]) ).
tcf(c_60725,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2709]) ).
tcf(c_60726,plain,
sdtpldt0(sdtpldt0(xm,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2709]) ).
tcf(c_60727,plain,
sdtpldt0(sdtpldt0(xm,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2709]) ).
tcf(c_60728,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2709]) ).
tcf(c_60729,plain,
sdtpldt0(sdtpldt0(xn,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2709]) ).
tcf(c_60730,plain,
sdtpldt0(sdtpldt0(xn,sK1),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2709]) ).
tcf(c_60731,plain,
sdtpldt0(sdtpldt0(xn,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2709]) ).
tcf(c_60732,plain,
sdtpldt0(sdtpldt0(xn,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2709]) ).
tcf(c_60733,plain,
sdtpldt0(sdtpldt0(sK0,sK1),sz00) = sdtpldt0(sz00,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2709]) ).
tcf(c_60734,plain,
sdtpldt0(sdtpldt0(xp,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2709]) ).
tcf(c_60735,plain,
sdtpldt0(sdtpldt0(xq,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2709]) ).
tcf(c_60736,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2709]) ).
tcf(c_60737,plain,
sdtpldt0(sdtpldt0(xp,sK1),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2709]) ).
tcf(c_60738,plain,
sdtpldt0(sdtpldt0(xq,sK1),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2709]) ).
tcf(c_60739,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2709]) ).
tcf(c_60794,plain,
sdtasdt0(xl,xm) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_50,c_2775]) ).
tcf(c_60795,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_51,c_2775]) ).
tcf(c_60796,plain,
sdtasdt0(xl,sK0) = sdtasdt0(sK0,xl),
inference(superposition,[status(thm)],[c_52,c_2775]) ).
tcf(c_60797,plain,
sdtasdt0(xl,sK1) = sdtasdt0(sK1,xl),
inference(superposition,[status(thm)],[c_55,c_2775]) ).
tcf(c_60798,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_59,c_2775]) ).
tcf(c_60799,plain,
sdtasdt0(xl,xq) = sdtasdt0(xq,xl),
inference(superposition,[status(thm)],[c_62,c_2775]) ).
tcf(c_60800,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xl) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2775]) ).
tcf(c_60801,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),xl) = sdtasdt0(xl,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2775]) ).
tcf(c_60802,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xl) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2775]) ).
tcf(c_60803,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),xl) = sdtasdt0(xl,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2775]) ).
tcf(c_60804,plain,
sdtasdt0(xl,sz00) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_103,c_2775]) ).
tcf(c_60805,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xl) = sdtasdt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2775]) ).
tcf(c_60806,plain,
sdtasdt0(sdtasdt0(xl,xq),xl) = sdtasdt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2775]) ).
tcf(c_60807,plain,
sdtasdt0(sdtpldt0(xp,xq),xl) = sdtasdt0(xl,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2775]) ).
tcf(c_60808,plain,
sdtasdt0(sdtpldt0(xl,xm),xl) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2775]) ).
tcf(c_60809,plain,
sdtasdt0(sdtpldt0(xl,xn),xl) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2775]) ).
tcf(c_60810,plain,
sdtasdt0(sdtpldt0(xl,sK0),xl) = sdtasdt0(xl,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2775]) ).
tcf(c_60811,plain,
sdtasdt0(sdtpldt0(xl,sK1),xl) = sdtasdt0(xl,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2775]) ).
tcf(c_60812,plain,
sdtasdt0(sdtpldt0(xl,xp),xl) = sdtasdt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2775]) ).
tcf(c_60813,plain,
sdtasdt0(sdtpldt0(xl,xq),xl) = sdtasdt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2775]) ).
tcf(c_60814,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2775]) ).
tcf(c_60815,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2775]) ).
tcf(c_60816,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2775]) ).
tcf(c_60817,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2775]) ).
tcf(c_60818,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2775]) ).
tcf(c_60819,plain,
sdtasdt0(sdtpldt0(xm,sK0),xl) = sdtasdt0(xl,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2775]) ).
tcf(c_60820,plain,
sdtasdt0(sdtpldt0(xm,sK1),xl) = sdtasdt0(xl,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2775]) ).
tcf(c_60821,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2775]) ).
tcf(c_60822,plain,
sdtasdt0(sdtpldt0(xm,xp),xl) = sdtasdt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2775]) ).
tcf(c_60823,plain,
sdtasdt0(sdtpldt0(xm,xq),xl) = sdtasdt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2775]) ).
tcf(c_60824,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2775]) ).
tcf(c_60825,plain,
sdtasdt0(sdtpldt0(xn,sK0),xl) = sdtasdt0(xl,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2775]) ).
tcf(c_60826,plain,
sdtasdt0(sdtpldt0(xn,sK1),xl) = sdtasdt0(xl,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2775]) ).
tcf(c_60827,plain,
sdtasdt0(sdtpldt0(xn,xp),xl) = sdtasdt0(xl,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2775]) ).
tcf(c_60828,plain,
sdtasdt0(sdtpldt0(xn,xq),xl) = sdtasdt0(xl,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2775]) ).
tcf(c_60829,plain,
sdtasdt0(sdtpldt0(sK0,sK1),xl) = sdtasdt0(xl,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2775]) ).
tcf(c_60830,plain,
sdtasdt0(sdtpldt0(xp,sK0),xl) = sdtasdt0(xl,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2775]) ).
tcf(c_60831,plain,
sdtasdt0(sdtpldt0(xq,sK0),xl) = sdtasdt0(xl,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2775]) ).
tcf(c_60832,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2775]) ).
tcf(c_60833,plain,
sdtasdt0(sdtpldt0(xp,sK1),xl) = sdtasdt0(xl,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2775]) ).
tcf(c_60834,plain,
sdtasdt0(sdtpldt0(xq,sK1),xl) = sdtasdt0(xl,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2775]) ).
tcf(c_60835,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2775]) ).
tcf(c_60837,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_60798,c_60]) ).
tcf(c_60838,plain,
sdtasdt0(xl,xq) = sdtasdt0(sK1,xl),
inference(light_normalisation,[status(thm)],[c_60797,c_535]) ).
tcf(c_60839,plain,
sdtasdt0(sK0,xl) = xm,
inference(light_normalisation,[status(thm)],[c_60796,c_53]) ).
tcf(c_61101,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_60837,c_89]) ).
tcf(c_61108,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_60837,c_91]) ).
tcf(c_61111,plain,
( doDivides0(xp,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60837,c_142]) ).
tcf(c_61113,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60837,c_87]) ).
tcf(c_61114,plain,
( sdtlseqdt0(xp,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60837,c_85]) ).
tcf(c_61115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60837,c_87]) ).
tcf(c_61116,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(superposition,[status(thm)],[c_60837,c_92]) ).
tcf(c_61117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),xm)
| ( xl = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_60837,c_89]) ).
tcf(c_61118,plain,
doDivides0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_61111,c_59,c_49]) ).
tcf(c_61119,plain,
sdtlseqdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_61114,c_58,c_59,c_49]) ).
tcf(c_61120,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61116,c_58,c_59,c_49]) ).
tcf(c_61124,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61108,c_59,c_49]) ).
tcf(c_61129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61117,c_58,c_59,c_49]) ).
tcf(c_61134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61115,c_59,c_49]) ).
tcf(c_61140,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61113,c_59,c_49]) ).
tcf(c_61146,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xl))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61101,c_58,c_59,c_49]) ).
tcf(c_61155,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(xm,xp)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61118,c_106]) ).
tcf(c_61156,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_61118,c_99]) ).
tcf(c_61157,plain,
( ( sdtasdt0(xp,sK3(xp,xm)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61118,c_102]) ).
tcf(c_61158,plain,
sdtasdt0(xp,sK3(xp,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_61157,c_59,c_50]) ).
tcf(c_61159,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61156,c_59,c_50]) ).
tcf(c_61163,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(xm,xp)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61155,c_59,c_50]) ).
tcf(c_61210,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_61119,c_109]) ).
tcf(c_61214,plain,
( ( xm = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xp) ),
inference(superposition,[status(thm)],[c_61119,c_110]) ).
tcf(c_61215,plain,
( ( sdtpldt0(xp,sK2(xp,xm)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61119,c_73]) ).
tcf(c_61216,plain,
( sdtlseqdt0(xq,xm)
| ( xm = xp )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61119,c_3965]) ).
tcf(c_61217,plain,
( sdtlseqdt0(xq,xm)
| ( xm = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61216,c_50]) ).
tcf(c_61220,plain,
sdtpldt0(xp,sK2(xp,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_61215,c_59,c_50]) ).
tcf(c_61221,plain,
( ( xm = xp )
| ~ sdtlseqdt0(xm,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61214,c_59,c_50]) ).
tcf(c_61224,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61210,c_59,c_50]) ).
tcf(c_61230,plain,
~ sdtlseqdt0(sdtpldt0(xp,xq),sz00),
inference(global_subsumption_just,[status(thm)],[c_58716,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_58666,c_59884]) ).
tcf(c_61249,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_58458,c_6515]) ).
tcf(c_61250,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xn))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_6515]) ).
tcf(c_61251,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_6515]) ).
tcf(c_61252,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xl))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_6515]) ).
tcf(c_61253,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_6515]) ).
tcf(c_61254,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X1))
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_6515,c_109]) ).
tcf(c_61259,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6515,c_73]) ).
tcf(c_61260,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_61252,c_14300]) ).
tcf(c_61261,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61260,c_49]) ).
tcf(c_61266,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_61251,c_26865]) ).
tcf(c_61267,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61266,c_50]) ).
tcf(c_61272,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_61250,c_39902]) ).
tcf(c_61273,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61272,c_51]) ).
tcf(c_61278,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_61249,c_58458]) ).
tcf(c_61279,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61278,c_59]) ).
tcf(c_61284,plain,
( sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_61253,c_17331]) ).
tcf(c_61290,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61259,c_59]) ).
tcf(c_61297,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X1))
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61254,c_59]) ).
tcf(c_61315,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_46267,c_109]) ).
tcf(c_61316,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_46267,c_11962]) ).
tcf(c_61317,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_46267,c_8700]) ).
tcf(c_61318,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_46267,c_3979]) ).
tcf(c_61319,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_46267,c_110]) ).
tcf(c_61320,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_46267,c_73]) ).
tcf(c_61321,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_46267,c_5863]) ).
tcf(c_61324,plain,
( sdtlseqdt0(sdtpldt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61317,c_40684]) ).
tcf(c_61330,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61315,c_40684]) ).
tcf(c_61337,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61321,c_40684]) ).
tcf(c_61343,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61320,c_40684]) ).
tcf(c_61348,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61319,c_40684]) ).
tcf(c_61356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_70]) ).
tcf(c_61358,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_17825]) ).
tcf(c_61359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_17392]) ).
tcf(c_61360,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_14477]) ).
tcf(c_61366,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_145]) ).
tcf(c_61368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_70]) ).
tcf(c_61369,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_21616,c_76]) ).
tcf(c_61370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_21616,c_68]) ).
tcf(c_61371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_68]) ).
tcf(c_61373,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_21616,c_77]) ).
tcf(c_61374,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_51524]) ).
tcf(c_61375,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_49956]) ).
tcf(c_61376,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_47638]) ).
tcf(c_61377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_41879]) ).
tcf(c_61378,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_46832]) ).
tcf(c_61379,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_43963]) ).
tcf(c_61380,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_43470]) ).
tcf(c_61381,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_43085]) ).
tcf(c_61382,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_42039]) ).
tcf(c_61383,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_35146]) ).
tcf(c_61384,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_26041]) ).
tcf(c_61385,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_26044]) ).
tcf(c_61386,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_26052]) ).
tcf(c_61387,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_15930]) ).
tcf(c_61388,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_15792]) ).
tcf(c_61389,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_24215]) ).
tcf(c_61390,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_24215]) ).
tcf(c_61391,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_15931]) ).
tcf(c_61392,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_21616,c_24885]) ).
tcf(c_61393,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_15793]) ).
tcf(c_61394,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_21616,c_8652]) ).
tcf(c_61395,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21616,c_45030]) ).
tcf(c_61396,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_61366,c_103,c_21527]) ).
tcf(c_61397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61373,c_103,c_21527]) ).
tcf(c_61401,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61369,c_103,c_21527]) ).
tcf(c_61405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61368,c_103,c_21527]) ).
tcf(c_61410,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61360,c_103,c_21527]) ).
tcf(c_61416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61371,c_103,c_21527]) ).
tcf(c_61421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61370,c_103,c_21527]) ).
tcf(c_61426,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61394,c_21527]) ).
tcf(c_61431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61358,c_103,c_21527]) ).
tcf(c_61439,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61393,c_21527]) ).
tcf(c_61445,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61391,c_21527]) ).
tcf(c_61451,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_61390,c_21616]) ).
tcf(c_61452,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61451,c_21527]) ).
tcf(c_61460,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61388,c_21527]) ).
tcf(c_61467,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61387,c_21527]) ).
tcf(c_61474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61359,c_103,c_21527]) ).
tcf(c_61489,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_61386,c_21616]) ).
tcf(c_61490,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61489,c_21527]) ).
tcf(c_61497,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_61385,c_21616]) ).
tcf(c_61498,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61497,c_21527]) ).
tcf(c_61505,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_61384,c_21616]) ).
tcf(c_61506,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61505,c_21527]) ).
tcf(c_61514,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_61378,c_21616]) ).
tcf(c_61515,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61514,c_21527]) ).
tcf(c_61522,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61381,c_21527]) ).
tcf(c_61530,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61380,c_21527]) ).
tcf(c_61538,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_61376,c_21616]) ).
tcf(c_61539,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61538,c_21527]) ).
tcf(c_61546,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61379,c_21527]) ).
tcf(c_61553,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_61382,c_21616]) ).
tcf(c_61554,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61553,c_21527]) ).
tcf(c_61562,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_61395,c_21616]) ).
tcf(c_61563,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61562,c_21527]) ).
tcf(c_61572,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_61375,c_21616]) ).
tcf(c_61573,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61572,c_21527]) ).
tcf(c_61581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_61377,c_21616]) ).
tcf(c_61582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61581,c_21527]) ).
tcf(c_61592,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(light_normalisation,[status(thm)],[c_61374,c_21616]) ).
tcf(c_61593,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61592,c_21527]) ).
tcf(c_61702,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_60839,c_89]) ).
tcf(c_61709,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != xm ) ),
inference(superposition,[status(thm)],[c_60839,c_91]) ).
tcf(c_61710,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(sK0,xp)
| ( xl = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60839,c_5229]) ).
tcf(c_61712,plain,
( doDivides0(sK0,xm)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60839,c_142]) ).
tcf(c_61714,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60839,c_87]) ).
tcf(c_61715,plain,
( sdtlseqdt0(sK0,xm)
| ( xl = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60839,c_85]) ).
tcf(c_61716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),xm)
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60839,c_87]) ).
tcf(c_61717,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(superposition,[status(thm)],[c_60839,c_92]) ).
tcf(c_61718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),xm)
| ( xl = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_60839,c_89]) ).
tcf(c_61719,plain,
doDivides0(sK0,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_61712,c_52,c_49]) ).
tcf(c_61720,plain,
sdtlseqdt0(sK0,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_61715,c_58,c_52,c_49]) ).
tcf(c_61721,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(sK0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61710,c_58,c_52,c_49]) ).
tcf(c_61724,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61717,c_58,c_52,c_49]) ).
tcf(c_61728,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61709,c_52,c_49]) ).
tcf(c_61733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),xm)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61718,c_58,c_52,c_49]) ).
tcf(c_61738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),xm)
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61716,c_52,c_49]) ).
tcf(c_61744,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61714,c_52,c_49]) ).
tcf(c_61750,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xl))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61702,c_58,c_52,c_49]) ).
tcf(c_61833,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(xm,sK0)) = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61719,c_106]) ).
tcf(c_61834,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_61719,c_99]) ).
tcf(c_61835,plain,
( ( sdtasdt0(sK0,sK3(sK0,xm)) = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61719,c_102]) ).
tcf(c_61836,plain,
sdtasdt0(sK0,sK3(sK0,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_61835,c_52,c_50]) ).
tcf(c_61837,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61834,c_52,c_50]) ).
tcf(c_61841,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(xm,sK0)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61833,c_52,c_50]) ).
tcf(c_61844,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_61720,c_109]) ).
tcf(c_61848,plain,
( ( xm = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sK0) ),
inference(superposition,[status(thm)],[c_61720,c_110]) ).
tcf(c_61849,plain,
( ( sdtpldt0(sK0,sK2(sK0,xm)) = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61720,c_73]) ).
tcf(c_61850,plain,
sdtpldt0(sK0,sK2(sK0,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_61849,c_52,c_50]) ).
tcf(c_61851,plain,
( ( xm = sK0 )
| ~ sdtlseqdt0(xm,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61848,c_52,c_50]) ).
tcf(c_61854,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61844,c_52,c_50]) ).
tcf(c_61858,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_61396,c_109]) ).
tcf(c_61862,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_61396,c_110]) ).
tcf(c_61863,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_61396,c_73]) ).
tcf(c_61864,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61858,c_103,c_21527]) ).
tcf(c_61868,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_61863,c_103,c_21527]) ).
tcf(c_61869,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_61862,c_21532,c_103,c_21527]) ).
tcf(c_61874,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_61721,c_109]) ).
tcf(c_61878,plain,
( sdtlseqdt0(xq,xm)
| ( sK0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ sdtlseqdt0(xp,sK0) ),
inference(superposition,[status(thm)],[c_61721,c_110]) ).
tcf(c_61879,plain,
( sdtlseqdt0(xq,xm)
| ( sdtpldt0(sK0,sK2(sK0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_61721,c_73]) ).
tcf(c_61880,plain,
( sdtlseqdt0(xq,xm)
| ( sdtpldt0(sK0,sK2(sK0,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61879,c_59,c_52]) ).
tcf(c_61883,plain,
( sdtlseqdt0(xq,xm)
| ( sK0 = xp )
| ~ sdtlseqdt0(xp,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61878,c_59,c_52]) ).
tcf(c_61887,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61874,c_59,c_52]) ).
tcf(c_61896,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_61217,c_109]) ).
tcf(c_61900,plain,
( ( xm = xq )
| ( xm = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xq) ),
inference(superposition,[status(thm)],[c_61217,c_110]) ).
tcf(c_61901,plain,
( ( xm = xp )
| ( sdtpldt0(xq,sK2(xq,xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_61217,c_73]) ).
tcf(c_61902,plain,
( ( xm = xp )
| ( sdtpldt0(xq,sK2(xq,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61901,c_62,c_50]) ).
tcf(c_61905,plain,
( ( xm = xq )
| ( xm = xp )
| ~ sdtlseqdt0(xm,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61900,c_62,c_50]) ).
tcf(c_61909,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61896,c_62,c_50]) ).
tcf(c_61914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_60794,c_89]) ).
tcf(c_61916,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_60794,c_27527]) ).
tcf(c_61917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sK2(xq,xp))
| ( xl = sz00 )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_60794,c_18982]) ).
tcf(c_61918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_60794,c_18291]) ).
tcf(c_61919,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_60794,c_15630]) ).
tcf(c_61921,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_60794,c_91]) ).
tcf(c_61922,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60794,c_5229]) ).
tcf(c_61923,plain,
( ( xm = sz00 )
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_60794,c_90]) ).
tcf(c_61924,plain,
( doDivides0(xm,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60794,c_142]) ).
tcf(c_61925,plain,
( aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60794,c_97]) ).
tcf(c_61926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60794,c_87]) ).
tcf(c_61927,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xm))
| ( xl = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60794,c_85]) ).
tcf(c_61928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xl,xm))
| ( xm = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60794,c_87]) ).
tcf(c_61929,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_60794,c_92]) ).
tcf(c_61930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xm))
| ( xl = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_60794,c_89]) ).
tcf(c_61931,plain,
aNaturalNumber0(sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_61925,c_50,c_49]) ).
tcf(c_61932,plain,
doDivides0(xm,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_61924,c_50,c_49]) ).
tcf(c_61933,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_61927,c_58,c_50,c_49]) ).
tcf(c_61934,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61922,c_58,c_50,c_49]) ).
tcf(c_61937,plain,
sdtasdt0(xl,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_61923,c_11841,c_58,c_50,c_49]) ).
tcf(c_61938,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61929,c_58,c_50,c_49]) ).
tcf(c_61942,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61921,c_11841,c_50,c_49]) ).
tcf(c_61946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61930,c_58,c_50,c_49]) ).
tcf(c_61951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xl,xm))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61928,c_11841,c_50,c_49]) ).
tcf(c_61956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61926,c_11841,c_50,c_49]) ).
tcf(c_61961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(X0,xl))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61914,c_58,c_50,c_49]) ).
tcf(c_61966,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61919,c_58,c_50,c_49]) ).
tcf(c_61971,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61916,c_58,c_50,c_49]) ).
tcf(c_61977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61918,c_11841,c_50,c_49]) ).
tcf(c_61985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61917,c_58,c_50,c_49]) ).
tcf(c_62079,plain,
sdtasdt0(sdtasdt0(xl,xm),xl) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2775]) ).
tcf(c_62080,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2709]) ).
tcf(c_62081,plain,
sdtpldt0(sdtasdt0(xl,xm),xq) = sdtpldt0(xq,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2705]) ).
tcf(c_62082,plain,
sdtpldt0(sdtasdt0(xl,xm),xp) = sdtpldt0(xp,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2704]) ).
tcf(c_62083,plain,
sdtpldt0(sdtasdt0(xl,xm),sK1) = sdtpldt0(sK1,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2703]) ).
tcf(c_62084,plain,
sdtpldt0(sdtasdt0(xl,xm),sK0) = sdtpldt0(sK0,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2702]) ).
tcf(c_62085,plain,
sdtpldt0(sdtasdt0(xl,xm),xn) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2701]) ).
tcf(c_62086,plain,
sdtpldt0(sdtasdt0(xl,xm),xm) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2700]) ).
tcf(c_62087,plain,
sdtpldt0(sdtasdt0(xl,xm),xl) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2699]) ).
tcf(c_62088,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xl,xm)),sdtasdt0(X0,sdtasdt0(xl,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_61931,c_79]) ).
tcf(c_62089,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xm),X1),sdtasdt0(sdtasdt0(xl,xm),X0)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_61931,c_78]) ).
tcf(c_62090,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xm),X1),X0) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_61931,c_95]) ).
tcf(c_62091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xm),X1),X0) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_61931,c_82]) ).
tcf(c_62092,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_61931,c_152]) ).
tcf(c_62093,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xm),X0) = sdtasdt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_61931,c_96]) ).
tcf(c_62094,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xm),X0) = sdtpldt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_61931,c_83]) ).
tcf(c_62095,plain,
sdtasdt0(sz00,sdtasdt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_61931,c_94]) ).
tcf(c_62096,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_61931,c_93]) ).
tcf(c_62097,plain,
sdtpldt0(sz00,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_61931,c_81]) ).
tcf(c_62098,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_61931,c_80]) ).
tcf(c_62174,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_108,c_61966]) ).
tcf(c_62175,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62174,c_103,c_61931]) ).
tcf(c_62188,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_48107,c_109]) ).
tcf(c_62189,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_48107,c_11962]) ).
tcf(c_62190,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_48107,c_8700]) ).
tcf(c_62191,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_48107,c_3979]) ).
tcf(c_62192,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_48107,c_110]) ).
tcf(c_62193,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_48107,c_73]) ).
tcf(c_62194,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_48107,c_5863]) ).
tcf(c_62197,plain,
( sdtlseqdt0(sdtpldt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62190,c_41362]) ).
tcf(c_62203,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62188,c_41362]) ).
tcf(c_62210,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62194,c_41362]) ).
tcf(c_62216,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62193,c_41362]) ).
tcf(c_62221,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62192,c_41362]) ).
tcf(c_62237,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_49314,c_109]) ).
tcf(c_62238,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_49314,c_11962]) ).
tcf(c_62239,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_49314,c_8700]) ).
tcf(c_62240,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_49314,c_3979]) ).
tcf(c_62241,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_49314,c_110]) ).
tcf(c_62242,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(sdtpldt0(xn,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_49314,c_73]) ).
tcf(c_62243,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_49314,c_5863]) ).
tcf(c_62246,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62239,c_42683]) ).
tcf(c_62252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62237,c_42683]) ).
tcf(c_62259,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62243,c_42683]) ).
tcf(c_62265,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(sdtpldt0(xn,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62242,c_42683]) ).
tcf(c_62270,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62241,c_42683]) ).
tcf(c_62387,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53592,c_109]) ).
tcf(c_62388,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_53592,c_11962]) ).
tcf(c_62389,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_53592,c_8700]) ).
tcf(c_62390,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_53592,c_3979]) ).
tcf(c_62391,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53592,c_110]) ).
tcf(c_62392,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_53592,c_73]) ).
tcf(c_62393,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_53592,c_5863]) ).
tcf(c_62396,plain,
( sdtlseqdt0(sdtpldt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62389,c_49492]) ).
tcf(c_62402,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62387,c_49492]) ).
tcf(c_62409,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62393,c_49492]) ).
tcf(c_62415,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62392,c_49492]) ).
tcf(c_62420,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62391,c_49492]) ).
tcf(c_62428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21617,c_70]) ).
tcf(c_62433,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21617,c_5155]) ).
tcf(c_62438,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21617,c_145]) ).
tcf(c_62440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_21617,c_70]) ).
tcf(c_62441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_21617,c_76]) ).
tcf(c_62442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21617,c_68]) ).
tcf(c_62443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21617,c_68]) ).
tcf(c_62445,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_21617,c_77]) ).
tcf(c_62446,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_62438,c_103,c_21527]) ).
tcf(c_62447,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62433,c_103,c_21527]) ).
tcf(c_62450,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62445,c_103,c_21527]) ).
tcf(c_62454,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62441,c_103,c_21527]) ).
tcf(c_62459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62442,c_103,c_21527]) ).
tcf(c_62464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62440,c_103,c_21527]) ).
tcf(c_62469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62428,c_103,c_21527]) ).
tcf(c_62474,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xl,xm),xm)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61932,c_106]) ).
tcf(c_62475,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_61932,c_99]) ).
tcf(c_62476,plain,
( ( sdtasdt0(xm,sK3(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61932,c_102]) ).
tcf(c_62477,plain,
( doDivides0(xl,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61932,c_3588]) ).
tcf(c_62478,plain,
doDivides0(xl,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_62477,c_61931]) ).
tcf(c_62479,plain,
sdtasdt0(xm,sK3(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_62476,c_50,c_61931]) ).
tcf(c_62480,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62475,c_50,c_61931]) ).
tcf(c_62484,plain,
sdtasdt0(xm,sdtsldt0(sdtasdt0(xl,xm),xm)) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_62474,c_11841,c_50,c_61931]) ).
tcf(c_62528,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61933,c_109]) ).
tcf(c_62529,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61933,c_11962]) ).
tcf(c_62530,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_61933,c_8700]) ).
tcf(c_62532,plain,
( ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xm) ),
inference(superposition,[status(thm)],[c_61933,c_110]) ).
tcf(c_62533,plain,
( ( sdtpldt0(xm,sK2(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61933,c_73]) ).
tcf(c_62534,plain,
sdtpldt0(xm,sK2(xm,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_62533,c_50,c_61931]) ).
tcf(c_62535,plain,
( ( sdtasdt0(xl,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62532,c_50,c_61931]) ).
tcf(c_62538,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62528,c_50,c_61931]) ).
tcf(c_62545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_60795,c_89]) ).
tcf(c_62547,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_60795,c_27527]) ).
tcf(c_62548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sK2(xq,xp))
| ( xl = sz00 )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_60795,c_18982]) ).
tcf(c_62549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_60795,c_18291]) ).
tcf(c_62550,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_60795,c_15630]) ).
tcf(c_62552,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_60795,c_91]) ).
tcf(c_62553,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60795,c_5229]) ).
tcf(c_62554,plain,
( ( xn = sz00 )
| ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_60795,c_90]) ).
tcf(c_62555,plain,
( doDivides0(xn,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60795,c_142]) ).
tcf(c_62556,plain,
( aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60795,c_97]) ).
tcf(c_62557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60795,c_87]) ).
tcf(c_62558,plain,
( sdtlseqdt0(xn,sdtasdt0(xl,xn))
| ( xl = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60795,c_85]) ).
tcf(c_62559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xl,xn))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60795,c_87]) ).
tcf(c_62560,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_60795,c_92]) ).
tcf(c_62561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xn))
| ( xl = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_60795,c_89]) ).
tcf(c_62562,plain,
aNaturalNumber0(sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_62556,c_51,c_49]) ).
tcf(c_62563,plain,
doDivides0(xn,sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_62555,c_51,c_49]) ).
tcf(c_62564,plain,
sdtlseqdt0(xn,sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_62558,c_58,c_51,c_49]) ).
tcf(c_62565,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62553,c_58,c_51,c_49]) ).
tcf(c_62568,plain,
( ( xn = sz00 )
| ( sdtasdt0(xl,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62554,c_58,c_51,c_49]) ).
tcf(c_62571,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62560,c_58,c_51,c_49]) ).
tcf(c_62575,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62552,c_51,c_49]) ).
tcf(c_62580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62561,c_58,c_51,c_49]) ).
tcf(c_62585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xl,xn))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62559,c_51,c_49]) ).
tcf(c_62591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62557,c_51,c_49]) ).
tcf(c_62597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(X0,xl))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62545,c_58,c_51,c_49]) ).
tcf(c_62602,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62550,c_58,c_51,c_49]) ).
tcf(c_62607,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62547,c_58,c_51,c_49]) ).
tcf(c_62613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62549,c_51,c_49]) ).
tcf(c_62622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62548,c_58,c_51,c_49]) ).
tcf(c_62790,plain,
sdtasdt0(sdtasdt0(xl,xn),xl) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2775]) ).
tcf(c_62791,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2709]) ).
tcf(c_62792,plain,
sdtpldt0(sdtasdt0(xl,xn),xq) = sdtpldt0(xq,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2705]) ).
tcf(c_62793,plain,
sdtpldt0(sdtasdt0(xl,xn),xp) = sdtpldt0(xp,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2704]) ).
tcf(c_62794,plain,
sdtpldt0(sdtasdt0(xl,xn),sK1) = sdtpldt0(sK1,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2703]) ).
tcf(c_62795,plain,
sdtpldt0(sdtasdt0(xl,xn),sK0) = sdtpldt0(sK0,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2702]) ).
tcf(c_62796,plain,
sdtpldt0(sdtasdt0(xl,xn),xn) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2701]) ).
tcf(c_62797,plain,
sdtpldt0(sdtasdt0(xl,xn),xm) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2700]) ).
tcf(c_62798,plain,
sdtpldt0(sdtasdt0(xl,xn),xl) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2699]) ).
tcf(c_62799,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xl,xn)),sdtasdt0(X0,sdtasdt0(xl,xn))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62562,c_79]) ).
tcf(c_62800,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xn),X1),sdtasdt0(sdtasdt0(xl,xn),X0)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62562,c_78]) ).
tcf(c_62801,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xn),X1),X0) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62562,c_95]) ).
tcf(c_62802,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xn),X1),X0) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62562,c_82]) ).
tcf(c_62803,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62562,c_152]) ).
tcf(c_62804,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xn),X0) = sdtasdt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62562,c_96]) ).
tcf(c_62805,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xn),X0) = sdtpldt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62562,c_83]) ).
tcf(c_62806,plain,
sdtasdt0(sz00,sdtasdt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_62562,c_94]) ).
tcf(c_62807,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_62562,c_93]) ).
tcf(c_62808,plain,
sdtpldt0(sz00,sdtasdt0(xl,xn)) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_62562,c_81]) ).
tcf(c_62809,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_62562,c_80]) ).
tcf(c_62835,plain,
( ( xl = sz00 )
| ( sdtasdt0(xl,sdtsldt0(sdtasdt0(xl,xm),xl)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62478,c_106]) ).
tcf(c_62836,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_62478,c_99]) ).
tcf(c_62837,plain,
( ( sdtasdt0(xl,sK3(xl,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62478,c_102]) ).
tcf(c_62838,plain,
sdtasdt0(xl,sK3(xl,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_62837,c_49,c_61931]) ).
tcf(c_62839,plain,
! [X0: $i] :
( doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62836,c_49,c_61931]) ).
tcf(c_62843,plain,
sdtasdt0(xl,sdtsldt0(sdtasdt0(xl,xm),xl)) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_62835,c_58,c_49,c_61931]) ).
tcf(c_62872,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xl,xn),xn)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62563,c_106]) ).
tcf(c_62873,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ doDivides0(sdtasdt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_62563,c_99]) ).
tcf(c_62874,plain,
( ( sdtasdt0(xn,sK3(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62563,c_102]) ).
tcf(c_62875,plain,
sdtasdt0(xn,sK3(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_62874,c_51,c_62562]) ).
tcf(c_62876,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62873,c_51,c_62562]) ).
tcf(c_62880,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xl,xn),xn)) = sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62872,c_51,c_62562]) ).
tcf(c_62906,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62564,c_109]) ).
tcf(c_62907,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62564,c_11962]) ).
tcf(c_62908,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_62564,c_8700]) ).
tcf(c_62910,plain,
( ( sdtasdt0(xl,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),xn) ),
inference(superposition,[status(thm)],[c_62564,c_110]) ).
tcf(c_62911,plain,
( ( sdtpldt0(xn,sK2(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62564,c_73]) ).
tcf(c_62912,plain,
sdtpldt0(xn,sK2(xn,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_62911,c_51,c_62562]) ).
tcf(c_62913,plain,
( ( sdtasdt0(xl,xn) = xn )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62910,c_51,c_62562]) ).
tcf(c_62916,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62906,c_51,c_62562]) ).
tcf(c_62920,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62907,c_51,c_62562]) ).
tcf(c_62977,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_108,c_62602]) ).
tcf(c_62987,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55424,c_109]) ).
tcf(c_62988,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_55424,c_11962]) ).
tcf(c_62989,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_55424,c_8700]) ).
tcf(c_62990,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_55424,c_3979]) ).
tcf(c_62991,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55424,c_110]) ).
tcf(c_62992,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_55424,c_73]) ).
tcf(c_62993,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_55424,c_5863]) ).
tcf(c_62996,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62989,c_51000]) ).
tcf(c_63002,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62987,c_51000]) ).
tcf(c_63009,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62993,c_51000]) ).
tcf(c_63015,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62992,c_51000]) ).
tcf(c_63020,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62991,c_51000]) ).
tcf(c_63036,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58367,c_109]) ).
tcf(c_63037,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_58367,c_11962]) ).
tcf(c_63038,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_58367,c_8700]) ).
tcf(c_63039,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_58367,c_3979]) ).
tcf(c_63040,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58367,c_110]) ).
tcf(c_63041,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_58367,c_73]) ).
tcf(c_63042,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_58367,c_5863]) ).
tcf(c_63045,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63038,c_56252]) ).
tcf(c_63051,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63036,c_56252]) ).
tcf(c_63058,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63042,c_56252]) ).
tcf(c_63064,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63041,c_56252]) ).
tcf(c_63069,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63040,c_56252]) ).
tcf(c_63077,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21703,c_70]) ).
tcf(c_63089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21703,c_70]) ).
tcf(c_63090,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_21703,c_76]) ).
tcf(c_63091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_21703,c_68]) ).
tcf(c_63092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21703,c_68]) ).
tcf(c_63093,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_21703,c_98]) ).
tcf(c_63094,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_21703,c_77]) ).
tcf(c_63095,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63094,c_14661]) ).
tcf(c_63100,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63093,c_14661]) ).
tcf(c_63106,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63090,c_14661]) ).
tcf(c_63111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63089,c_14661]) ).
tcf(c_63117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63077,c_14661]) ).
tcf(c_63123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63092,c_14661]) ).
tcf(c_63129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63091,c_14661]) ).
tcf(c_63164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_60799,c_89]) ).
tcf(c_63171,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_60799,c_91]) ).
tcf(c_63174,plain,
( doDivides0(xq,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60799,c_142]) ).
tcf(c_63176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60799,c_87]) ).
tcf(c_63177,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xq))
| ( xl = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60799,c_85]) ).
tcf(c_63178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xl,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60799,c_87]) ).
tcf(c_63179,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_60799,c_92]) ).
tcf(c_63180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xq))
| ( xl = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_60799,c_89]) ).
tcf(c_63181,plain,
doDivides0(xq,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_63174,c_62,c_49]) ).
tcf(c_63182,plain,
sdtlseqdt0(xq,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_63177,c_58,c_62,c_49]) ).
tcf(c_63183,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63179,c_58,c_62,c_49]) ).
tcf(c_63187,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63171,c_62,c_49]) ).
tcf(c_63192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63180,c_58,c_62,c_49]) ).
tcf(c_63197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xl,xq))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63178,c_62,c_49]) ).
tcf(c_63203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63176,c_62,c_49]) ).
tcf(c_63209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xl))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63164,c_58,c_62,c_49]) ).
tcf(c_63263,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xl,xq),xq)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63181,c_106]) ).
tcf(c_63264,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_63181,c_99]) ).
tcf(c_63265,plain,
( ( sdtasdt0(xq,sK3(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63181,c_102]) ).
tcf(c_63266,plain,
sdtasdt0(xq,sK3(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_63265,c_62,c_2518]) ).
tcf(c_63267,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63264,c_62,c_2518]) ).
tcf(c_63271,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xl,xq),xq)) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63263,c_62,c_2518]) ).
tcf(c_63274,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63182,c_109]) ).
tcf(c_63278,plain,
( ( sdtasdt0(xl,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_63182,c_110]) ).
tcf(c_63279,plain,
( ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63182,c_73]) ).
tcf(c_63280,plain,
sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_63279,c_62,c_2518]) ).
tcf(c_63281,plain,
( ( sdtasdt0(xl,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63278,c_62,c_2518]) ).
tcf(c_63284,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63274,c_62,c_2518]) ).
tcf(c_63288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xl))
| ( xl = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_60838,c_89]) ).
tcf(c_63295,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_60838,c_91]) ).
tcf(c_63298,plain,
( doDivides0(sK1,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60838,c_142]) ).
tcf(c_63300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_60838,c_87]) ).
tcf(c_63301,plain,
( sdtlseqdt0(sK1,sdtasdt0(xl,xq))
| ( xl = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_60838,c_85]) ).
tcf(c_63302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_60838,c_87]) ).
tcf(c_63303,plain,
! [X0: $i] :
( ( xl = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_60838,c_92]) ).
tcf(c_63304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xq))
| ( xl = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_60838,c_89]) ).
tcf(c_63305,plain,
doDivides0(sK1,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_63298,c_55,c_49]) ).
tcf(c_63306,plain,
sdtlseqdt0(sK1,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_63301,c_58,c_55,c_49]) ).
tcf(c_63307,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63303,c_58,c_55,c_49]) ).
tcf(c_63311,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63295,c_55,c_49]) ).
tcf(c_63316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(xl,xq))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63304,c_58,c_55,c_49]) ).
tcf(c_63321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xl,xq))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63302,c_55,c_49]) ).
tcf(c_63327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63300,c_55,c_49]) ).
tcf(c_63333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtasdt0(X0,xl))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63288,c_58,c_55,c_49]) ).
tcf(c_63348,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xl,xq),sK1)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63305,c_106]) ).
tcf(c_63349,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_63305,c_99]) ).
tcf(c_63350,plain,
( ( sdtasdt0(sK1,sK3(sK1,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63305,c_102]) ).
tcf(c_63351,plain,
sdtasdt0(sK1,sK3(sK1,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_63350,c_55,c_2518]) ).
tcf(c_63352,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63349,c_55,c_2518]) ).
tcf(c_63356,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xl,xq),sK1)) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63348,c_55,c_2518]) ).
tcf(c_63399,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63306,c_109]) ).
tcf(c_63403,plain,
( ( sdtasdt0(xl,xq) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sK1) ),
inference(superposition,[status(thm)],[c_63306,c_110]) ).
tcf(c_63404,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_63306,c_73]) ).
tcf(c_63405,plain,
sdtpldt0(sK1,sK2(sK1,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_63404,c_55,c_2518]) ).
tcf(c_63406,plain,
( ( sdtasdt0(xl,xq) = sK1 )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63403,c_55,c_2518]) ).
tcf(c_63409,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63399,c_55,c_2518]) ).
tcf(c_63413,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK3(xp,xm)))
| ( X0 = xp )
| ( sK3(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK3(xp,xm)) ),
inference(superposition,[status(thm)],[c_61158,c_89]) ).
tcf(c_63420,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK3(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ( sdtasdt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_61158,c_91]) ).
tcf(c_63425,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK3(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ~ sdtlseqdt0(sK3(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_61158,c_87]) ).
tcf(c_63427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( sK3(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ~ sdtlseqdt0(X0,sK3(xp,xm)) ),
inference(superposition,[status(thm)],[c_61158,c_87]) ).
tcf(c_63428,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK3(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ( sdtasdt0(X0,sK3(xp,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_61158,c_92]) ).
tcf(c_63429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xp,xm)),xm)
| ( X0 = xp )
| ( sK3(xp,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,xm)) ),
inference(superposition,[status(thm)],[c_61158,c_89]) ).
tcf(c_63430,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK3(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ( sdtasdt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63420,c_59]) ).
tcf(c_63436,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK3(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ( sdtasdt0(X0,sK3(xp,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63428,c_59]) ).
tcf(c_63442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(xp,xm)),xm)
| ( X0 = xp )
| ( sK3(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK3(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63429,c_59]) ).
tcf(c_63449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xm)
| ( sz00 = xp )
| ( sK3(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ~ sdtlseqdt0(X0,sK3(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63427,c_59]) ).
tcf(c_63456,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK3(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(xp,xm))
| ~ sdtlseqdt0(sK3(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63425,c_59]) ).
tcf(c_63463,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK3(xp,xm)))
| ( X0 = xp )
| ( sK3(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK3(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63413,c_59]) ).
tcf(c_63475,plain,
( ~ aNaturalNumber0(sK2(xp,xm))
| ( xm != xq ) ),
inference(superposition,[status(thm)],[c_61220,c_65]) ).
tcf(c_63476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,xm)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,xm)) ),
inference(superposition,[status(thm)],[c_61220,c_70]) ).
tcf(c_63488,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xp,xm)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,xm)) ),
inference(superposition,[status(thm)],[c_61220,c_70]) ).
tcf(c_63489,plain,
! [X0: $i] :
( ( sK2(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_61220,c_76]) ).
tcf(c_63490,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sK2(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ~ sdtlseqdt0(sK2(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_61220,c_68]) ).
tcf(c_63491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sK2(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ~ sdtlseqdt0(X0,sK2(xp,xm)) ),
inference(superposition,[status(thm)],[c_61220,c_68]) ).
tcf(c_63492,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,xm))
| ~ doDivides0(X0,sK2(xp,xm)) ),
inference(superposition,[status(thm)],[c_61220,c_98]) ).
tcf(c_63493,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ( sdtpldt0(X0,sK2(xp,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_61220,c_77]) ).
tcf(c_63496,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ( sdtpldt0(X0,sK2(xp,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63493,c_59]) ).
tcf(c_63501,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,xm))
| ~ doDivides0(X0,sK2(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63492,c_59]) ).
tcf(c_63507,plain,
! [X0: $i] :
( ( sK2(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63489,c_59]) ).
tcf(c_63512,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xp,xm)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63488,c_59]) ).
tcf(c_63518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,xm)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63476,c_59]) ).
tcf(c_63524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sK2(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ~ sdtlseqdt0(X0,sK2(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63491,c_59]) ).
tcf(c_63530,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sK2(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,xm))
| ~ sdtlseqdt0(sK2(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63490,c_59]) ).
tcf(c_63589,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_108,c_22335]) ).
tcf(c_63601,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_108,c_23267]) ).
tcf(c_63613,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_108,c_25300]) ).
tcf(c_63615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21777,c_70]) ).
tcf(c_63627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21777,c_70]) ).
tcf(c_63628,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_21777,c_76]) ).
tcf(c_63629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_21777,c_68]) ).
tcf(c_63630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21777,c_68]) ).
tcf(c_63632,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_21777,c_77]) ).
tcf(c_63633,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63632,c_14856]) ).
tcf(c_63638,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63628,c_14856]) ).
tcf(c_63643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63627,c_14856]) ).
tcf(c_63649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))),sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63615,c_14856]) ).
tcf(c_63655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63630,c_14856]) ).
tcf(c_63661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63629,c_14856]) ).
tcf(c_63720,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ( xm = xp )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_61221]) ).
tcf(c_63723,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ( xm = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63720,c_50]) ).
tcf(c_63728,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK3(sK0,xm)))
| ( X0 = sK0 )
| ( sK3(sK0,xm) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK3(sK0,xm)) ),
inference(superposition,[status(thm)],[c_61836,c_89]) ).
tcf(c_63735,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( sK3(sK0,xm) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ( sdtasdt0(sK0,X0) != xm ) ),
inference(superposition,[status(thm)],[c_61836,c_91]) ).
tcf(c_63740,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( sK3(sK0,xm) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ~ sdtlseqdt0(sK3(sK0,xm),X0) ),
inference(superposition,[status(thm)],[c_61836,c_87]) ).
tcf(c_63742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),xm)
| ( sK0 = sz00 )
| ( sK3(sK0,xm) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ~ sdtlseqdt0(X0,sK3(sK0,xm)) ),
inference(superposition,[status(thm)],[c_61836,c_87]) ).
tcf(c_63743,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( sK3(sK0,xm) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ( sdtasdt0(X0,sK3(sK0,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_61836,c_92]) ).
tcf(c_63744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK0,xm)),xm)
| ( X0 = sK0 )
| ( sK3(sK0,xm) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,xm)) ),
inference(superposition,[status(thm)],[c_61836,c_89]) ).
tcf(c_63745,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( sK3(sK0,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ( sdtasdt0(sK0,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63735,c_52]) ).
tcf(c_63751,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( sK3(sK0,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ( sdtasdt0(X0,sK3(sK0,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63743,c_52]) ).
tcf(c_63757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK0,xm)),xm)
| ( X0 = sK0 )
| ( sK3(sK0,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63744,c_52]) ).
tcf(c_63764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),xm)
| ( sK0 = sz00 )
| ( sK3(sK0,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ~ sdtlseqdt0(X0,sK3(sK0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63742,c_52]) ).
tcf(c_63771,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( sK3(sK0,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK0,xm))
| ~ sdtlseqdt0(sK3(sK0,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63740,c_52]) ).
tcf(c_63778,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK3(sK0,xm)))
| ( X0 = sK0 )
| ( sK3(sK0,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK3(sK0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63728,c_52]) ).
tcf(c_63824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,xm)),xm)
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,xm)) ),
inference(superposition,[status(thm)],[c_61850,c_70]) ).
tcf(c_63836,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(sK0,xm)))
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK2(sK0,xm)) ),
inference(superposition,[status(thm)],[c_61850,c_70]) ).
tcf(c_63837,plain,
! [X0: $i] :
( ( sK2(sK0,xm) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ( sdtpldt0(sK0,X0) != xm ) ),
inference(superposition,[status(thm)],[c_61850,c_76]) ).
tcf(c_63838,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sK0,X0))
| ( sK2(sK0,xm) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ~ sdtlseqdt0(sK2(sK0,xm),X0) ),
inference(superposition,[status(thm)],[c_61850,c_68]) ).
tcf(c_63839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),xm)
| ( sK2(sK0,xm) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ~ sdtlseqdt0(X0,sK2(sK0,xm)) ),
inference(superposition,[status(thm)],[c_61850,c_68]) ).
tcf(c_63840,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ~ doDivides0(X0,sK2(sK0,xm)) ),
inference(superposition,[status(thm)],[c_61850,c_98]) ).
tcf(c_63841,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ( sdtpldt0(X0,sK2(sK0,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_61850,c_77]) ).
tcf(c_63842,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ( sdtpldt0(X0,sK2(sK0,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63841,c_52]) ).
tcf(c_63847,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ~ doDivides0(X0,sK2(sK0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63840,c_52]) ).
tcf(c_63853,plain,
! [X0: $i] :
( ( sK2(sK0,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ( sdtpldt0(sK0,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63837,c_52]) ).
tcf(c_63858,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(sK0,xm)))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0)
| ~ aNaturalNumber0(sK2(sK0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63836,c_52]) ).
tcf(c_63864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK0,xm)),xm)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(sK0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63824,c_52]) ).
tcf(c_63870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK0,X0),xm)
| ( sK2(sK0,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ~ sdtlseqdt0(X0,sK2(sK0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63839,c_52]) ).
tcf(c_63876,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sK0,X0))
| ( sK2(sK0,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK0,xm))
| ~ sdtlseqdt0(sK2(sK0,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63838,c_52]) ).
tcf(c_63966,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61934,c_109]) ).
tcf(c_63967,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61934,c_11962]) ).
tcf(c_63968,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_61934,c_8700]) ).
tcf(c_63970,plain,
( sdtlseqdt0(xm,xp)
| ( sdtasdt0(xl,xm) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xq) ),
inference(superposition,[status(thm)],[c_61934,c_110]) ).
tcf(c_63971,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61934,c_73]) ).
tcf(c_63972,plain,
( sdtlseqdt0(xm,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63971,c_62,c_61931]) ).
tcf(c_63975,plain,
( sdtlseqdt0(xm,xp)
| ( sdtasdt0(xl,xm) = xq )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63970,c_62,c_61931]) ).
tcf(c_63979,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63966,c_62,c_61931]) ).
tcf(c_63984,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63967,c_62,c_61931]) ).
tcf(c_63992,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62095,c_89]) ).
tcf(c_63995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62095,c_18982]) ).
tcf(c_63997,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62095,c_15630]) ).
tcf(c_64007,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(X0,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_62095,c_92]) ).
tcf(c_64008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62095,c_89]) ).
tcf(c_64009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64007,c_61937,c_103,c_61931]) ).
tcf(c_64014,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63992,c_61937,c_103,c_61931]) ).
tcf(c_64020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63995,c_61937,c_103,c_2614,c_61931]) ).
tcf(c_64031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62096,c_18291]) ).
tcf(c_64034,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_62096,c_91]) ).
tcf(c_64037,plain,
( doDivides0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62096,c_142]) ).
tcf(c_64039,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62096,c_87]) ).
tcf(c_64041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62096,c_87]) ).
tcf(c_64044,plain,
doDivides0(sdtasdt0(xl,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_64037,c_103,c_61931]) ).
tcf(c_64045,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64034,c_61937,c_103,c_61931]) ).
tcf(c_64050,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64039,c_61937,c_103,c_61931]) ).
tcf(c_64055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64031,c_61937,c_103,c_2614,c_61931]) ).
tcf(c_64072,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_108,c_27950]) ).
tcf(c_64084,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108,c_30244]) ).
tcf(c_64101,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_6345]) ).
tcf(c_64102,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_6345]) ).
tcf(c_64103,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_6345]) ).
tcf(c_64104,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xq,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_6345]) ).
tcf(c_64105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6345,c_109]) ).
tcf(c_64109,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6345,c_110]) ).
tcf(c_64110,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6345,c_73]) ).
tcf(c_64113,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xp,sdtpldt0(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6345,c_5910]) ).
tcf(c_64114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_6345,c_109]) ).
tcf(c_64118,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6345,c_110]) ).
tcf(c_64119,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6345,c_73]) ).
tcf(c_64120,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64103,c_49]) ).
tcf(c_64126,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64102,c_50]) ).
tcf(c_64132,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64101,c_51]) ).
tcf(c_64138,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xp,sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_64113,c_58458]) ).
tcf(c_64139,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xp,sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64138,c_59]) ).
tcf(c_64147,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64110,c_59]) ).
tcf(c_64154,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64109,c_59]) ).
tcf(c_64162,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64105,c_59]) ).
tcf(c_64177,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64119,c_59]) ).
tcf(c_64185,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64118,c_59]) ).
tcf(c_64194,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64114,c_59]) ).
tcf(c_64257,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xn,xq))
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_6430]) ).
tcf(c_64258,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_6430]) ).
tcf(c_64259,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_6430]) ).
tcf(c_64260,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xl,xq))
| sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_6430]) ).
tcf(c_64261,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X1))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6430,c_109]) ).
tcf(c_64262,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6430,c_11962]) ).
tcf(c_64263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_6430,c_8700]) ).
tcf(c_64265,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(superposition,[status(thm)],[c_6430,c_110]) ).
tcf(c_64266,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6430,c_73]) ).
tcf(c_64267,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6430,c_5863]) ).
tcf(c_64268,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6430,c_109]) ).
tcf(c_64269,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6430,c_11962]) ).
tcf(c_64270,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(superposition,[status(thm)],[c_6430,c_8700]) ).
tcf(c_64272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xp) ),
inference(superposition,[status(thm)],[c_6430,c_110]) ).
tcf(c_64273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6430,c_73]) ).
tcf(c_64274,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6430,c_3965]) ).
tcf(c_64277,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64259,c_49]) ).
tcf(c_64283,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64258,c_50]) ).
tcf(c_64289,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xn,xq))
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64257,c_51]) ).
tcf(c_64295,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64267,c_62]) ).
tcf(c_64303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64266,c_62]) ).
tcf(c_64310,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64265,c_62]) ).
tcf(c_64318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X1))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64261,c_62]) ).
tcf(c_64341,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64262,c_62]) ).
tcf(c_64350,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64273,c_59]) ).
tcf(c_64358,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64272,c_59]) ).
tcf(c_64367,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(X1,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64268,c_59]) ).
tcf(c_64377,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64263,c_62]) ).
tcf(c_64386,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64269,c_59]) ).
tcf(c_64396,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64270,c_59]) ).
tcf(c_64488,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_64396,c_62,c_11614,c_64396]) ).
tcf(c_64508,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_108,c_64488]) ).
tcf(c_64512,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_39902,c_64488]) ).
tcf(c_64516,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64512,c_51]) ).
tcf(c_64535,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15709,c_109]) ).
tcf(c_64536,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15709,c_11962]) ).
tcf(c_64537,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_15709,c_8700]) ).
tcf(c_64538,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15709,c_3979]) ).
tcf(c_64539,plain,
( ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK1) ),
inference(superposition,[status(thm)],[c_15709,c_110]) ).
tcf(c_64540,plain,
( ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15709,c_73]) ).
tcf(c_64541,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15709,c_5863]) ).
tcf(c_64544,plain,
( sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64541,c_55]) ).
tcf(c_64552,plain,
( ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64540,c_55]) ).
tcf(c_64558,plain,
( ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64539,c_55]) ).
tcf(c_64565,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(sK1,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK3(sK1,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64535,c_55]) ).
tcf(c_64634,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15715,c_109]) ).
tcf(c_64635,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15715,c_11962]) ).
tcf(c_64636,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_15715,c_8700]) ).
tcf(c_64637,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15715,c_3979]) ).
tcf(c_64638,plain,
( ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK0) ),
inference(superposition,[status(thm)],[c_15715,c_110]) ).
tcf(c_64639,plain,
( ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK2(sK0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15715,c_73]) ).
tcf(c_64640,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15715,c_5863]) ).
tcf(c_64643,plain,
( sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64640,c_52]) ).
tcf(c_64651,plain,
( ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK2(sK0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64639,c_52]) ).
tcf(c_64657,plain,
( ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64638,c_52]) ).
tcf(c_64664,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(sK0,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK3(sK0,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64634,c_52]) ).
tcf(c_64672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK0))),sdtpldt0(xl,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_70]) ).
tcf(c_64684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_70]) ).
tcf(c_64685,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_22116,c_76]) ).
tcf(c_64686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),X0) ),
inference(superposition,[status(thm)],[c_22116,c_68]) ).
tcf(c_64687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK0))
| ( sK2(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_68]) ).
tcf(c_64688,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_98]) ).
tcf(c_64689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK0))) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_22116,c_77]) ).
tcf(c_64690,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_22116,c_51524]) ).
tcf(c_64691,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_22116,c_49956]) ).
tcf(c_64692,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_22116,c_47638]) ).
tcf(c_64694,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_22116,c_46832]) ).
tcf(c_64695,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_22116,c_43963]) ).
tcf(c_64696,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_22116,c_43470]) ).
tcf(c_64697,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_22116,c_43085]) ).
tcf(c_64698,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_22116,c_42039]) ).
tcf(c_64699,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_22116,c_35146]) ).
tcf(c_64702,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0))),sz00) ),
inference(superposition,[status(thm)],[c_22116,c_26052]) ).
tcf(c_64703,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_15930]) ).
tcf(c_64704,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_15792]) ).
tcf(c_64705,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_24215]) ).
tcf(c_64706,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_24215]) ).
tcf(c_64707,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_15931]) ).
tcf(c_64708,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_22116,c_24885]) ).
tcf(c_64709,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sdtpldt0(xl,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_15793]) ).
tcf(c_64710,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_22116,c_8652]) ).
tcf(c_64711,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_22116,c_45030]) ).
tcf(c_64712,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK0))) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64689,c_103]) ).
tcf(c_64717,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64688,c_103]) ).
tcf(c_64723,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64685,c_103]) ).
tcf(c_64728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64684,c_103]) ).
tcf(c_64735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK0))
| ( sK2(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64687,c_103]) ).
tcf(c_64741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64686,c_103]) ).
tcf(c_64764,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(light_normalisation,[status(thm)],[c_64706,c_22116]) ).
tcf(c_64793,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(light_normalisation,[status(thm)],[c_64702,c_22116]) ).
tcf(c_64802,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_64694,c_22116]) ).
tcf(c_64803,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64802,c_16168]) ).
tcf(c_64827,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_64692,c_22116]) ).
tcf(c_64828,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64827,c_16168]) ).
tcf(c_64843,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_64698,c_22116]) ).
tcf(c_64844,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64843,c_16168]) ).
tcf(c_64853,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_64711,c_22116]) ).
tcf(c_64854,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64853,c_16168]) ).
tcf(c_64864,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_64691,c_22116]) ).
tcf(c_64865,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64864,c_16168]) ).
tcf(c_64874,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_64690,c_22116]) ).
tcf(c_64875,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64874,c_16168]) ).
tcf(c_64951,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(sz00,sdtasdt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_64044,c_106]) ).
tcf(c_64952,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_64044,c_99]) ).
tcf(c_64953,plain,
( ( sdtasdt0(sdtasdt0(xl,xm),sK3(sdtasdt0(xl,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_64044,c_102]) ).
tcf(c_64954,plain,
sdtasdt0(sdtasdt0(xl,xm),sK3(sdtasdt0(xl,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64953,c_103,c_61931]) ).
tcf(c_64955,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64952,c_103,c_61931]) ).
tcf(c_64959,plain,
sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(sz00,sdtasdt0(xl,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64951,c_61937,c_103,c_61931]) ).
tcf(c_64960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62806,c_89]) ).
tcf(c_64963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62806,c_18982]) ).
tcf(c_64965,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62806,c_15630]) ).
tcf(c_64975,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(X0,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_62806,c_92]) ).
tcf(c_64976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62806,c_89]) ).
tcf(c_64977,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xl,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64975,c_103,c_62562]) ).
tcf(c_64982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64976,c_103,c_62562]) ).
tcf(c_64988,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64960,c_103,c_62562]) ).
tcf(c_64994,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64965,c_103,c_2614,c_62562]) ).
tcf(c_64999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64963,c_103,c_2614,c_62562]) ).
tcf(c_65062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62807,c_18291]) ).
tcf(c_65065,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_62807,c_91]) ).
tcf(c_65068,plain,
( doDivides0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62807,c_142]) ).
tcf(c_65070,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62807,c_87]) ).
tcf(c_65072,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62807,c_87]) ).
tcf(c_65075,plain,
doDivides0(sdtasdt0(xl,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_65068,c_103,c_62562]) ).
tcf(c_65076,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65065,c_103,c_62562]) ).
tcf(c_65081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65072,c_103,c_62562]) ).
tcf(c_65087,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65070,c_103,c_62562]) ).
tcf(c_65093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65062,c_103,c_2614,c_62562]) ).
tcf(c_65101,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(sz00,sdtasdt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_65075,c_106]) ).
tcf(c_65102,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_65075,c_99]) ).
tcf(c_65103,plain,
( ( sdtasdt0(sdtasdt0(xl,xn),sK3(sdtasdt0(xl,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_65075,c_102]) ).
tcf(c_65104,plain,
sdtasdt0(sdtasdt0(xl,xn),sK3(sdtasdt0(xl,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_65103,c_103,c_62562]) ).
tcf(c_65105,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xl,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65102,c_103,c_62562]) ).
tcf(c_65109,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(sz00,sdtasdt0(xl,xn))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65101,c_103,c_62562]) ).
tcf(c_65116,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62565,c_109]) ).
tcf(c_65117,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62565,c_11962]) ).
tcf(c_65118,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_62565,c_8700]) ).
tcf(c_65120,plain,
( sdtlseqdt0(xn,xp)
| ( sdtasdt0(xl,xn) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),xq) ),
inference(superposition,[status(thm)],[c_62565,c_110]) ).
tcf(c_65121,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62565,c_73]) ).
tcf(c_65122,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65121,c_62,c_62562]) ).
tcf(c_65125,plain,
( sdtlseqdt0(xn,xp)
| ( sdtasdt0(xl,xn) = xq )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65120,c_62,c_62562]) ).
tcf(c_65129,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65116,c_62,c_62562]) ).
tcf(c_65134,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65117,c_62,c_62562]) ).
tcf(c_65148,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_61159]) ).
tcf(c_65149,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_142,c_61159]) ).
tcf(c_65151,plain,
( doDivides0(xp,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61932,c_61159]) ).
tcf(c_65152,plain,
doDivides0(xp,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_65151,c_61931]) ).
tcf(c_65153,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65149,c_50]) ).
tcf(c_65157,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65148,c_50]) ).
tcf(c_65218,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xl,xm),xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_65152,c_106]) ).
tcf(c_65219,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_65152,c_99]) ).
tcf(c_65220,plain,
( ( sdtasdt0(xp,sK3(xp,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_65152,c_102]) ).
tcf(c_65221,plain,
sdtasdt0(xp,sK3(xp,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_65220,c_59,c_61931]) ).
tcf(c_65222,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65219,c_59,c_61931]) ).
tcf(c_65226,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xl,xm),xp)) = sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65218,c_59,c_61931]) ).
tcf(c_65238,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_61224]) ).
tcf(c_65241,plain,
( sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_2649,c_61224]) ).
tcf(c_65243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_61224]) ).
tcf(c_65244,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3970,c_61224]) ).
tcf(c_65245,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3944,c_61224]) ).
tcf(c_65262,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,xm)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_4124,c_61224]) ).
tcf(c_65263,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xp),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_61224]) ).
tcf(c_65264,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_61224]) ).
tcf(c_65265,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_61224]) ).
tcf(c_65266,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6345,c_61224]) ).
tcf(c_65267,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6515,c_61224]) ).
tcf(c_65268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_11906,c_61224]) ).
tcf(c_65269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_8706,c_61224]) ).
tcf(c_65270,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6346,c_61224]) ).
tcf(c_65271,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6345,c_61224]) ).
tcf(c_65272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xm)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7066,c_61224]) ).
tcf(c_65273,plain,
( sdtlseqdt0(sdtpldt0(sz00,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_61224]) ).
tcf(c_65274,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_61224]) ).
tcf(c_65275,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_61224]) ).
tcf(c_65276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_43085,c_61224]) ).
tcf(c_65277,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_31325,c_61224]) ).
tcf(c_65278,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_22802,c_61224]) ).
tcf(c_65279,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_21198,c_61224]) ).
tcf(c_65280,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_21744,c_61224]) ).
tcf(c_65281,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_22143,c_61224]) ).
tcf(c_65282,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_22503,c_61224]) ).
tcf(c_65283,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),xm)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_58340,c_61224]) ).
tcf(c_65284,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),xm)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_55397,c_61224]) ).
tcf(c_65285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xm)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_49956,c_61224]) ).
tcf(c_65286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_46832,c_61224]) ).
tcf(c_65287,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_34781,c_61224]) ).
tcf(c_65288,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_32880,c_61224]) ).
tcf(c_65289,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_33697,c_61224]) ).
tcf(c_65290,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48493,c_61224]) ).
tcf(c_65291,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_42743,c_61224]) ).
tcf(c_65292,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_46240,c_61224]) ).
tcf(c_65293,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_48080,c_61224]) ).
tcf(c_65294,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xm)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_53565,c_61224]) ).
tcf(c_65295,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),xm)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_54782,c_61224]) ).
tcf(c_65296,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),xm)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_57633,c_61224]) ).
tcf(c_65297,plain,
sdtlseqdt0(xq,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_65241,c_62]) ).
tcf(c_65298,plain,
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(sK1,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65262,c_55]) ).
tcf(c_65304,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65238,c_59]) ).
tcf(c_65311,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xp,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65296,c_55938]) ).
tcf(c_65314,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xp,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65295,c_49747]) ).
tcf(c_65317,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sK0,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65294,c_49492]) ).
tcf(c_65320,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xn,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65293,c_41362]) ).
tcf(c_65323,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xn,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65292,c_40684]) ).
tcf(c_65326,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65290,c_41576]) ).
tcf(c_65329,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xm,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65289,c_27269]) ).
tcf(c_65332,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xm,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65288,c_26991]) ).
tcf(c_65335,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65287,c_28177]) ).
tcf(c_65338,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65284,c_51000]) ).
tcf(c_65341,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65283,c_56252]) ).
tcf(c_65344,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65282,c_16398]) ).
tcf(c_65347,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xl,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65281,c_16168]) ).
tcf(c_65350,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65280,c_14856]) ).
tcf(c_65353,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65279,c_14661]) ).
tcf(c_65356,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65278,c_16905]) ).
tcf(c_65364,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_65263,c_58458]) ).
tcf(c_65365,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65364,c_59]) ).
tcf(c_65394,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65291,c_42683]) ).
tcf(c_65421,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_65273,c_2475]) ).
tcf(c_65422,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65421,c_59]) ).
tcf(c_65667,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_65297,c_109]) ).
tcf(c_65671,plain,
( ( xm = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xq) ),
inference(superposition,[status(thm)],[c_65297,c_110]) ).
tcf(c_65672,plain,
( ( sdtpldt0(xq,sK2(xq,xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_65297,c_73]) ).
tcf(c_65673,plain,
sdtpldt0(xq,sK2(xq,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_65672,c_62,c_50]) ).
tcf(c_65674,plain,
( ( xm = xq )
| ~ sdtlseqdt0(xm,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65671,c_62,c_50]) ).
tcf(c_65677,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65667,c_62,c_50]) ).
tcf(c_65681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_65269,c_62,c_11614,c_65269]) ).
tcf(c_65699,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_65681]) ).
tcf(c_65702,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17331,c_65681]) ).
tcf(c_65703,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_65681,c_109]) ).
tcf(c_65707,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_65681,c_110]) ).
tcf(c_65708,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_65681,c_73]) ).
tcf(c_65716,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65708,c_50]) ).
tcf(c_65724,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65707,c_50]) ).
tcf(c_65733,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65703,c_50]) ).
tcf(c_65745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xm)),xm)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_70]) ).
tcf(c_65757,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xq,xm)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_70]) ).
tcf(c_65758,plain,
! [X0: $i] :
( ( sK2(xq,xm) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ( sdtpldt0(xq,X0) != xm ) ),
inference(superposition,[status(thm)],[c_65673,c_76]) ).
tcf(c_65759,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xq,X0))
| ( sK2(xq,xm) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),X0) ),
inference(superposition,[status(thm)],[c_65673,c_68]) ).
tcf(c_65760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xm) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(X0,sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_68]) ).
tcf(c_65761,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ doDivides0(X0,sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_98]) ).
tcf(c_65762,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ( sdtpldt0(X0,sK2(xq,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_65673,c_77]) ).
tcf(c_65766,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(xq,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_6345]) ).
tcf(c_65767,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(xq,xm)))
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_6515]) ).
tcf(c_65769,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ sdtlseqdt0(xp,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(superposition,[status(thm)],[c_65673,c_28380]) ).
tcf(c_65770,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sz00,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_11906]) ).
tcf(c_65773,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xm))
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_6346]) ).
tcf(c_65774,plain,
( ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ( xm != xp ) ),
inference(superposition,[status(thm)],[c_65673,c_4453]) ).
tcf(c_65775,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_65673,c_10288]) ).
tcf(c_65780,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ( sdtpldt0(X0,sK2(xq,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65762,c_62]) ).
tcf(c_65785,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ doDivides0(X0,sK2(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65761,c_62]) ).
tcf(c_65791,plain,
! [X0: $i] :
( ( sK2(xq,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ( sdtpldt0(xq,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65758,c_62]) ).
tcf(c_65796,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK2(xq,xm)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65757,c_62]) ).
tcf(c_65802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xm)),xm)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65745,c_62]) ).
tcf(c_65813,plain,
( sdtlseqdt0(xp,xm)
| sdtlseqdt0(xm,xp)
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(light_normalisation,[status(thm)],[c_65767,c_65673]) ).
tcf(c_65814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(X0,sK2(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65760,c_62]) ).
tcf(c_65820,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xq,X0))
| ( sK2(xq,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65759,c_62]) ).
tcf(c_65844,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65769,c_61119]) ).
tcf(c_65850,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(light_normalisation,[status(thm)],[c_65775,c_65673]) ).
tcf(c_65851,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65850,c_50]) ).
tcf(c_66034,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_65677]) ).
tcf(c_66052,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_65677]) ).
tcf(c_66053,plain,
( sdtlseqdt0(sdtpldt0(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_65677]) ).
tcf(c_66055,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66052,c_62]) ).
tcf(c_66060,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66053,c_2476]) ).
tcf(c_66061,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66060,c_62]) ).
tcf(c_66091,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108,c_65702]) ).
tcf(c_66092,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66091,c_103]) ).
tcf(c_66113,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_64708,c_109]) ).
tcf(c_66114,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_11962]) ).
tcf(c_66115,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_8700]) ).
tcf(c_66116,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_3979]) ).
tcf(c_66117,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_64708,c_110]) ).
tcf(c_66118,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_73]) ).
tcf(c_66119,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_5863]) ).
tcf(c_66120,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_26045]) ).
tcf(c_66121,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_8679]) ).
tcf(c_66204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))),sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22176,c_70]) ).
tcf(c_66216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22176,c_70]) ).
tcf(c_66217,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_22176,c_76]) ).
tcf(c_66218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)),X0) ),
inference(superposition,[status(thm)],[c_22176,c_68]) ).
tcf(c_66219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sK0))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22176,c_68]) ).
tcf(c_66221,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) != sdtpldt0(xl,sK0) ) ),
inference(superposition,[status(thm)],[c_22176,c_77]) ).
tcf(c_66222,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66221,c_16168]) ).
tcf(c_66227,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66217,c_16168]) ).
tcf(c_66232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66216,c_16168]) ).
tcf(c_66238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))),sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66204,c_16168]) ).
tcf(c_66244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sK0))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66219,c_16168]) ).
tcf(c_66250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66218,c_16168]) ).
tcf(c_66268,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_65304,c_109]) ).
tcf(c_66269,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65304,c_11962]) ).
tcf(c_66270,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65304,c_8700]) ).
tcf(c_66272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_65304,c_110]) ).
tcf(c_66273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xp,sK2(xp,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65304,c_73]) ).
tcf(c_66274,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65304,c_3965]) ).
tcf(c_66296,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_41840]) ).
tcf(c_66298,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_45030]) ).
tcf(c_66299,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65304,c_109]) ).
tcf(c_66303,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_65304,c_110]) ).
tcf(c_66304,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65304,c_73]) ).
tcf(c_66308,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xm))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65304,c_5910]) ).
tcf(c_66309,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_26045]) ).
tcf(c_66310,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_8679]) ).
tcf(c_66315,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66304,c_50]) ).
tcf(c_66319,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66303,c_50]) ).
tcf(c_66324,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xp,sK2(xp,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66273,c_59]) ).
tcf(c_66328,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66272,c_59]) ).
tcf(c_66333,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66299,c_50]) ).
tcf(c_66339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66268,c_59]) ).
tcf(c_66345,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_66308,c_26865]) ).
tcf(c_66346,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66345,c_50]) ).
tcf(c_66351,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66269,c_59]) ).
tcf(c_66358,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66270,c_59]) ).
tcf(c_66365,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66310,c_2471]) ).
tcf(c_66366,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66365,c_50]) ).
tcf(c_66372,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66309,c_2471]) ).
tcf(c_66373,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66296,c_59]) ).
tcf(c_66382,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66298,c_59]) ).
tcf(c_66440,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_98,c_61837]) ).
tcf(c_66441,plain,
! [X0: $i] :
( doDivides0(sK0,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_142,c_61837]) ).
tcf(c_66443,plain,
( doDivides0(sK0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_61932,c_61837]) ).
tcf(c_66444,plain,
doDivides0(sK0,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_66443,c_61931]) ).
tcf(c_66445,plain,
! [X0: $i] :
( doDivides0(sK0,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66441,c_50]) ).
tcf(c_66449,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66440,c_50]) ).
tcf(c_66466,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_61854]) ).
tcf(c_66467,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_61854]) ).
tcf(c_66486,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_61854]) ).
tcf(c_66487,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_61854]) ).
tcf(c_66488,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66467,c_52]) ).
tcf(c_66493,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66486,c_52]) ).
tcf(c_66498,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66487,c_2473]) ).
tcf(c_66499,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66498,c_52]) ).
tcf(c_66511,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_66488,c_109]) ).
tcf(c_66512,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_66488,c_11962]) ).
tcf(c_66513,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_66488,c_8700]) ).
tcf(c_66515,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_66488,c_110]) ).
tcf(c_66516,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sK0,sK2(sK0,X0)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66488,c_73]) ).
tcf(c_66537,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_66488,c_10288]) ).
tcf(c_66538,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_66488,c_41840]) ).
tcf(c_66540,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_66488,c_45030]) ).
tcf(c_66541,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK0,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_66488,c_109]) ).
tcf(c_66545,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_66488,c_110]) ).
tcf(c_66546,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66488,c_73]) ).
tcf(c_66550,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xm))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_66488,c_5910]) ).
tcf(c_66551,plain,
( sdtlseqdt0(sK0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_66488,c_26045]) ).
tcf(c_66552,plain,
( sdtlseqdt0(sK0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_66488,c_8679]) ).
tcf(c_66553,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66546,c_50]) ).
tcf(c_66557,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66545,c_50]) ).
tcf(c_66562,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sK0,sK2(sK0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66516,c_52]) ).
tcf(c_66566,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66515,c_52]) ).
tcf(c_66571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK0,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66541,c_50]) ).
tcf(c_66577,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66511,c_52]) ).
tcf(c_66583,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_66550,c_26865]) ).
tcf(c_66584,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66583,c_50]) ).
tcf(c_66589,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66512,c_52]) ).
tcf(c_66596,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66513,c_52]) ).
tcf(c_66603,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66552,c_2471]) ).
tcf(c_66604,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66603,c_50]) ).
tcf(c_66611,plain,
( sdtlseqdt0(sK0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66551,c_2471]) ).
tcf(c_66612,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66538,c_52]) ).
tcf(c_66621,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66540,c_52]) ).
tcf(c_66708,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xl,xm),sK0)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_66444,c_106]) ).
tcf(c_66709,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_66444,c_99]) ).
tcf(c_66710,plain,
( ( sdtasdt0(sK0,sK3(sK0,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_66444,c_102]) ).
tcf(c_66711,plain,
sdtasdt0(sK0,sK3(sK0,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_66710,c_52,c_61931]) ).
tcf(c_66712,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66709,c_52,c_61931]) ).
tcf(c_66716,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xl,xm),sK0)) = sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66708,c_52,c_61931]) ).
tcf(c_66723,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_65298,c_109]) ).
tcf(c_66727,plain,
( sdtlseqdt0(xq,sK1)
| ( xm = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sK1) ),
inference(superposition,[status(thm)],[c_65298,c_110]) ).
tcf(c_66728,plain,
( sdtlseqdt0(xq,sK1)
| ( sdtpldt0(sK1,sK2(sK1,xm)) = xm )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_65298,c_73]) ).
tcf(c_66729,plain,
( sdtlseqdt0(xq,sK1)
| ( sdtpldt0(sK1,sK2(sK1,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66728,c_55,c_50]) ).
tcf(c_66732,plain,
( sdtlseqdt0(xq,sK1)
| ( xm = sK1 )
| ~ sdtlseqdt0(xm,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66727,c_55,c_50]) ).
tcf(c_66736,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66723,c_55,c_50]) ).
tcf(c_66747,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_65245,c_109]) ).
tcf(c_66748,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65245,c_11962]) ).
tcf(c_66749,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65245,c_8700]) ).
tcf(c_66751,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_65245,c_110]) ).
tcf(c_66752,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65245,c_73]) ).
tcf(c_66774,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_41840]) ).
tcf(c_66776,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_45030]) ).
tcf(c_66777,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_65245,c_109]) ).
tcf(c_66781,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_65245,c_110]) ).
tcf(c_66782,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65245,c_73]) ).
tcf(c_66786,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,xm))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65245,c_5910]) ).
tcf(c_66787,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_26045]) ).
tcf(c_66788,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_8679]) ).
tcf(c_66789,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( sdtpldt0(X0,sK2(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66782,c_50]) ).
tcf(c_66793,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66781,c_50]) ).
tcf(c_66799,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66751,c_62]) ).
tcf(c_66804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66777,c_50]) ).
tcf(c_66810,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66747,c_62]) ).
tcf(c_66816,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_66786,c_26865]) ).
tcf(c_66817,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xm,xq))
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66816,c_50]) ).
tcf(c_66822,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66748,c_62]) ).
tcf(c_66829,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66749,c_62]) ).
tcf(c_66836,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66788,c_2471]) ).
tcf(c_66837,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66836,c_50]) ).
tcf(c_66843,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66787,c_2471]) ).
tcf(c_66886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xm)),sdtasdt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62097,c_70]) ).
tcf(c_66888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_62097,c_17825]) ).
tcf(c_66889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62097,c_17392]) ).
tcf(c_66890,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_62097,c_14477]) ).
tcf(c_66896,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62097,c_145]) ).
tcf(c_66898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62097,c_70]) ).
tcf(c_66899,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_62097,c_76]) ).
tcf(c_66900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_62097,c_68]) ).
tcf(c_66901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62097,c_68]) ).
tcf(c_66903,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(X0,sdtasdt0(xl,xm)) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_62097,c_77]) ).
tcf(c_66904,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_51524]) ).
tcf(c_66905,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_49956]) ).
tcf(c_66906,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62097,c_47638]) ).
tcf(c_66907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_41879]) ).
tcf(c_66908,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_46832]) ).
tcf(c_66909,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_43963]) ).
tcf(c_66910,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_43470]) ).
tcf(c_66911,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_43085]) ).
tcf(c_66912,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_42039]) ).
tcf(c_66913,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_35146]) ).
tcf(c_66914,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_26041]) ).
tcf(c_66915,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_26044]) ).
tcf(c_66916,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_62097,c_26052]) ).
tcf(c_66917,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_15930]) ).
tcf(c_66918,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_15792]) ).
tcf(c_66919,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_24215]) ).
tcf(c_66920,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_24215]) ).
tcf(c_66921,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_15931]) ).
tcf(c_66922,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_24885]) ).
tcf(c_66923,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_15793]) ).
tcf(c_66924,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xl,xm) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_62097,c_8652]) ).
tcf(c_66925,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62097,c_45030]) ).
tcf(c_66926,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_66896,c_103,c_61931]) ).
tcf(c_66927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xm)) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66903,c_103,c_61931]) ).
tcf(c_66931,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66899,c_103,c_61931]) ).
tcf(c_66935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sdtasdt0(xl,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66898,c_103,c_61931]) ).
tcf(c_66941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66901,c_103,c_61931]) ).
tcf(c_66946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66900,c_103,c_61931]) ).
tcf(c_66951,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66890,c_103,c_61931]) ).
tcf(c_66956,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xl,xm) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66924,c_61931]) ).
tcf(c_66961,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66923,c_61931]) ).
tcf(c_66967,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66921,c_61931]) ).
tcf(c_66973,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66920,c_62097]) ).
tcf(c_66974,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66973,c_61931]) ).
tcf(c_66982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xm)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66888,c_103,c_61931]) ).
tcf(c_66990,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66918,c_61931]) ).
tcf(c_66997,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66917,c_61931]) ).
tcf(c_67004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66889,c_103,c_61931]) ).
tcf(c_67019,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66916,c_62097]) ).
tcf(c_67020,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67019,c_61931]) ).
tcf(c_67026,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66915,c_62097]) ).
tcf(c_67027,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67026,c_61931]) ).
tcf(c_67034,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66913,c_61931]) ).
tcf(c_67042,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66914,c_62097]) ).
tcf(c_67043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67042,c_61931]) ).
tcf(c_67051,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66908,c_62097]) ).
tcf(c_67052,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67051,c_61931]) ).
tcf(c_67059,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm)) ),
inference(light_normalisation,[status(thm)],[c_66906,c_62097]) ).
tcf(c_67060,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67059,c_61931]) ).
tcf(c_67067,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66912,c_62097]) ).
tcf(c_67068,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67067,c_61931]) ).
tcf(c_67076,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66911,c_61931]) ).
tcf(c_67084,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66910,c_61931]) ).
tcf(c_67092,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66909,c_61931]) ).
tcf(c_67099,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66925,c_62097]) ).
tcf(c_67100,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67099,c_61931]) ).
tcf(c_67109,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66905,c_62097]) ).
tcf(c_67110,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67109,c_61931]) ).
tcf(c_67118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66907,c_62097]) ).
tcf(c_67119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67118,c_61931]) ).
tcf(c_67129,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_66904,c_62097]) ).
tcf(c_67130,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67129,c_61931]) ).
tcf(c_67210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK1))),sdtpldt0(xl,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_70]) ).
tcf(c_67222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_70]) ).
tcf(c_67223,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_22256,c_76]) ).
tcf(c_67224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),X0) ),
inference(superposition,[status(thm)],[c_22256,c_68]) ).
tcf(c_67225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK1))
| ( sK2(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_68]) ).
tcf(c_67226,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_98]) ).
tcf(c_67227,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK1))) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_22256,c_77]) ).
tcf(c_67228,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_22256,c_51524]) ).
tcf(c_67229,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_22256,c_49956]) ).
tcf(c_67230,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_22256,c_47638]) ).
tcf(c_67232,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_22256,c_46832]) ).
tcf(c_67233,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_22256,c_43963]) ).
tcf(c_67234,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_22256,c_43470]) ).
tcf(c_67235,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_22256,c_43085]) ).
tcf(c_67236,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_22256,c_42039]) ).
tcf(c_67237,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_22256,c_35146]) ).
tcf(c_67240,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1))),sz00) ),
inference(superposition,[status(thm)],[c_22256,c_26052]) ).
tcf(c_67241,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_15930]) ).
tcf(c_67242,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_15792]) ).
tcf(c_67243,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_24215]) ).
tcf(c_67244,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_24215]) ).
tcf(c_67245,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_15931]) ).
tcf(c_67246,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_22256,c_24885]) ).
tcf(c_67247,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sdtpldt0(xl,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_15793]) ).
tcf(c_67248,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_22256,c_8652]) ).
tcf(c_67249,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_22256,c_45030]) ).
tcf(c_67250,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK1))) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67227,c_103]) ).
tcf(c_67255,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67226,c_103]) ).
tcf(c_67261,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67223,c_103]) ).
tcf(c_67266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67222,c_103]) ).
tcf(c_67273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sK1))
| ( sK2(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67225,c_103]) ).
tcf(c_67279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67224,c_103]) ).
tcf(c_67302,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(light_normalisation,[status(thm)],[c_67244,c_22256]) ).
tcf(c_67331,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(light_normalisation,[status(thm)],[c_67240,c_22256]) ).
tcf(c_67340,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_67232,c_22256]) ).
tcf(c_67341,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67340,c_16398]) ).
tcf(c_67365,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_67230,c_22256]) ).
tcf(c_67366,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67365,c_16398]) ).
tcf(c_67381,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_67236,c_22256]) ).
tcf(c_67382,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67381,c_16398]) ).
tcf(c_67391,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_67249,c_22256]) ).
tcf(c_67392,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67391,c_16398]) ).
tcf(c_67402,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_67229,c_22256]) ).
tcf(c_67403,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67402,c_16398]) ).
tcf(c_67412,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_67228,c_22256]) ).
tcf(c_67413,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67412,c_16398]) ).
tcf(c_67427,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_66926,c_109]) ).
tcf(c_67431,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sz00) ),
inference(superposition,[status(thm)],[c_66926,c_110]) ).
tcf(c_67432,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_66926,c_73]) ).
tcf(c_67433,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_67432,c_103,c_61931]) ).
tcf(c_67434,plain,
~ sdtlseqdt0(sdtasdt0(xl,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_67431,c_61937,c_103,c_61931]) ).
tcf(c_67435,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67427,c_103,c_61931]) ).
tcf(c_67442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62098,c_70]) ).
tcf(c_67447,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62098,c_5155]) ).
tcf(c_67452,plain,
( sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62098,c_145]) ).
tcf(c_67454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_62098,c_70]) ).
tcf(c_67455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_62098,c_76]) ).
tcf(c_67456,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62098,c_68]) ).
tcf(c_67457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_62098,c_68]) ).
tcf(c_67459,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_62098,c_77]) ).
tcf(c_67460,plain,
sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_67452,c_103,c_61931]) ).
tcf(c_67461,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67447,c_103,c_61931]) ).
tcf(c_67464,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67459,c_103,c_61931]) ).
tcf(c_67468,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67455,c_103,c_61931]) ).
tcf(c_67473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(sdtasdt0(xl,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67456,c_103,c_61931]) ).
tcf(c_67478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67454,c_103,c_61931]) ).
tcf(c_67483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67442,c_103,c_61931]) ).
tcf(c_67583,plain,
( ( sdtpldt0(sdtasdt0(xl,xm),sK2(sdtasdt0(xl,xm),sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_67460,c_73]) ).
tcf(c_67584,plain,
sdtpldt0(sdtasdt0(xl,xm),sK2(sdtasdt0(xl,xm),sdtasdt0(xl,xm))) = sdtasdt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_67583,c_61931]) ).
tcf(c_67585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xn)),sdtasdt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62808,c_70]) ).
tcf(c_67587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_62808,c_17825]) ).
tcf(c_67588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62808,c_17392]) ).
tcf(c_67589,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_62808,c_14477]) ).
tcf(c_67595,plain,
( sdtlseqdt0(sz00,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62808,c_145]) ).
tcf(c_67597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62808,c_70]) ).
tcf(c_67598,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_62808,c_76]) ).
tcf(c_67599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_62808,c_68]) ).
tcf(c_67600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62808,c_68]) ).
tcf(c_67602,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(X0,sdtasdt0(xl,xn)) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_62808,c_77]) ).
tcf(c_67603,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_51524]) ).
tcf(c_67604,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_49956]) ).
tcf(c_67605,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62808,c_47638]) ).
tcf(c_67606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_41879]) ).
tcf(c_67607,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_46832]) ).
tcf(c_67608,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_43963]) ).
tcf(c_67609,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_43470]) ).
tcf(c_67610,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_43085]) ).
tcf(c_67611,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_42039]) ).
tcf(c_67612,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_35146]) ).
tcf(c_67613,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_26041]) ).
tcf(c_67614,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_26044]) ).
tcf(c_67615,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_62808,c_26052]) ).
tcf(c_67616,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_15930]) ).
tcf(c_67617,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_15792]) ).
tcf(c_67618,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_24215]) ).
tcf(c_67619,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_24215]) ).
tcf(c_67620,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_15931]) ).
tcf(c_67621,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_24885]) ).
tcf(c_67622,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_15793]) ).
tcf(c_67623,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xl,xn) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_62808,c_8652]) ).
tcf(c_67624,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_45030]) ).
tcf(c_67625,plain,
sdtlseqdt0(sz00,sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_67595,c_103,c_62562]) ).
tcf(c_67626,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xl,xn)) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67602,c_103,c_62562]) ).
tcf(c_67630,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67598,c_103,c_62562]) ).
tcf(c_67634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sdtasdt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67597,c_103,c_62562]) ).
tcf(c_67640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67600,c_103,c_62562]) ).
tcf(c_67645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67599,c_103,c_62562]) ).
tcf(c_67650,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67589,c_103,c_62562]) ).
tcf(c_67655,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xl,xn) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67623,c_62562]) ).
tcf(c_67660,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67622,c_62562]) ).
tcf(c_67666,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67620,c_62562]) ).
tcf(c_67672,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67619,c_62808]) ).
tcf(c_67673,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67672,c_62562]) ).
tcf(c_67681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xl,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67587,c_103,c_62562]) ).
tcf(c_67689,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67617,c_62562]) ).
tcf(c_67696,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67616,c_62562]) ).
tcf(c_67703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67588,c_103,c_62562]) ).
tcf(c_67718,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67615,c_62808]) ).
tcf(c_67719,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67718,c_62562]) ).
tcf(c_67725,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67614,c_62808]) ).
tcf(c_67726,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67725,c_62562]) ).
tcf(c_67733,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67612,c_62562]) ).
tcf(c_67741,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67613,c_62808]) ).
tcf(c_67742,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67741,c_62562]) ).
tcf(c_67750,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67607,c_62808]) ).
tcf(c_67751,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67750,c_62562]) ).
tcf(c_67758,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn)) ),
inference(light_normalisation,[status(thm)],[c_67605,c_62808]) ).
tcf(c_67759,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67758,c_62562]) ).
tcf(c_67766,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67611,c_62808]) ).
tcf(c_67767,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67766,c_62562]) ).
tcf(c_67775,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67610,c_62562]) ).
tcf(c_67783,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67609,c_62562]) ).
tcf(c_67791,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67608,c_62562]) ).
tcf(c_67798,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67624,c_62808]) ).
tcf(c_67799,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67798,c_62562]) ).
tcf(c_67808,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67604,c_62808]) ).
tcf(c_67809,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67808,c_62562]) ).
tcf(c_67817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67606,c_62808]) ).
tcf(c_67818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67817,c_62562]) ).
tcf(c_67828,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_67603,c_62808]) ).
tcf(c_67829,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67828,c_62562]) ).
tcf(c_67903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67625,c_109]) ).
tcf(c_67907,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_67625,c_110]) ).
tcf(c_67908,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67625,c_73]) ).
tcf(c_67909,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_67908,c_103,c_62562]) ).
tcf(c_67910,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67907,c_103,c_62562]) ).
tcf(c_67913,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67903,c_103,c_62562]) ).
tcf(c_67917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62809,c_70]) ).
tcf(c_67918,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_62809,c_24035]) ).
tcf(c_67919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62809,c_17825]) ).
tcf(c_67920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_62809,c_17392]) ).
tcf(c_67921,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_62809,c_14477]) ).
tcf(c_67922,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62809,c_5155]) ).
tcf(c_67927,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62809,c_145]) ).
tcf(c_67929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_62809,c_70]) ).
tcf(c_67930,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_62809,c_76]) ).
tcf(c_67931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62809,c_68]) ).
tcf(c_67932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_62809,c_68]) ).
tcf(c_67934,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_62809,c_77]) ).
tcf(c_67935,plain,
sdtlseqdt0(sdtasdt0(xl,xn),sdtasdt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_67927,c_103,c_62562]) ).
tcf(c_67936,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67922,c_103,c_62562]) ).
tcf(c_67939,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67934,c_103,c_62562]) ).
tcf(c_67943,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xl,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67930,c_103,c_62562]) ).
tcf(c_67948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(sdtasdt0(xl,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67931,c_103,c_62562]) ).
tcf(c_67953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67929,c_103,c_62562]) ).
tcf(c_67958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67917,c_103,c_62562]) ).
tcf(c_67963,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67921,c_103,c_62562]) ).
tcf(c_67968,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67918,c_103,c_62562]) ).
tcf(c_67974,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67920,c_103,c_62562]) ).
tcf(c_67982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67919,c_103,c_62562]) ).
tcf(c_67992,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_67935,c_8700]) ).
tcf(c_67995,plain,
( ( sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),sdtasdt0(xl,xn))) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67935,c_73]) ).
tcf(c_67996,plain,
sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),sdtasdt0(xl,xn))) = sdtasdt0(xl,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_67995,c_62562]) ).
tcf(c_68022,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67246,c_109]) ).
tcf(c_68023,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_11962]) ).
tcf(c_68024,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_8700]) ).
tcf(c_68025,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_3979]) ).
tcf(c_68026,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67246,c_110]) ).
tcf(c_68027,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_73]) ).
tcf(c_68028,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_5863]) ).
tcf(c_68029,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_26045]) ).
tcf(c_68030,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_8679]) ).
tcf(c_68167,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67963,c_109]) ).
tcf(c_68168,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_67963,c_11962]) ).
tcf(c_68169,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_67963,c_8700]) ).
tcf(c_68170,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_67963,c_3979]) ).
tcf(c_68171,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67963,c_110]) ).
tcf(c_68172,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_67963,c_73]) ).
tcf(c_68173,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(superposition,[status(thm)],[c_67963,c_5863]) ).
tcf(c_68176,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68169,c_62562]) ).
tcf(c_68182,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68167,c_62562]) ).
tcf(c_68189,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68173,c_62562]) ).
tcf(c_68195,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68172,c_62562]) ).
tcf(c_68200,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68171,c_62562]) ).
tcf(c_68238,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15721,c_109]) ).
tcf(c_68239,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15721,c_11962]) ).
tcf(c_68240,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_15721,c_8700]) ).
tcf(c_68241,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15721,c_3979]) ).
tcf(c_68242,plain,
( ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xn) ),
inference(superposition,[status(thm)],[c_15721,c_110]) ).
tcf(c_68243,plain,
( ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK2(xn,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15721,c_73]) ).
tcf(c_68244,plain,
( sdtlseqdt0(sdtpldt0(xq,xn),xp)
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15721,c_5863]) ).
tcf(c_68247,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_68244,c_39902]) ).
tcf(c_68248,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68247,c_51]) ).
tcf(c_68256,plain,
( ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK2(xn,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68243,c_51]) ).
tcf(c_68262,plain,
( ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68242,c_51]) ).
tcf(c_68269,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68238,c_51]) ).
tcf(c_68280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_70]) ).
tcf(c_68281,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_22426,c_24035]) ).
tcf(c_68282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_22426,c_17825]) ).
tcf(c_68283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_22426,c_17392]) ).
tcf(c_68284,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_22426,c_14477]) ).
tcf(c_68285,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_5155]) ).
tcf(c_68288,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_22426,c_75]) ).
tcf(c_68290,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_145]) ).
tcf(c_68291,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_84]) ).
tcf(c_68292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_22426,c_70]) ).
tcf(c_68293,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(superposition,[status(thm)],[c_22426,c_76]) ).
tcf(c_68294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_68]) ).
tcf(c_68295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_68]) ).
tcf(c_68296,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_98]) ).
tcf(c_68297,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_22426,c_77]) ).
tcf(c_68298,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_68291,c_49,c_22296]) ).
tcf(c_68299,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_68290,c_49,c_22296]) ).
tcf(c_68300,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_68288,c_58,c_49,c_22296]) ).
tcf(c_68301,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68285,c_49,c_22296]) ).
tcf(c_68304,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68297,c_49,c_22296]) ).
tcf(c_68308,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68296,c_49,c_22296]) ).
tcf(c_68313,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68293,c_49,c_22296]) ).
tcf(c_68317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68295,c_49,c_22296]) ).
tcf(c_68322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68294,c_49,c_22296]) ).
tcf(c_68327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68292,c_49,c_22296]) ).
tcf(c_68332,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68284,c_49,c_22296]) ).
tcf(c_68337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68280,c_49,c_22296]) ).
tcf(c_68342,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68281,c_49,c_22296]) ).
tcf(c_68348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68283,c_49,c_22296]) ).
tcf(c_68356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68282,c_49,c_22296]) ).
tcf(c_68609,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2775]) ).
tcf(c_68610,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2709]) ).
tcf(c_68611,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2705]) ).
tcf(c_68612,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2704]) ).
tcf(c_68613,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2703]) ).
tcf(c_68614,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2702]) ).
tcf(c_68615,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2701]) ).
tcf(c_68616,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2700]) ).
tcf(c_68617,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2699]) ).
tcf(c_68618,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68298,c_79]) ).
tcf(c_68619,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68298,c_78]) ).
tcf(c_68620,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68298,c_95]) ).
tcf(c_68621,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68298,c_82]) ).
tcf(c_68622,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68298,c_152]) ).
tcf(c_68623,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68298,c_96]) ).
tcf(c_68624,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68298,c_83]) ).
tcf(c_68625,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_68298,c_94]) ).
tcf(c_68626,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_68298,c_93]) ).
tcf(c_68627,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_68298,c_81]) ).
tcf(c_68628,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_68298,c_80]) ).
tcf(c_68660,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_51,c_2776]) ).
tcf(c_68661,plain,
sdtasdt0(xm,sK0) = sdtasdt0(sK0,xm),
inference(superposition,[status(thm)],[c_52,c_2776]) ).
tcf(c_68662,plain,
sdtasdt0(xm,sK1) = sdtasdt0(sK1,xm),
inference(superposition,[status(thm)],[c_55,c_2776]) ).
tcf(c_68663,plain,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_59,c_2776]) ).
tcf(c_68664,plain,
sdtasdt0(xm,xq) = sdtasdt0(xq,xm),
inference(superposition,[status(thm)],[c_62,c_2776]) ).
tcf(c_68665,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2776]) ).
tcf(c_68666,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),xm) = sdtasdt0(xm,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2776]) ).
tcf(c_68667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2776]) ).
tcf(c_68668,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),xm) = sdtasdt0(xm,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2776]) ).
tcf(c_68669,plain,
sdtasdt0(xm,sz00) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_103,c_2776]) ).
tcf(c_68670,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_105,c_2776]) ).
tcf(c_68671,plain,
sdtasdt0(sdtasdt0(xl,xq),xm) = sdtasdt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2776]) ).
tcf(c_68672,plain,
sdtasdt0(sdtpldt0(xp,xq),xm) = sdtasdt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2776]) ).
tcf(c_68673,plain,
sdtasdt0(sdtpldt0(xl,xm),xm) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2776]) ).
tcf(c_68674,plain,
sdtasdt0(sdtpldt0(xl,xn),xm) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2776]) ).
tcf(c_68675,plain,
sdtasdt0(sdtpldt0(xl,sK0),xm) = sdtasdt0(xm,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2776]) ).
tcf(c_68676,plain,
sdtasdt0(sdtpldt0(xl,sK1),xm) = sdtasdt0(xm,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2776]) ).
tcf(c_68677,plain,
sdtasdt0(sdtpldt0(xl,xp),xm) = sdtasdt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2776]) ).
tcf(c_68678,plain,
sdtasdt0(sdtpldt0(xl,xq),xm) = sdtasdt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2776]) ).
tcf(c_68679,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2776]) ).
tcf(c_68680,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2776]) ).
tcf(c_68681,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2776]) ).
tcf(c_68682,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2776]) ).
tcf(c_68683,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2776]) ).
tcf(c_68684,plain,
sdtasdt0(sdtpldt0(xm,sK0),xm) = sdtasdt0(xm,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2776]) ).
tcf(c_68685,plain,
sdtasdt0(sdtpldt0(xm,sK1),xm) = sdtasdt0(xm,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2776]) ).
tcf(c_68686,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2776]) ).
tcf(c_68687,plain,
sdtasdt0(sdtpldt0(xm,xp),xm) = sdtasdt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2776]) ).
tcf(c_68688,plain,
sdtasdt0(sdtpldt0(xm,xq),xm) = sdtasdt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2776]) ).
tcf(c_68689,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2776]) ).
tcf(c_68690,plain,
sdtasdt0(sdtpldt0(xn,sK0),xm) = sdtasdt0(xm,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2776]) ).
tcf(c_68691,plain,
sdtasdt0(sdtpldt0(xn,sK1),xm) = sdtasdt0(xm,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2776]) ).
tcf(c_68692,plain,
sdtasdt0(sdtpldt0(xn,xp),xm) = sdtasdt0(xm,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2776]) ).
tcf(c_68693,plain,
sdtasdt0(sdtpldt0(xn,xq),xm) = sdtasdt0(xm,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2776]) ).
tcf(c_68694,plain,
sdtasdt0(sdtpldt0(sK0,sK1),xm) = sdtasdt0(xm,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2776]) ).
tcf(c_68695,plain,
sdtasdt0(sdtpldt0(xp,sK0),xm) = sdtasdt0(xm,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2776]) ).
tcf(c_68696,plain,
sdtasdt0(sdtpldt0(xq,sK0),xm) = sdtasdt0(xm,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2776]) ).
tcf(c_68697,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2776]) ).
tcf(c_68698,plain,
sdtasdt0(sdtpldt0(xp,sK1),xm) = sdtasdt0(xm,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2776]) ).
tcf(c_68699,plain,
sdtasdt0(sdtpldt0(xq,sK1),xm) = sdtasdt0(xm,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2776]) ).
tcf(c_68700,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2776]) ).
tcf(c_68701,plain,
sdtasdt0(sdtasdt0(xl,xm),xm) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2776]) ).
tcf(c_68702,plain,
sdtasdt0(sdtasdt0(xl,xn),xm) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2776]) ).
tcf(c_68703,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2776]) ).
tcf(c_68927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_68660,c_89]) ).
tcf(c_68929,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_68660,c_27527]) ).
tcf(c_68930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_68660,c_18982]) ).
tcf(c_68931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_68660,c_18291]) ).
tcf(c_68932,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_68660,c_15630]) ).
tcf(c_68934,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_68660,c_91]) ).
tcf(c_68935,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68660,c_5229]) ).
tcf(c_68936,plain,
( ( xn = sz00 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_68660,c_90]) ).
tcf(c_68937,plain,
( doDivides0(xn,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68660,c_142]) ).
tcf(c_68938,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68660,c_97]) ).
tcf(c_68939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_68660,c_87]) ).
tcf(c_68940,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68660,c_85]) ).
tcf(c_68941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xn))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_68660,c_87]) ).
tcf(c_68942,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_68660,c_92]) ).
tcf(c_68943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_68660,c_89]) ).
tcf(c_68944,plain,
aNaturalNumber0(sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_68938,c_51,c_50]) ).
tcf(c_68945,plain,
doDivides0(xn,sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_68937,c_51,c_50]) ).
tcf(c_68946,plain,
sdtlseqdt0(xn,sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_68940,c_11841,c_51,c_50]) ).
tcf(c_68947,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68935,c_11841,c_51,c_50]) ).
tcf(c_68950,plain,
( ( xn = sz00 )
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68936,c_11841,c_51,c_50]) ).
tcf(c_68953,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68942,c_11841,c_51,c_50]) ).
tcf(c_68957,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68934,c_51,c_50]) ).
tcf(c_68962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68943,c_11841,c_51,c_50]) ).
tcf(c_68967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,xn))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68941,c_51,c_50]) ).
tcf(c_68973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68939,c_51,c_50]) ).
tcf(c_68979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(X0,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68927,c_11841,c_51,c_50]) ).
tcf(c_68984,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68932,c_11841,c_51,c_50]) ).
tcf(c_68989,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68929,c_11841,c_51,c_50]) ).
tcf(c_68995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68931,c_51,c_50]) ).
tcf(c_69004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68930,c_11841,c_51,c_50]) ).
tcf(c_69113,plain,
sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2776]) ).
tcf(c_69114,plain,
sdtasdt0(sdtasdt0(xm,xn),xl) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2775]) ).
tcf(c_69115,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2709]) ).
tcf(c_69116,plain,
sdtpldt0(sdtasdt0(xm,xn),xq) = sdtpldt0(xq,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2705]) ).
tcf(c_69117,plain,
sdtpldt0(sdtasdt0(xm,xn),xp) = sdtpldt0(xp,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2704]) ).
tcf(c_69118,plain,
sdtpldt0(sdtasdt0(xm,xn),sK1) = sdtpldt0(sK1,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2703]) ).
tcf(c_69119,plain,
sdtpldt0(sdtasdt0(xm,xn),sK0) = sdtpldt0(sK0,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2702]) ).
tcf(c_69120,plain,
sdtpldt0(sdtasdt0(xm,xn),xn) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2701]) ).
tcf(c_69121,plain,
sdtpldt0(sdtasdt0(xm,xn),xm) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2700]) ).
tcf(c_69122,plain,
sdtpldt0(sdtasdt0(xm,xn),xl) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2699]) ).
tcf(c_69123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xm,xn)),sdtasdt0(X0,sdtasdt0(xm,xn))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68944,c_79]) ).
tcf(c_69124,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xn),X1),sdtasdt0(sdtasdt0(xm,xn),X0)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68944,c_78]) ).
tcf(c_69125,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),X1),X0) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68944,c_95]) ).
tcf(c_69126,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xn),X1),X0) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68944,c_82]) ).
tcf(c_69127,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68944,c_152]) ).
tcf(c_69128,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xn),X0) = sdtasdt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68944,c_96]) ).
tcf(c_69129,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xn),X0) = sdtpldt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_68944,c_83]) ).
tcf(c_69130,plain,
sdtasdt0(sz00,sdtasdt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_68944,c_94]) ).
tcf(c_69131,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_68944,c_93]) ).
tcf(c_69132,plain,
sdtpldt0(sz00,sdtasdt0(xm,xn)) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_68944,c_81]) ).
tcf(c_69133,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_68944,c_80]) ).
tcf(c_69159,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68945,c_106]) ).
tcf(c_69160,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ doDivides0(sdtasdt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_68945,c_99]) ).
tcf(c_69161,plain,
( ( sdtasdt0(xn,sK3(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68945,c_102]) ).
tcf(c_69162,plain,
sdtasdt0(xn,sK3(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_69161,c_51,c_68944]) ).
tcf(c_69163,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69160,c_51,c_68944]) ).
tcf(c_69167,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xm,xn),xn)) = sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69159,c_51,c_68944]) ).
tcf(c_69170,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68946,c_109]) ).
tcf(c_69171,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68946,c_11962]) ).
tcf(c_69172,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_68946,c_8700]) ).
tcf(c_69174,plain,
( ( sdtasdt0(xm,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),xn) ),
inference(superposition,[status(thm)],[c_68946,c_110]) ).
tcf(c_69175,plain,
( ( sdtpldt0(xn,sK2(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68946,c_73]) ).
tcf(c_69176,plain,
sdtpldt0(xn,sK2(xn,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_69175,c_51,c_68944]) ).
tcf(c_69177,plain,
( ( sdtasdt0(xm,xn) = xn )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69174,c_51,c_68944]) ).
tcf(c_69180,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69170,c_51,c_68944]) ).
tcf(c_69184,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69171,c_51,c_68944]) ).
tcf(c_69191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_68661,c_89]) ).
tcf(c_69193,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_68661,c_27527]) ).
tcf(c_69194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_68661,c_18982]) ).
tcf(c_69195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_68661,c_18291]) ).
tcf(c_69196,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_68661,c_15630]) ).
tcf(c_69198,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_68661,c_91]) ).
tcf(c_69199,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( xm = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68661,c_5229]) ).
tcf(c_69200,plain,
( ( sK0 = sz00 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_68661,c_90]) ).
tcf(c_69201,plain,
( doDivides0(sK0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68661,c_142]) ).
tcf(c_69202,plain,
( aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68661,c_97]) ).
tcf(c_69203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_68661,c_87]) ).
tcf(c_69204,plain,
( sdtlseqdt0(sK0,sdtasdt0(xm,sK0))
| ( xm = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68661,c_85]) ).
tcf(c_69205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xm,sK0))
| ( sK0 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_68661,c_87]) ).
tcf(c_69206,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_68661,c_92]) ).
tcf(c_69207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,sK0))
| ( xm = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_68661,c_89]) ).
tcf(c_69208,plain,
aNaturalNumber0(sdtasdt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_69202,c_52,c_50]) ).
tcf(c_69209,plain,
doDivides0(sK0,sdtasdt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_69201,c_52,c_50]) ).
tcf(c_69210,plain,
sdtlseqdt0(sK0,sdtasdt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_69204,c_11841,c_52,c_50]) ).
tcf(c_69211,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69199,c_11841,c_52,c_50]) ).
tcf(c_69214,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(xm,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69200,c_11841,c_52,c_50]) ).
tcf(c_69217,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69206,c_11841,c_52,c_50]) ).
tcf(c_69221,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69198,c_52,c_50]) ).
tcf(c_69226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,sK0))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69207,c_11841,c_52,c_50]) ).
tcf(c_69231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xm,sK0))
| ( sK0 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69205,c_52,c_50]) ).
tcf(c_69237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69203,c_52,c_50]) ).
tcf(c_69243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtasdt0(X0,xm))
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69191,c_11841,c_52,c_50]) ).
tcf(c_69248,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69196,c_11841,c_52,c_50]) ).
tcf(c_69253,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69193,c_11841,c_52,c_50]) ).
tcf(c_69259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69195,c_52,c_50]) ).
tcf(c_69268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69194,c_11841,c_52,c_50]) ).
tcf(c_69358,plain,
sdtasdt0(sdtasdt0(xm,sK0),xm) = sdtasdt0(xm,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2776]) ).
tcf(c_69359,plain,
sdtasdt0(sdtasdt0(xm,sK0),xl) = sdtasdt0(xl,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2775]) ).
tcf(c_69360,plain,
sdtpldt0(sdtasdt0(xm,sK0),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2709]) ).
tcf(c_69361,plain,
sdtpldt0(sdtasdt0(xm,sK0),xq) = sdtpldt0(xq,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2705]) ).
tcf(c_69362,plain,
sdtpldt0(sdtasdt0(xm,sK0),xp) = sdtpldt0(xp,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2704]) ).
tcf(c_69363,plain,
sdtpldt0(sdtasdt0(xm,sK0),sK1) = sdtpldt0(sK1,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2703]) ).
tcf(c_69364,plain,
sdtpldt0(sdtasdt0(xm,sK0),sK0) = sdtpldt0(sK0,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2702]) ).
tcf(c_69365,plain,
sdtpldt0(sdtasdt0(xm,sK0),xn) = sdtpldt0(xn,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2701]) ).
tcf(c_69366,plain,
sdtpldt0(sdtasdt0(xm,sK0),xm) = sdtpldt0(xm,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2700]) ).
tcf(c_69367,plain,
sdtpldt0(sdtasdt0(xm,sK0),xl) = sdtpldt0(xl,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2699]) ).
tcf(c_69368,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xm,sK0)),sdtasdt0(X0,sdtasdt0(xm,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xm,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69208,c_79]) ).
tcf(c_69369,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sK0),X1),sdtasdt0(sdtasdt0(xm,sK0),X0)) = sdtasdt0(sdtasdt0(xm,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69208,c_78]) ).
tcf(c_69370,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sK0),X1),X0) = sdtasdt0(sdtasdt0(xm,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69208,c_95]) ).
tcf(c_69371,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sK0),X1),X0) = sdtpldt0(sdtasdt0(xm,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69208,c_82]) ).
tcf(c_69372,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sK0),X0),sdtasdt0(xm,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69208,c_152]) ).
tcf(c_69373,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sK0),X0) = sdtasdt0(X0,sdtasdt0(xm,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69208,c_96]) ).
tcf(c_69374,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sK0),X0) = sdtpldt0(X0,sdtasdt0(xm,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69208,c_83]) ).
tcf(c_69375,plain,
sdtasdt0(sz00,sdtasdt0(xm,sK0)) = sz00,
inference(superposition,[status(thm)],[c_69208,c_94]) ).
tcf(c_69376,plain,
sdtasdt0(sdtasdt0(xm,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_69208,c_93]) ).
tcf(c_69377,plain,
sdtpldt0(sz00,sdtasdt0(xm,sK0)) = sdtasdt0(xm,sK0),
inference(superposition,[status(thm)],[c_69208,c_81]) ).
tcf(c_69378,plain,
sdtpldt0(sdtasdt0(xm,sK0),sz00) = sdtasdt0(xm,sK0),
inference(superposition,[status(thm)],[c_69208,c_80]) ).
tcf(c_69475,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_108,c_68984]) ).
tcf(c_69487,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_108,c_69248]) ).
tcf(c_69488,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69487,c_103,c_69208]) ).
tcf(c_69493,plain,
( ~ aNaturalNumber0(sK3(xm,sz00))
| ( sK3(xm,sz00) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_15727,c_50390]) ).
tcf(c_69494,plain,
( ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xm,sz00)) ),
inference(renaming,[status(thm)],[c_69493]) ).
tcf(c_69499,plain,
( ( sK3(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,sz00) ),
inference(superposition,[status(thm)],[c_101,c_69494]) ).
tcf(c_69500,plain,
sK3(xm,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_69499,c_103,c_50,c_2904]) ).
tcf(c_69514,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15739,c_109]) ).
tcf(c_69515,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15739,c_11962]) ).
tcf(c_69516,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_15739,c_8700]) ).
tcf(c_69518,plain,
( ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(superposition,[status(thm)],[c_15739,c_110]) ).
tcf(c_69519,plain,
( ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15739,c_73]) ).
tcf(c_69520,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15739,c_5863]) ).
tcf(c_69521,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69515,c_62]) ).
tcf(c_69528,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69520,c_62]) ).
tcf(c_69536,plain,
( ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69519,c_62]) ).
tcf(c_69542,plain,
( ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69518,c_62]) ).
tcf(c_69549,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69514,c_62]) ).
tcf(c_69557,plain,
( ~ aNaturalNumber0(sK3(xp,sz00))
| ( sK3(xp,sz00) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_15745,c_54575]) ).
tcf(c_69558,plain,
( ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK3(xp,sz00)) ),
inference(renaming,[status(thm)],[c_69557]) ).
tcf(c_69563,plain,
( ( sK3(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(xp,sz00) ),
inference(superposition,[status(thm)],[c_101,c_69558]) ).
tcf(c_69564,plain,
sK3(xp,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_69563,c_59,c_103,c_2591]) ).
tcf(c_69566,plain,
sdtsldt0(sz00,xl) = sz00,
inference(global_subsumption_just,[status(thm)],[c_15751,c_103,c_49,c_58,c_2753,c_2901,c_11743]) ).
tcf(c_69572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_70]) ).
tcf(c_69574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_17825]) ).
tcf(c_69575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_17392]) ).
tcf(c_69576,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_14477]) ).
tcf(c_69582,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_145]) ).
tcf(c_69584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_70]) ).
tcf(c_69585,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_22436,c_76]) ).
tcf(c_69586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_22436,c_68]) ).
tcf(c_69587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_68]) ).
tcf(c_69589,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_22436,c_77]) ).
tcf(c_69590,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_51524]) ).
tcf(c_69591,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_49956]) ).
tcf(c_69592,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_47638]) ).
tcf(c_69593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_41879]) ).
tcf(c_69594,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_46832]) ).
tcf(c_69595,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_43963]) ).
tcf(c_69596,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_43470]) ).
tcf(c_69597,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_43085]) ).
tcf(c_69598,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_42039]) ).
tcf(c_69599,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_35146]) ).
tcf(c_69600,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_26041]) ).
tcf(c_69601,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_26044]) ).
tcf(c_69602,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_26052]) ).
tcf(c_69603,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_15930]) ).
tcf(c_69604,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_15792]) ).
tcf(c_69605,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_24215]) ).
tcf(c_69606,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_24215]) ).
tcf(c_69607,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_15931]) ).
tcf(c_69608,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_22436,c_24885]) ).
tcf(c_69609,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_15793]) ).
tcf(c_69610,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_22436,c_8652]) ).
tcf(c_69611,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22436,c_45030]) ).
tcf(c_69612,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_69582,c_103,c_22296]) ).
tcf(c_69613,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69589,c_103,c_22296]) ).
tcf(c_69617,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69585,c_103,c_22296]) ).
tcf(c_69621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69584,c_103,c_22296]) ).
tcf(c_69626,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69576,c_103,c_22296]) ).
tcf(c_69632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69587,c_103,c_22296]) ).
tcf(c_69637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69586,c_103,c_22296]) ).
tcf(c_69642,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69610,c_22296]) ).
tcf(c_69647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69574,c_103,c_22296]) ).
tcf(c_69655,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69609,c_22296]) ).
tcf(c_69661,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69607,c_22296]) ).
tcf(c_69667,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_69606,c_22436]) ).
tcf(c_69668,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69667,c_22296]) ).
tcf(c_69676,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69604,c_22296]) ).
tcf(c_69683,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69603,c_22296]) ).
tcf(c_69690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69575,c_103,c_22296]) ).
tcf(c_69705,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_69602,c_22436]) ).
tcf(c_69706,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69705,c_22296]) ).
tcf(c_69713,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_69601,c_22436]) ).
tcf(c_69714,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69713,c_22296]) ).
tcf(c_69721,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_69600,c_22436]) ).
tcf(c_69722,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69721,c_22296]) ).
tcf(c_69730,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_69594,c_22436]) ).
tcf(c_69731,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69730,c_22296]) ).
tcf(c_69738,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69597,c_22296]) ).
tcf(c_69746,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69596,c_22296]) ).
tcf(c_69754,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_69592,c_22436]) ).
tcf(c_69755,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69754,c_22296]) ).
tcf(c_69762,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69595,c_22296]) ).
tcf(c_69769,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_69598,c_22436]) ).
tcf(c_69770,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69769,c_22296]) ).
tcf(c_69778,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_69611,c_22436]) ).
tcf(c_69779,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69778,c_22296]) ).
tcf(c_69788,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_69591,c_22436]) ).
tcf(c_69789,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69788,c_22296]) ).
tcf(c_69797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_69593,c_22436]) ).
tcf(c_69798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69797,c_22296]) ).
tcf(c_69808,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(light_normalisation,[status(thm)],[c_69590,c_22436]) ).
tcf(c_69809,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69808,c_22296]) ).
tcf(c_69824,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xm,sK0),sK0)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69209,c_106]) ).
tcf(c_69825,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ doDivides0(sdtasdt0(xm,sK0),X0) ),
inference(superposition,[status(thm)],[c_69209,c_99]) ).
tcf(c_69826,plain,
( ( sdtasdt0(sK0,sK3(sK0,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69209,c_102]) ).
tcf(c_69827,plain,
sdtasdt0(sK0,sK3(sK0,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_69826,c_52,c_69208]) ).
tcf(c_69828,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xm,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69825,c_52,c_69208]) ).
tcf(c_69832,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xm,sK0),sK0)) = sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69824,c_52,c_69208]) ).
tcf(c_69875,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69210,c_109]) ).
tcf(c_69876,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69210,c_11962]) ).
tcf(c_69877,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_69210,c_8700]) ).
tcf(c_69879,plain,
( ( sdtasdt0(xm,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sK0) ),
inference(superposition,[status(thm)],[c_69210,c_110]) ).
tcf(c_69880,plain,
( ( sdtpldt0(sK0,sK2(sK0,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69210,c_73]) ).
tcf(c_69881,plain,
sdtpldt0(sK0,sK2(sK0,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_69880,c_52,c_69208]) ).
tcf(c_69882,plain,
( ( sdtasdt0(xm,sK0) = sK0 )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69879,c_52,c_69208]) ).
tcf(c_69885,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69875,c_52,c_69208]) ).
tcf(c_69894,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_69612,c_109]) ).
tcf(c_69898,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_69612,c_110]) ).
tcf(c_69899,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_69612,c_73]) ).
tcf(c_69900,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69894,c_103,c_22296]) ).
tcf(c_69904,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_69899,c_103,c_22296]) ).
tcf(c_69905,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_69898,c_22301,c_103,c_22296]) ).
tcf(c_69906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_68662,c_89]) ).
tcf(c_69908,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_68662,c_27527]) ).
tcf(c_69909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_68662,c_18982]) ).
tcf(c_69910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_68662,c_18291]) ).
tcf(c_69911,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_68662,c_15630]) ).
tcf(c_69913,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_68662,c_91]) ).
tcf(c_69914,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( xm = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68662,c_5229]) ).
tcf(c_69915,plain,
( ( sK1 = sz00 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_68662,c_90]) ).
tcf(c_69916,plain,
( doDivides0(sK1,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68662,c_142]) ).
tcf(c_69917,plain,
( aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68662,c_97]) ).
tcf(c_69918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_68662,c_87]) ).
tcf(c_69919,plain,
( sdtlseqdt0(sK1,sdtasdt0(xm,sK1))
| ( xm = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68662,c_85]) ).
tcf(c_69920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xm,sK1))
| ( sK1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_68662,c_87]) ).
tcf(c_69921,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_68662,c_92]) ).
tcf(c_69922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,sK1))
| ( xm = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_68662,c_89]) ).
tcf(c_69923,plain,
aNaturalNumber0(sdtasdt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_69917,c_55,c_50]) ).
tcf(c_69924,plain,
doDivides0(sK1,sdtasdt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_69916,c_55,c_50]) ).
tcf(c_69925,plain,
sdtlseqdt0(sK1,sdtasdt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_69919,c_11841,c_55,c_50]) ).
tcf(c_69926,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69914,c_11841,c_55,c_50]) ).
tcf(c_69929,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(xm,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69915,c_11841,c_55,c_50]) ).
tcf(c_69932,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69921,c_11841,c_55,c_50]) ).
tcf(c_69936,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69913,c_55,c_50]) ).
tcf(c_69941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,sK1))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69922,c_11841,c_55,c_50]) ).
tcf(c_69946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xm,sK1))
| ( sK1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69920,c_55,c_50]) ).
tcf(c_69952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69918,c_55,c_50]) ).
tcf(c_69958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtasdt0(X0,xm))
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69906,c_11841,c_55,c_50]) ).
tcf(c_69963,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69911,c_11841,c_55,c_50]) ).
tcf(c_69968,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69908,c_11841,c_55,c_50]) ).
tcf(c_69974,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69910,c_55,c_50]) ).
tcf(c_69983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69909,c_11841,c_55,c_50]) ).
tcf(c_69998,plain,
sdtasdt0(sdtasdt0(xm,sK1),xm) = sdtasdt0(xm,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2776]) ).
tcf(c_69999,plain,
sdtasdt0(sdtasdt0(xm,sK1),xl) = sdtasdt0(xl,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2775]) ).
tcf(c_70000,plain,
sdtpldt0(sdtasdt0(xm,sK1),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2709]) ).
tcf(c_70001,plain,
sdtpldt0(sdtasdt0(xm,sK1),xq) = sdtpldt0(xq,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2705]) ).
tcf(c_70002,plain,
sdtpldt0(sdtasdt0(xm,sK1),xp) = sdtpldt0(xp,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2704]) ).
tcf(c_70003,plain,
sdtpldt0(sdtasdt0(xm,sK1),sK1) = sdtpldt0(sK1,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2703]) ).
tcf(c_70004,plain,
sdtpldt0(sdtasdt0(xm,sK1),sK0) = sdtpldt0(sK0,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2702]) ).
tcf(c_70005,plain,
sdtpldt0(sdtasdt0(xm,sK1),xn) = sdtpldt0(xn,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2701]) ).
tcf(c_70006,plain,
sdtpldt0(sdtasdt0(xm,sK1),xm) = sdtpldt0(xm,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2700]) ).
tcf(c_70007,plain,
sdtpldt0(sdtasdt0(xm,sK1),xl) = sdtpldt0(xl,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2699]) ).
tcf(c_70008,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xm,sK1)),sdtasdt0(X0,sdtasdt0(xm,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xm,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69923,c_79]) ).
tcf(c_70009,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sK1),X1),sdtasdt0(sdtasdt0(xm,sK1),X0)) = sdtasdt0(sdtasdt0(xm,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69923,c_78]) ).
tcf(c_70010,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sK1),X1),X0) = sdtasdt0(sdtasdt0(xm,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69923,c_95]) ).
tcf(c_70011,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sK1),X1),X0) = sdtpldt0(sdtasdt0(xm,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69923,c_82]) ).
tcf(c_70012,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sK1),X0),sdtasdt0(xm,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69923,c_152]) ).
tcf(c_70013,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sK1),X0) = sdtasdt0(X0,sdtasdt0(xm,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69923,c_96]) ).
tcf(c_70014,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sK1),X0) = sdtpldt0(X0,sdtasdt0(xm,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69923,c_83]) ).
tcf(c_70015,plain,
sdtasdt0(sz00,sdtasdt0(xm,sK1)) = sz00,
inference(superposition,[status(thm)],[c_69923,c_94]) ).
tcf(c_70016,plain,
sdtasdt0(sdtasdt0(xm,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_69923,c_93]) ).
tcf(c_70017,plain,
sdtpldt0(sz00,sdtasdt0(xm,sK1)) = sdtasdt0(xm,sK1),
inference(superposition,[status(thm)],[c_69923,c_81]) ).
tcf(c_70018,plain,
sdtpldt0(sdtasdt0(xm,sK1),sz00) = sdtasdt0(xm,sK1),
inference(superposition,[status(thm)],[c_69923,c_80]) ).
tcf(c_70044,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xm,sK1),sK1)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69924,c_106]) ).
tcf(c_70045,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ doDivides0(sdtasdt0(xm,sK1),X0) ),
inference(superposition,[status(thm)],[c_69924,c_99]) ).
tcf(c_70046,plain,
( ( sdtasdt0(sK1,sK3(sK1,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69924,c_102]) ).
tcf(c_70047,plain,
sdtasdt0(sK1,sK3(sK1,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_70046,c_55,c_69923]) ).
tcf(c_70048,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xm,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70045,c_55,c_69923]) ).
tcf(c_70052,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xm,sK1),sK1)) = sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70044,c_55,c_69923]) ).
tcf(c_70105,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_108,c_69963]) ).
tcf(c_70106,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70105,c_103,c_69923]) ).
tcf(c_70111,plain,
sdtsldt0(sz00,xp) = sz00,
inference(global_subsumption_just,[status(thm)],[c_16883,c_11330]) ).
tcf(c_70129,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_109]) ).
tcf(c_70130,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_11962]) ).
tcf(c_70131,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_8700]) ).
tcf(c_70133,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_110]) ).
tcf(c_70134,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_73]) ).
tcf(c_70136,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_3985]) ).
tcf(c_70142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_10332]) ).
tcf(c_70155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_41840]) ).
tcf(c_70157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_45030]) ).
tcf(c_70159,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_109]) ).
tcf(c_70160,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_11962]) ).
tcf(c_70161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_8700]) ).
tcf(c_70162,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_3979]) ).
tcf(c_70163,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_110]) ).
tcf(c_70164,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_73]) ).
tcf(c_70168,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_3985]) ).
tcf(c_70180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_10524]) ).
tcf(c_70182,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_10332]) ).
tcf(c_70196,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_12182]) ).
tcf(c_70199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_41879]) ).
tcf(c_70200,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_26041]) ).
tcf(c_70201,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_26044]) ).
tcf(c_70203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_11984,c_10288]) ).
tcf(c_70208,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_41840]) ).
tcf(c_70210,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_52560]) ).
tcf(c_70211,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_26210]) ).
tcf(c_70212,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_11984,c_26176]) ).
tcf(c_70213,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_25987]) ).
tcf(c_70214,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_20232]) ).
tcf(c_70215,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_19480]) ).
tcf(c_70216,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_19422]) ).
tcf(c_70217,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_19395]) ).
tcf(c_70218,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_24035]) ).
tcf(c_70219,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_17825]) ).
tcf(c_70220,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_17392]) ).
tcf(c_70221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_14477]) ).
tcf(c_70222,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_27527]) ).
tcf(c_70223,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_18982]) ).
tcf(c_70224,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_18291]) ).
tcf(c_70225,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_11984,c_15630]) ).
tcf(c_70226,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_11984,c_64488]) ).
tcf(c_70227,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_11984,c_28598]) ).
tcf(c_70228,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_11984,c_16765]) ).
tcf(c_70229,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_11984,c_17353]) ).
tcf(c_70232,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_11984,c_19367]) ).
tcf(c_70233,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_11984,c_20184]) ).
tcf(c_70236,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_52045]) ).
tcf(c_70237,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_50432]) ).
tcf(c_70238,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_43884]) ).
tcf(c_70239,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_39354]) ).
tcf(c_70242,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_11984,c_52813]) ).
tcf(c_70243,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_11984,c_52685]) ).
tcf(c_70245,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_30160]) ).
tcf(c_70247,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_11984,c_23267]) ).
tcf(c_70248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_45030]) ).
tcf(c_70250,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_11984,c_25300]) ).
tcf(c_70253,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_27950]) ).
tcf(c_70256,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11984,c_30244]) ).
tcf(c_70257,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_11984,c_35118]) ).
tcf(c_70258,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_11984,c_35089]) ).
tcf(c_70259,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_11984,c_40412]) ).
tcf(c_70260,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_11984,c_40382]) ).
tcf(c_70261,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11984,c_65702]) ).
tcf(c_70262,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11984,c_31388]) ).
tcf(c_70263,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_11984,c_52778]) ).
tcf(c_70264,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_11984,c_51464]) ).
tcf(c_70265,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_11984,c_51430]) ).
tcf(c_70266,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_11984,c_50740]) ).
tcf(c_70271,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_11984,c_44832]) ).
tcf(c_70281,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_11984,c_68984]) ).
tcf(c_70282,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_11984,c_69248]) ).
tcf(c_70283,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_11984,c_69963]) ).
tcf(c_70284,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_109]) ).
tcf(c_70285,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_11962]) ).
tcf(c_70288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_11984,c_110]) ).
tcf(c_70289,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_73]) ).
tcf(c_70290,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_3965]) ).
tcf(c_70294,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_5863]) ).
tcf(c_70295,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_11984,c_45702]) ).
tcf(c_70296,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_11984,c_26045]) ).
tcf(c_70297,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_8679]) ).
tcf(c_70298,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_11984,c_20184]) ).
tcf(c_70303,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sz00)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(equality_factoring,[status(thm)],[c_11984]) ).
tcf(c_70304,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(equality_factoring,[status(thm)],[c_11984]) ).
tcf(c_70309,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sz00)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70303,c_103]) ).
tcf(c_70368,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70290,c_59]) ).
tcf(c_70379,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70168,c_62]) ).
tcf(c_70429,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70182,c_103]) ).
tcf(c_70439,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70134,c_103]) ).
tcf(c_70447,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70133,c_103]) ).
tcf(c_70458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70131,c_103]) ).
tcf(c_70467,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70180,c_103]) ).
tcf(c_70475,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70129,c_103]) ).
tcf(c_70490,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70218,c_103]) ).
tcf(c_70512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70222,c_103]) ).
tcf(c_70525,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70227,c_103]) ).
tcf(c_70544,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70245,c_103]) ).
tcf(c_70564,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70226,c_103]) ).
tcf(c_70589,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70216,c_103]) ).
tcf(c_70598,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70201,c_103]) ).
tcf(c_70610,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70271,c_103]) ).
tcf(c_70632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70200,c_103]) ).
tcf(c_70645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70155,c_103]) ).
tcf(c_70679,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70239,c_103]) ).
tcf(c_70698,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70157,c_103]) ).
tcf(c_70713,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70238,c_103]) ).
tcf(c_70725,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70264,c_103]) ).
tcf(c_70736,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70199,c_103]) ).
tcf(c_70751,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70210,c_103]) ).
tcf(c_70761,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70237,c_103]) ).
tcf(c_70775,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70236,c_103]) ).
tcf(c_70790,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70263,c_103]) ).
tcf(c_70802,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70243,c_103]) ).
tcf(c_70816,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70242,c_103]) ).
tcf(c_70935,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_70297,c_8631,c_70297]) ).
tcf(c_70951,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_109]) ).
tcf(c_70952,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_11962]) ).
tcf(c_70953,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70935,c_8700]) ).
tcf(c_70954,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_3979]) ).
tcf(c_70955,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_70935,c_110]) ).
tcf(c_70956,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_73]) ).
tcf(c_70963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_41840]) ).
tcf(c_70964,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_8672]) ).
tcf(c_70966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_109]) ).
tcf(c_70967,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_11962]) ).
tcf(c_70968,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70935,c_8700]) ).
tcf(c_70969,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_3979]) ).
tcf(c_70970,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70935,c_110]) ).
tcf(c_70971,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_73]) ).
tcf(c_70972,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_12182]) ).
tcf(c_70973,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70935,c_8702]) ).
tcf(c_70974,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_5910]) ).
tcf(c_70975,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_47638]) ).
tcf(c_70976,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_45030]) ).
tcf(c_71239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22437,c_70]) ).
tcf(c_71244,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22437,c_5155]) ).
tcf(c_71249,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22437,c_145]) ).
tcf(c_71251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_22437,c_70]) ).
tcf(c_71252,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_22437,c_76]) ).
tcf(c_71253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22437,c_68]) ).
tcf(c_71254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22437,c_68]) ).
tcf(c_71256,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_22437,c_77]) ).
tcf(c_71257,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_71249,c_103,c_22296]) ).
tcf(c_71258,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71244,c_103,c_22296]) ).
tcf(c_71261,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71256,c_103,c_22296]) ).
tcf(c_71265,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71252,c_103,c_22296]) ).
tcf(c_71270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71253,c_103,c_22296]) ).
tcf(c_71275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71251,c_103,c_22296]) ).
tcf(c_71280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71239,c_103,c_22296]) ).
tcf(c_71285,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69925,c_109]) ).
tcf(c_71286,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69925,c_11962]) ).
tcf(c_71287,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_69925,c_8700]) ).
tcf(c_71289,plain,
( ( sdtasdt0(xm,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sK1) ),
inference(superposition,[status(thm)],[c_69925,c_110]) ).
tcf(c_71290,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69925,c_73]) ).
tcf(c_71291,plain,
sdtpldt0(sK1,sK2(sK1,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_71290,c_55,c_69923]) ).
tcf(c_71292,plain,
( ( sdtasdt0(xm,sK1) = sK1 )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71289,c_55,c_69923]) ).
tcf(c_71295,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71285,c_55,c_69923]) ).
tcf(c_71302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_68663,c_89]) ).
tcf(c_71305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_68663,c_18982]) ).
tcf(c_71306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_68663,c_18291]) ).
tcf(c_71307,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_68663,c_15630]) ).
tcf(c_71309,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_68663,c_91]) ).
tcf(c_71311,plain,
( ( sz00 = xp )
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_68663,c_90]) ).
tcf(c_71312,plain,
( doDivides0(xp,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68663,c_142]) ).
tcf(c_71313,plain,
( aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68663,c_97]) ).
tcf(c_71314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_68663,c_87]) ).
tcf(c_71315,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xp))
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68663,c_85]) ).
tcf(c_71316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xm,xp))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_68663,c_87]) ).
tcf(c_71317,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_68663,c_92]) ).
tcf(c_71318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xp))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_68663,c_89]) ).
tcf(c_71319,plain,
aNaturalNumber0(sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_71313,c_59,c_50]) ).
tcf(c_71320,plain,
doDivides0(xp,sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_71312,c_59,c_50]) ).
tcf(c_71321,plain,
sdtlseqdt0(xp,sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_71315,c_11841,c_59,c_50]) ).
tcf(c_71322,plain,
( ( sz00 = xp )
| ( sdtasdt0(xm,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71311,c_11841,c_59,c_50]) ).
tcf(c_71325,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71317,c_11841,c_59,c_50]) ).
tcf(c_71329,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71309,c_59,c_50]) ).
tcf(c_71334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71318,c_11841,c_59,c_50]) ).
tcf(c_71339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xm,xp))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71316,c_59,c_50]) ).
tcf(c_71345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71314,c_59,c_50]) ).
tcf(c_71351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(X0,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71302,c_11841,c_59,c_50]) ).
tcf(c_71356,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71307,c_11841,c_59,c_50]) ).
tcf(c_71361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71306,c_59,c_50]) ).
tcf(c_71370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71305,c_11841,c_59,c_50]) ).
tcf(c_71424,plain,
sdtasdt0(sdtasdt0(xm,xp),xm) = sdtasdt0(xm,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2776]) ).
tcf(c_71425,plain,
sdtasdt0(sdtasdt0(xm,xp),xl) = sdtasdt0(xl,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2775]) ).
tcf(c_71426,plain,
sdtpldt0(sdtasdt0(xm,xp),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2709]) ).
tcf(c_71427,plain,
sdtpldt0(sdtasdt0(xm,xp),xq) = sdtpldt0(xq,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2705]) ).
tcf(c_71428,plain,
sdtpldt0(sdtasdt0(xm,xp),xp) = sdtpldt0(xp,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2704]) ).
tcf(c_71429,plain,
sdtpldt0(sdtasdt0(xm,xp),sK1) = sdtpldt0(sK1,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2703]) ).
tcf(c_71430,plain,
sdtpldt0(sdtasdt0(xm,xp),sK0) = sdtpldt0(sK0,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2702]) ).
tcf(c_71431,plain,
sdtpldt0(sdtasdt0(xm,xp),xn) = sdtpldt0(xn,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2701]) ).
tcf(c_71432,plain,
sdtpldt0(sdtasdt0(xm,xp),xm) = sdtpldt0(xm,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2700]) ).
tcf(c_71433,plain,
sdtpldt0(sdtasdt0(xm,xp),xl) = sdtpldt0(xl,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2699]) ).
tcf(c_71434,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xm,xp)),sdtasdt0(X0,sdtasdt0(xm,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xm,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71319,c_79]) ).
tcf(c_71435,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xp),X1),sdtasdt0(sdtasdt0(xm,xp),X0)) = sdtasdt0(sdtasdt0(xm,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71319,c_78]) ).
tcf(c_71436,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xp),X1),X0) = sdtasdt0(sdtasdt0(xm,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71319,c_95]) ).
tcf(c_71437,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xp),X1),X0) = sdtpldt0(sdtasdt0(xm,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71319,c_82]) ).
tcf(c_71438,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xp),X0),sdtasdt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71319,c_152]) ).
tcf(c_71439,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xp),X0) = sdtasdt0(X0,sdtasdt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71319,c_96]) ).
tcf(c_71440,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xp),X0) = sdtpldt0(X0,sdtasdt0(xm,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71319,c_83]) ).
tcf(c_71441,plain,
sdtasdt0(sz00,sdtasdt0(xm,xp)) = sz00,
inference(superposition,[status(thm)],[c_71319,c_94]) ).
tcf(c_71442,plain,
sdtasdt0(sdtasdt0(xm,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_71319,c_93]) ).
tcf(c_71443,plain,
sdtpldt0(sz00,sdtasdt0(xm,xp)) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_71319,c_81]) ).
tcf(c_71444,plain,
sdtpldt0(sdtasdt0(xm,xp),sz00) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_71319,c_80]) ).
tcf(c_71510,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xp),xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71320,c_106]) ).
tcf(c_71511,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ doDivides0(sdtasdt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_71320,c_99]) ).
tcf(c_71512,plain,
( ( sdtasdt0(xp,sK3(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71320,c_102]) ).
tcf(c_71513,plain,
sdtasdt0(xp,sK3(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_71512,c_59,c_71319]) ).
tcf(c_71514,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71511,c_59,c_71319]) ).
tcf(c_71518,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xp),xp)) = sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71510,c_59,c_71319]) ).
tcf(c_71521,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71321,c_109]) ).
tcf(c_71522,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71321,c_11962]) ).
tcf(c_71523,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_71321,c_8700]) ).
tcf(c_71525,plain,
( ( sdtasdt0(xm,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),xp) ),
inference(superposition,[status(thm)],[c_71321,c_110]) ).
tcf(c_71526,plain,
( ( sdtpldt0(xp,sK2(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71321,c_73]) ).
tcf(c_71527,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = xp )
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71321,c_3965]) ).
tcf(c_71528,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71527,c_71319]) ).
tcf(c_71531,plain,
sdtpldt0(xp,sK2(xp,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_71526,c_59,c_71319]) ).
tcf(c_71532,plain,
( ( sdtasdt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71525,c_59,c_71319]) ).
tcf(c_71535,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71521,c_59,c_71319]) ).
tcf(c_71539,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71522,c_59,c_71319]) ).
tcf(c_71578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_68664,c_89]) ).
tcf(c_71581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( xm = sz00 )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_68664,c_18982]) ).
tcf(c_71582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_68664,c_18291]) ).
tcf(c_71583,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_68664,c_15630]) ).
tcf(c_71585,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_68664,c_91]) ).
tcf(c_71587,plain,
( ( sz00 = xq )
| ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_68664,c_90]) ).
tcf(c_71588,plain,
( doDivides0(xq,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68664,c_142]) ).
tcf(c_71589,plain,
( aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68664,c_97]) ).
tcf(c_71590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_68664,c_87]) ).
tcf(c_71591,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xq))
| ( xm = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_68664,c_85]) ).
tcf(c_71592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xm,xq))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_68664,c_87]) ).
tcf(c_71593,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_68664,c_92]) ).
tcf(c_71594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xq))
| ( xm = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_68664,c_89]) ).
tcf(c_71595,plain,
aNaturalNumber0(sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_71589,c_62,c_50]) ).
tcf(c_71596,plain,
doDivides0(xq,sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_71588,c_62,c_50]) ).
tcf(c_71597,plain,
sdtlseqdt0(xq,sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_71591,c_11841,c_62,c_50]) ).
tcf(c_71598,plain,
( ( sz00 = xq )
| ( sdtasdt0(xm,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71587,c_11841,c_62,c_50]) ).
tcf(c_71601,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71593,c_11841,c_62,c_50]) ).
tcf(c_71605,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71585,c_62,c_50]) ).
tcf(c_71610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71594,c_11841,c_62,c_50]) ).
tcf(c_71615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xm,xq))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71592,c_62,c_50]) ).
tcf(c_71621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71590,c_62,c_50]) ).
tcf(c_71627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(X0,xm))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71578,c_11841,c_62,c_50]) ).
tcf(c_71632,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71583,c_11841,c_62,c_50]) ).
tcf(c_71637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71582,c_62,c_50]) ).
tcf(c_71646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71581,c_11841,c_62,c_50]) ).
tcf(c_71700,plain,
sdtasdt0(sdtasdt0(xm,xq),xm) = sdtasdt0(xm,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2776]) ).
tcf(c_71701,plain,
sdtasdt0(sdtasdt0(xm,xq),xl) = sdtasdt0(xl,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2775]) ).
tcf(c_71702,plain,
sdtpldt0(sdtasdt0(xm,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2709]) ).
tcf(c_71703,plain,
sdtpldt0(sdtasdt0(xm,xq),xq) = sdtpldt0(xq,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2705]) ).
tcf(c_71704,plain,
sdtpldt0(sdtasdt0(xm,xq),xp) = sdtpldt0(xp,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2704]) ).
tcf(c_71705,plain,
sdtpldt0(sdtasdt0(xm,xq),sK1) = sdtpldt0(sK1,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2703]) ).
tcf(c_71706,plain,
sdtpldt0(sdtasdt0(xm,xq),sK0) = sdtpldt0(sK0,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2702]) ).
tcf(c_71707,plain,
sdtpldt0(sdtasdt0(xm,xq),xn) = sdtpldt0(xn,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2701]) ).
tcf(c_71708,plain,
sdtpldt0(sdtasdt0(xm,xq),xm) = sdtpldt0(xm,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2700]) ).
tcf(c_71709,plain,
sdtpldt0(sdtasdt0(xm,xq),xl) = sdtpldt0(xl,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2699]) ).
tcf(c_71710,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xm,xq)),sdtasdt0(X0,sdtasdt0(xm,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xm,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71595,c_79]) ).
tcf(c_71711,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xq),X1),sdtasdt0(sdtasdt0(xm,xq),X0)) = sdtasdt0(sdtasdt0(xm,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71595,c_78]) ).
tcf(c_71712,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xq),X1),X0) = sdtasdt0(sdtasdt0(xm,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71595,c_95]) ).
tcf(c_71713,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xq),X1),X0) = sdtpldt0(sdtasdt0(xm,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71595,c_82]) ).
tcf(c_71714,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xq),X0),sdtasdt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71595,c_152]) ).
tcf(c_71715,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xq),X0) = sdtasdt0(X0,sdtasdt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71595,c_96]) ).
tcf(c_71716,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xq),X0) = sdtpldt0(X0,sdtasdt0(xm,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71595,c_83]) ).
tcf(c_71717,plain,
sdtasdt0(sz00,sdtasdt0(xm,xq)) = sz00,
inference(superposition,[status(thm)],[c_71595,c_94]) ).
tcf(c_71718,plain,
sdtasdt0(sdtasdt0(xm,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_71595,c_93]) ).
tcf(c_71719,plain,
sdtpldt0(sz00,sdtasdt0(xm,xq)) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_71595,c_81]) ).
tcf(c_71720,plain,
sdtpldt0(sdtasdt0(xm,xq),sz00) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_71595,c_80]) ).
tcf(c_71896,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xm,xq),xq)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71596,c_106]) ).
tcf(c_71897,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ doDivides0(sdtasdt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_71596,c_99]) ).
tcf(c_71898,plain,
( ( sdtasdt0(xq,sK3(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71596,c_102]) ).
tcf(c_71899,plain,
sdtasdt0(xq,sK3(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_71898,c_62,c_71595]) ).
tcf(c_71900,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71897,c_62,c_71595]) ).
tcf(c_71904,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xm,xq),xq)) = sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71896,c_62,c_71595]) ).
tcf(c_71907,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(X0)
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_70968,c_8631,c_70296]) ).
tcf(c_71908,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_71907]) ).
tcf(c_71926,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_71908]) ).
tcf(c_71928,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_71908]) ).
tcf(c_71929,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71928,c_103]) ).
tcf(c_71938,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71926,c_103]) ).
tcf(c_71974,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sz00))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_70964]) ).
tcf(c_71983,plain,
( sdtlseqdt0(sz00,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_70964]) ).
tcf(c_71984,plain,
( sdtlseqdt0(sz00,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_70964]) ).
tcf(c_71985,plain,
( sdtlseqdt0(sz00,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_70964]) ).
tcf(c_71986,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_70964]) ).
tcf(c_71987,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_70964]) ).
tcf(c_71988,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_70964]) ).
tcf(c_71989,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xq))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_70964]) ).
tcf(c_71990,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_70964]) ).
tcf(c_71998,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_70964]) ).
tcf(c_72000,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_70964]) ).
tcf(c_72002,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_70964]) ).
tcf(c_72003,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_70964]) ).
tcf(c_72021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_109]) ).
tcf(c_72022,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_11962]) ).
tcf(c_72023,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_8700]) ).
tcf(c_72024,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_3979]) ).
tcf(c_72025,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_70964,c_110]) ).
tcf(c_72026,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_73]) ).
tcf(c_72027,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_5863]) ).
tcf(c_72030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_109]) ).
tcf(c_72031,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_11962]) ).
tcf(c_72032,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70964,c_8700]) ).
tcf(c_72033,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_3979]) ).
tcf(c_72034,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70964,c_110]) ).
tcf(c_72035,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_73]) ).
tcf(c_72036,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_12182]) ).
tcf(c_72037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70964,c_8702]) ).
tcf(c_72038,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_5910]) ).
tcf(c_72039,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_47638]) ).
tcf(c_72040,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_45030]) ).
tcf(c_72392,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(X0)
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_72032,c_8672,c_71908]) ).
tcf(c_72393,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_72392]) ).
tcf(c_72413,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_72393]) ).
tcf(c_72415,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_72393]) ).
tcf(c_72416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72415,c_103]) ).
tcf(c_72426,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72413,c_103]) ).
tcf(c_72480,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_70298,c_8631,c_11891,c_19480]) ).
tcf(c_72481,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_72480]) ).
tcf(c_72499,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_72481]) ).
tcf(c_72501,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_72481]) ).
tcf(c_72502,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_72481]) ).
tcf(c_72503,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72501,c_103]) ).
tcf(c_72512,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_72502,c_2465]) ).
tcf(c_72513,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72512,c_103]) ).
tcf(c_72523,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72499,c_103]) ).
tcf(c_72536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22474,c_70]) ).
tcf(c_72548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22474,c_70]) ).
tcf(c_72549,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_22474,c_76]) ).
tcf(c_72550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(superposition,[status(thm)],[c_22474,c_68]) ).
tcf(c_72551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22474,c_68]) ).
tcf(c_72552,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_22474,c_98]) ).
tcf(c_72553,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_22474,c_77]) ).
tcf(c_72554,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72553,c_14856]) ).
tcf(c_72559,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72552,c_14856]) ).
tcf(c_72565,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72549,c_14856]) ).
tcf(c_72570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72548,c_14856]) ).
tcf(c_72576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72536,c_14856]) ).
tcf(c_72582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72551,c_14856]) ).
tcf(c_72588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72550,c_14856]) ).
tcf(c_72600,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71597,c_109]) ).
tcf(c_72601,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71597,c_11962]) ).
tcf(c_72602,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_71597,c_8700]) ).
tcf(c_72604,plain,
( ( sdtasdt0(xm,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),xq) ),
inference(superposition,[status(thm)],[c_71597,c_110]) ).
tcf(c_72605,plain,
( ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71597,c_73]) ).
tcf(c_72606,plain,
sdtpldt0(xq,sK2(xq,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_72605,c_62,c_71595]) ).
tcf(c_72607,plain,
( ( sdtasdt0(xm,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72604,c_62,c_71595]) ).
tcf(c_72610,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72600,c_62,c_71595]) ).
tcf(c_72614,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72601,c_62,c_71595]) ).
tcf(c_72699,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69130,c_89]) ).
tcf(c_72702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69130,c_18982]) ).
tcf(c_72704,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69130,c_15630]) ).
tcf(c_72714,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(X0,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_69130,c_92]) ).
tcf(c_72715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69130,c_89]) ).
tcf(c_72716,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72714,c_103,c_68944]) ).
tcf(c_72721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72715,c_103,c_68944]) ).
tcf(c_72727,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72699,c_103,c_68944]) ).
tcf(c_72733,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72704,c_103,c_2614,c_68944]) ).
tcf(c_72738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72702,c_103,c_2614,c_68944]) ).
tcf(c_72750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69131,c_18291]) ).
tcf(c_72753,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_69131,c_91]) ).
tcf(c_72756,plain,
( doDivides0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69131,c_142]) ).
tcf(c_72758,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69131,c_87]) ).
tcf(c_72760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69131,c_87]) ).
tcf(c_72763,plain,
doDivides0(sdtasdt0(xm,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_72756,c_103,c_68944]) ).
tcf(c_72764,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72753,c_103,c_68944]) ).
tcf(c_72769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72760,c_103,c_68944]) ).
tcf(c_72775,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72758,c_103,c_68944]) ).
tcf(c_72781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72750,c_103,c_2614,c_68944]) ).
tcf(c_72789,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(sz00,sdtasdt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_72763,c_106]) ).
tcf(c_72790,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_72763,c_99]) ).
tcf(c_72791,plain,
( ( sdtasdt0(sdtasdt0(xm,xn),sK3(sdtasdt0(xm,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_72763,c_102]) ).
tcf(c_72792,plain,
sdtasdt0(sdtasdt0(xm,xn),sK3(sdtasdt0(xm,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_72791,c_103,c_68944]) ).
tcf(c_72793,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72790,c_103,c_68944]) ).
tcf(c_72797,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(sz00,sdtasdt0(xm,xn))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72789,c_103,c_68944]) ).
tcf(c_72804,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68947,c_109]) ).
tcf(c_72805,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68947,c_11962]) ).
tcf(c_72806,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_68947,c_8700]) ).
tcf(c_72808,plain,
( sdtlseqdt0(xn,xp)
| ( sdtasdt0(xm,xn) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),xq) ),
inference(superposition,[status(thm)],[c_68947,c_110]) ).
tcf(c_72809,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_68947,c_73]) ).
tcf(c_72810,plain,
( sdtlseqdt0(xn,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72809,c_62,c_68944]) ).
tcf(c_72813,plain,
( sdtlseqdt0(xn,xp)
| ( sdtasdt0(xm,xn) = xq )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72808,c_62,c_68944]) ).
tcf(c_72817,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72804,c_62,c_68944]) ).
tcf(c_72822,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72805,c_62,c_68944]) ).
tcf(c_72834,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69211,c_109]) ).
tcf(c_72835,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69211,c_11962]) ).
tcf(c_72836,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_69211,c_8700]) ).
tcf(c_72838,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtasdt0(xm,sK0) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),xq) ),
inference(superposition,[status(thm)],[c_69211,c_110]) ).
tcf(c_72839,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69211,c_73]) ).
tcf(c_72840,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72839,c_62,c_69208]) ).
tcf(c_72843,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtasdt0(xm,sK0) = xq )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72838,c_62,c_69208]) ).
tcf(c_72847,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72834,c_62,c_69208]) ).
tcf(c_72852,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72835,c_62,c_69208]) ).
tcf(c_72900,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69375,c_89]) ).
tcf(c_72903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69375,c_18982]) ).
tcf(c_72905,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69375,c_15630]) ).
tcf(c_72915,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ( sdtasdt0(X0,sdtasdt0(xm,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_69375,c_92]) ).
tcf(c_72916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69375,c_89]) ).
tcf(c_72917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72915,c_103,c_69208]) ).
tcf(c_72922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72916,c_103,c_69208]) ).
tcf(c_72928,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72900,c_103,c_69208]) ).
tcf(c_72934,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72905,c_103,c_2614,c_69208]) ).
tcf(c_72939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72903,c_103,c_2614,c_69208]) ).
tcf(c_72951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69376,c_18291]) ).
tcf(c_72954,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ( sdtasdt0(sdtasdt0(xm,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_69376,c_91]) ).
tcf(c_72957,plain,
( doDivides0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69376,c_142]) ).
tcf(c_72959,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69376,c_87]) ).
tcf(c_72961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69376,c_87]) ).
tcf(c_72964,plain,
doDivides0(sdtasdt0(xm,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_72957,c_103,c_69208]) ).
tcf(c_72965,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72954,c_103,c_69208]) ).
tcf(c_72970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72961,c_103,c_69208]) ).
tcf(c_72976,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72959,c_103,c_69208]) ).
tcf(c_72982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72951,c_103,c_2614,c_69208]) ).
tcf(c_72999,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_71356]) ).
tcf(c_73001,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_108,c_71356]) ).
tcf(c_73003,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72999,c_103,c_71319]) ).
tcf(c_73018,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_11984,c_71632]) ).
tcf(c_73020,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_108,c_71632]) ).
tcf(c_73022,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73018,c_103,c_71595]) ).
tcf(c_73034,plain,
( ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xm) = sK2(xq,xp) )
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_65773,c_61221,c_65774,c_65773]) ).
tcf(c_73035,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xm))
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(renaming,[status(thm)],[c_73034]) ).
tcf(c_73044,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xm))
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_73035,c_109]) ).
tcf(c_73045,plain,
( sdtlseqdt0(sz00,sK2(xq,xm))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73035,c_11962]) ).
tcf(c_73047,plain,
( sdtlseqdt0(xq,sK2(xq,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73035,c_3979]) ).
tcf(c_73048,plain,
( ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_73035,c_110]) ).
tcf(c_73049,plain,
( ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(xq,xm))) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73035,c_73]) ).
tcf(c_73050,plain,
( sdtlseqdt0(sz00,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73035,c_12182]) ).
tcf(c_73052,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(xq,xm)))
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73035,c_5910]) ).
tcf(c_73053,plain,
( sdtlseqdt0(xp,xm)
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(light_normalisation,[status(thm)],[c_73052,c_65673]) ).
tcf(c_73100,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ( sdtpldt0(sdtpldt0(X0,X1),sK2(sdtpldt0(X0,X1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_13871]) ).
tcf(c_73101,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(X0,X1))) = sK2(X0,X1) )
| ( sdtpldt0(sK2(X0,X1),sK2(sK2(X0,X1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_13871]) ).
tcf(c_73102,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ( sdtpldt0(sdtasdt0(X0,X1),sK2(sdtasdt0(X0,X1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_13871]) ).
tcf(c_73103,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sK3(X0,X1))) = sK3(X0,X1) )
| ( sdtpldt0(sK3(X0,X1),sK2(sK3(X0,X1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_13871]) ).
tcf(c_73105,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ( sdtpldt0(sdtsldt0(X1,X0),sK2(sdtsldt0(X1,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_13871]) ).
tcf(c_73117,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtpldt0(xl,sdtpldt0(xl,sK0)) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_23228,c_13871]) ).
tcf(c_73118,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtpldt0(xl,sdtpldt0(xl,sK1)) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_25261,c_13871]) ).
tcf(c_73121,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_27911,c_13871]) ).
tcf(c_73124,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_30205,c_13871]) ).
tcf(c_73132,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_54334,c_13871]) ).
tcf(c_73135,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_60396,c_13871]) ).
tcf(c_73138,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_68298,c_13871]) ).
tcf(c_73139,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_68944,c_13871]) ).
tcf(c_73140,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0) )
| ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_69208,c_13871]) ).
tcf(c_73141,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1) )
| ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_69923,c_13871]) ).
tcf(c_73142,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ( sdtpldt0(sdtasdt0(xm,xp),sK2(sdtasdt0(xm,xp),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_71319,c_13871]) ).
tcf(c_73143,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ( sdtpldt0(sdtasdt0(xm,xq),sK2(sdtasdt0(xm,xq),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_71595,c_13871]) ).
tcf(c_73253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))),sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22541,c_70]) ).
tcf(c_73265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22541,c_70]) ).
tcf(c_73266,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_22541,c_76]) ).
tcf(c_73267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)),X0) ),
inference(superposition,[status(thm)],[c_22541,c_68]) ).
tcf(c_73268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sK1))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22541,c_68]) ).
tcf(c_73270,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) != sdtpldt0(xl,sK1) ) ),
inference(superposition,[status(thm)],[c_22541,c_77]) ).
tcf(c_73271,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73270,c_16398]) ).
tcf(c_73276,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73266,c_16398]) ).
tcf(c_73281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73265,c_16398]) ).
tcf(c_73287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))),sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73253,c_16398]) ).
tcf(c_73293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sK1))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73268,c_16398]) ).
tcf(c_73299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73267,c_16398]) ).
tcf(c_73310,plain,
( ( sdtasdt0(xm,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,sK0),sdtsldt0(sz00,sdtasdt0(xm,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_72964,c_106]) ).
tcf(c_73311,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_72964,c_99]) ).
tcf(c_73312,plain,
( ( sdtasdt0(sdtasdt0(xm,sK0),sK3(sdtasdt0(xm,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_72964,c_102]) ).
tcf(c_73313,plain,
sdtasdt0(sdtasdt0(xm,sK0),sK3(sdtasdt0(xm,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_73312,c_103,c_69208]) ).
tcf(c_73314,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73311,c_103,c_69208]) ).
tcf(c_73318,plain,
( ( sdtasdt0(xm,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,sK0),sdtsldt0(sz00,sdtasdt0(xm,sK0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73310,c_103,c_69208]) ).
tcf(c_73325,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70015,c_89]) ).
tcf(c_73328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70015,c_18982]) ).
tcf(c_73330,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70015,c_15630]) ).
tcf(c_73340,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ( sdtasdt0(X0,sdtasdt0(xm,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_70015,c_92]) ).
tcf(c_73341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70015,c_89]) ).
tcf(c_73342,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73340,c_103,c_69923]) ).
tcf(c_73347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73341,c_103,c_69923]) ).
tcf(c_73353,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73325,c_103,c_69923]) ).
tcf(c_73359,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73330,c_103,c_2614,c_69923]) ).
tcf(c_73364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73328,c_103,c_2614,c_69923]) ).
tcf(c_73376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70016,c_18291]) ).
tcf(c_73379,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ( sdtasdt0(sdtasdt0(xm,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_70016,c_91]) ).
tcf(c_73382,plain,
( doDivides0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70016,c_142]) ).
tcf(c_73384,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70016,c_87]) ).
tcf(c_73386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70016,c_87]) ).
tcf(c_73389,plain,
doDivides0(sdtasdt0(xm,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_73382,c_103,c_69923]) ).
tcf(c_73390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73379,c_103,c_69923]) ).
tcf(c_73395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73386,c_103,c_69923]) ).
tcf(c_73401,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73384,c_103,c_69923]) ).
tcf(c_73407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73376,c_103,c_2614,c_69923]) ).
tcf(c_73415,plain,
( ( sdtasdt0(xm,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,sK1),sdtsldt0(sz00,sdtasdt0(xm,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_73389,c_106]) ).
tcf(c_73416,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_73389,c_99]) ).
tcf(c_73417,plain,
( ( sdtasdt0(sdtasdt0(xm,sK1),sK3(sdtasdt0(xm,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_73389,c_102]) ).
tcf(c_73418,plain,
sdtasdt0(sdtasdt0(xm,sK1),sK3(sdtasdt0(xm,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_73417,c_103,c_69923]) ).
tcf(c_73419,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73416,c_103,c_69923]) ).
tcf(c_73423,plain,
( ( sdtasdt0(xm,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,sK1),sdtsldt0(sz00,sdtasdt0(xm,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73415,c_103,c_69923]) ).
tcf(c_73430,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69926,c_109]) ).
tcf(c_73431,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69926,c_11962]) ).
tcf(c_73432,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_69926,c_8700]) ).
tcf(c_73434,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtasdt0(xm,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),xq) ),
inference(superposition,[status(thm)],[c_69926,c_110]) ).
tcf(c_73435,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_69926,c_73]) ).
tcf(c_73436,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73435,c_62,c_69923]) ).
tcf(c_73439,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtasdt0(xm,sK1) = xq )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73434,c_62,c_69923]) ).
tcf(c_73443,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73430,c_62,c_69923]) ).
tcf(c_73448,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73431,c_62,c_69923]) ).
tcf(c_73456,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71441,c_89]) ).
tcf(c_73459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71441,c_18982]) ).
tcf(c_73461,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71441,c_15630]) ).
tcf(c_73471,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtasdt0(X0,sdtasdt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_71441,c_92]) ).
tcf(c_73472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71441,c_89]) ).
tcf(c_73473,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73471,c_103,c_71319]) ).
tcf(c_73478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73472,c_103,c_71319]) ).
tcf(c_73484,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73456,c_103,c_71319]) ).
tcf(c_73490,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73461,c_103,c_2614,c_71319]) ).
tcf(c_73495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73459,c_103,c_2614,c_71319]) ).
tcf(c_73569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71442,c_18291]) ).
tcf(c_73572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtasdt0(sdtasdt0(xm,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_71442,c_91]) ).
tcf(c_73575,plain,
( doDivides0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71442,c_142]) ).
tcf(c_73577,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71442,c_87]) ).
tcf(c_73579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71442,c_87]) ).
tcf(c_73582,plain,
doDivides0(sdtasdt0(xm,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_73575,c_103,c_71319]) ).
tcf(c_73583,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73572,c_103,c_71319]) ).
tcf(c_73588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73579,c_103,c_71319]) ).
tcf(c_73594,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73577,c_103,c_71319]) ).
tcf(c_73600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73569,c_103,c_2614,c_71319]) ).
tcf(c_73630,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73050,c_109]) ).
tcf(c_73631,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73050,c_11962]) ).
tcf(c_73632,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(superposition,[status(thm)],[c_73050,c_8700]) ).
tcf(c_73634,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(superposition,[status(thm)],[c_73050,c_110]) ).
tcf(c_73635,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xm))) = sK2(xq,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73050,c_73]) ).
tcf(c_73638,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xm))) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73635,c_103]) ).
tcf(c_73644,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73634,c_103]) ).
tcf(c_73651,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73630,c_103]) ).
tcf(c_73670,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_11984,c_54368]) ).
tcf(c_73672,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_108,c_54368]) ).
tcf(c_73673,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73672,c_103,c_54334]) ).
tcf(c_73688,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_11984,c_60430]) ).
tcf(c_73690,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_108,c_60430]) ).
tcf(c_73691,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73690,c_103,c_60396]) ).
tcf(c_73703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xm)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65272,c_84]) ).
tcf(c_73720,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xq )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X1,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73703,c_109]) ).
tcf(c_73724,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73703,c_110]) ).
tcf(c_73725,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sdtpldt0(X0,sK2(xq,xp)),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73703,c_73]) ).
tcf(c_73726,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X1,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73720,c_50]) ).
tcf(c_73735,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sdtpldt0(X0,sK2(xq,xp)),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73725,c_50]) ).
tcf(c_73742,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73724,c_50]) ).
tcf(c_73752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_70]) ).
tcf(c_73764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_70]) ).
tcf(c_73765,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_22695,c_76]) ).
tcf(c_73766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_22695,c_68]) ).
tcf(c_73767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sK2(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_68]) ).
tcf(c_73768,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_98]) ).
tcf(c_73769,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_22695,c_77]) ).
tcf(c_73770,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_70964]) ).
tcf(c_73771,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_22695,c_51524]) ).
tcf(c_73772,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_22695,c_49956]) ).
tcf(c_73773,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_22695,c_47638]) ).
tcf(c_73775,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_22695,c_46832]) ).
tcf(c_73776,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_22695,c_43963]) ).
tcf(c_73777,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_22695,c_43470]) ).
tcf(c_73778,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_22695,c_43085]) ).
tcf(c_73779,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_22695,c_42039]) ).
tcf(c_73780,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_22695,c_35146]) ).
tcf(c_73783,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_22695,c_26052]) ).
tcf(c_73784,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_15930]) ).
tcf(c_73785,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_15792]) ).
tcf(c_73786,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_24215]) ).
tcf(c_73787,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_24215]) ).
tcf(c_73788,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_15931]) ).
tcf(c_73789,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_22695,c_24885]) ).
tcf(c_73790,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_15793]) ).
tcf(c_73791,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_22695,c_8652]) ).
tcf(c_73792,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_22695,c_45030]) ).
tcf(c_73793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73769,c_103]) ).
tcf(c_73798,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73768,c_103]) ).
tcf(c_73804,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73765,c_103]) ).
tcf(c_73809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73764,c_103]) ).
tcf(c_73816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xp))
| ( sK2(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73767,c_103]) ).
tcf(c_73822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73766,c_103]) ).
tcf(c_73845,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_73787,c_22695]) ).
tcf(c_73874,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_73783,c_22695]) ).
tcf(c_73883,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_73775,c_22695]) ).
tcf(c_73884,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73883,c_16905]) ).
tcf(c_73916,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_73773,c_22695]) ).
tcf(c_73917,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73916,c_16905]) ).
tcf(c_73932,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_73779,c_22695]) ).
tcf(c_73933,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73932,c_16905]) ).
tcf(c_73942,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_73792,c_22695]) ).
tcf(c_73943,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73942,c_16905]) ).
tcf(c_73953,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_73772,c_22695]) ).
tcf(c_73954,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73953,c_16905]) ).
tcf(c_73963,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_73771,c_22695]) ).
tcf(c_73964,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73963,c_16905]) ).
tcf(c_74091,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(sz00,sdtasdt0(xm,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_73582,c_106]) ).
tcf(c_74092,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_73582,c_99]) ).
tcf(c_74093,plain,
( ( sdtasdt0(sdtasdt0(xm,xp),sK3(sdtasdt0(xm,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_73582,c_102]) ).
tcf(c_74094,plain,
sdtasdt0(sdtasdt0(xm,xp),sK3(sdtasdt0(xm,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_74093,c_103,c_71319]) ).
tcf(c_74095,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74092,c_103,c_71319]) ).
tcf(c_74099,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xp),sdtsldt0(sz00,sdtasdt0(xm,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74091,c_103,c_71319]) ).
tcf(c_74102,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71717,c_89]) ).
tcf(c_74105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71717,c_18982]) ).
tcf(c_74107,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71717,c_15630]) ).
tcf(c_74117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtasdt0(X0,sdtasdt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_71717,c_92]) ).
tcf(c_74118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71717,c_89]) ).
tcf(c_74119,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74117,c_103,c_71595]) ).
tcf(c_74124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74118,c_103,c_71595]) ).
tcf(c_74130,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74102,c_103,c_71595]) ).
tcf(c_74136,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74107,c_103,c_2614,c_71595]) ).
tcf(c_74141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74105,c_103,c_2614,c_71595]) ).
tcf(c_74198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71718,c_18291]) ).
tcf(c_74201,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtasdt0(sdtasdt0(xm,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_71718,c_91]) ).
tcf(c_74204,plain,
( doDivides0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71718,c_142]) ).
tcf(c_74206,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71718,c_87]) ).
tcf(c_74208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71718,c_87]) ).
tcf(c_74211,plain,
doDivides0(sdtasdt0(xm,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_74204,c_103,c_71595]) ).
tcf(c_74212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74201,c_103,c_71595]) ).
tcf(c_74217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74208,c_103,c_71595]) ).
tcf(c_74223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74206,c_103,c_71595]) ).
tcf(c_74229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74198,c_103,c_2614,c_71595]) ).
tcf(c_74237,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xq),sdtsldt0(sz00,sdtasdt0(xm,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_74211,c_106]) ).
tcf(c_74238,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_74211,c_99]) ).
tcf(c_74239,plain,
( ( sdtasdt0(sdtasdt0(xm,xq),sK3(sdtasdt0(xm,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_74211,c_102]) ).
tcf(c_74240,plain,
sdtasdt0(sdtasdt0(xm,xq),sK3(sdtasdt0(xm,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_74239,c_103,c_71595]) ).
tcf(c_74241,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74238,c_103,c_71595]) ).
tcf(c_74245,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xq),sdtsldt0(sz00,sdtasdt0(xm,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74237,c_103,c_71595]) ).
tcf(c_74252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_65311,c_109]) ).
tcf(c_74256,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ sdtlseqdt0(xm,sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_65311,c_110]) ).
tcf(c_74257,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(sdtpldt0(xp,sK1),sK2(sdtpldt0(xp,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_65311,c_73]) ).
tcf(c_74258,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(sdtpldt0(xp,sK1),sK2(sdtpldt0(xp,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74257,c_50,c_55938]) ).
tcf(c_74261,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ( sdtpldt0(xp,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74256,c_50,c_55938]) ).
tcf(c_74265,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74252,c_50,c_55938]) ).
tcf(c_74274,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_65314,c_109]) ).
tcf(c_74278,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ sdtlseqdt0(xm,sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_65314,c_110]) ).
tcf(c_74279,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(sdtpldt0(xp,sK0),sK2(sdtpldt0(xp,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_65314,c_73]) ).
tcf(c_74280,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(sdtpldt0(xp,sK0),sK2(sdtpldt0(xp,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74279,c_50,c_49747]) ).
tcf(c_74283,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ( sdtpldt0(xp,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74278,c_50,c_49747]) ).
tcf(c_74287,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74274,c_50,c_49747]) ).
tcf(c_74318,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_65317,c_109]) ).
tcf(c_74322,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ sdtlseqdt0(xm,sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_65317,c_110]) ).
tcf(c_74323,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_65317,c_73]) ).
tcf(c_74324,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sdtpldt0(sK0,sK1),sK2(sdtpldt0(sK0,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74323,c_50,c_49492]) ).
tcf(c_74327,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ( sdtpldt0(sK0,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74322,c_50,c_49492]) ).
tcf(c_74331,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74318,c_50,c_49492]) ).
tcf(c_74415,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_65320,c_109]) ).
tcf(c_74419,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ sdtlseqdt0(xm,sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_65320,c_110]) ).
tcf(c_74420,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_65320,c_73]) ).
tcf(c_74421,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(sdtpldt0(xn,sK1),sK2(sdtpldt0(xn,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74420,c_50,c_41362]) ).
tcf(c_74424,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ( sdtpldt0(xn,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74419,c_50,c_41362]) ).
tcf(c_74428,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74415,c_50,c_41362]) ).
tcf(c_74463,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73789,c_109]) ).
tcf(c_74464,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_11962]) ).
tcf(c_74465,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_8700]) ).
tcf(c_74466,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_3979]) ).
tcf(c_74467,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73789,c_110]) ).
tcf(c_74468,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_73]) ).
tcf(c_74469,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_5863]) ).
tcf(c_74470,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_26045]) ).
tcf(c_74471,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_8679]) ).
tcf(c_74621,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11984,c_68332]) ).
tcf(c_74623,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_108,c_68332]) ).
tcf(c_74624,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74623,c_103,c_68298]) ).
tcf(c_74634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22835,c_70]) ).
tcf(c_74646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22835,c_70]) ).
tcf(c_74647,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_22835,c_76]) ).
tcf(c_74648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_22835,c_68]) ).
tcf(c_74649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22835,c_68]) ).
tcf(c_74651,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(superposition,[status(thm)],[c_22835,c_77]) ).
tcf(c_74652,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74651,c_16905]) ).
tcf(c_74657,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74647,c_16905]) ).
tcf(c_74662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74646,c_16905]) ).
tcf(c_74668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))),sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74634,c_16905]) ).
tcf(c_74674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xl,xp))
| ( sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74649,c_16905]) ).
tcf(c_74680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xp),sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74648,c_16905]) ).
tcf(c_74691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xn)),sdtasdt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69132,c_70]) ).
tcf(c_74693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_69132,c_17825]) ).
tcf(c_74694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69132,c_17392]) ).
tcf(c_74695,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_69132,c_14477]) ).
tcf(c_74701,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69132,c_145]) ).
tcf(c_74703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69132,c_70]) ).
tcf(c_74704,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_69132,c_76]) ).
tcf(c_74705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_69132,c_68]) ).
tcf(c_74706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69132,c_68]) ).
tcf(c_74708,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(X0,sdtasdt0(xm,xn)) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_69132,c_77]) ).
tcf(c_74710,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_51524]) ).
tcf(c_74711,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_49956]) ).
tcf(c_74712,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69132,c_47638]) ).
tcf(c_74713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_41879]) ).
tcf(c_74714,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_46832]) ).
tcf(c_74715,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_43963]) ).
tcf(c_74716,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_43470]) ).
tcf(c_74717,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_43085]) ).
tcf(c_74718,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_42039]) ).
tcf(c_74719,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_35146]) ).
tcf(c_74720,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_26041]) ).
tcf(c_74721,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_26044]) ).
tcf(c_74722,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) ),
inference(superposition,[status(thm)],[c_69132,c_26052]) ).
tcf(c_74723,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_15930]) ).
tcf(c_74724,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_15792]) ).
tcf(c_74725,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_24215]) ).
tcf(c_74726,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_24215]) ).
tcf(c_74727,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_15931]) ).
tcf(c_74728,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_24885]) ).
tcf(c_74729,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_15793]) ).
tcf(c_74730,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,xn) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_69132,c_8652]) ).
tcf(c_74731,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_45030]) ).
tcf(c_74732,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_74701,c_103,c_68944]) ).
tcf(c_74733,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xn)) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74708,c_103,c_68944]) ).
tcf(c_74737,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74704,c_103,c_68944]) ).
tcf(c_74741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sdtasdt0(xm,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74703,c_103,c_68944]) ).
tcf(c_74747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74706,c_103,c_68944]) ).
tcf(c_74752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74705,c_103,c_68944]) ).
tcf(c_74757,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74695,c_103,c_68944]) ).
tcf(c_74762,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,xn) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74730,c_68944]) ).
tcf(c_74767,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74729,c_68944]) ).
tcf(c_74773,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74727,c_68944]) ).
tcf(c_74779,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74726,c_69132]) ).
tcf(c_74780,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74779,c_68944]) ).
tcf(c_74788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xn)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74693,c_103,c_68944]) ).
tcf(c_74796,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74724,c_68944]) ).
tcf(c_74803,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74723,c_68944]) ).
tcf(c_74810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74694,c_103,c_68944]) ).
tcf(c_74825,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74722,c_69132]) ).
tcf(c_74826,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74825,c_68944]) ).
tcf(c_74832,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74721,c_69132]) ).
tcf(c_74833,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74832,c_68944]) ).
tcf(c_74840,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74719,c_68944]) ).
tcf(c_74848,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74720,c_69132]) ).
tcf(c_74849,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74848,c_68944]) ).
tcf(c_74857,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74714,c_69132]) ).
tcf(c_74858,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74857,c_68944]) ).
tcf(c_74865,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn)) ),
inference(light_normalisation,[status(thm)],[c_74712,c_69132]) ).
tcf(c_74866,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74865,c_68944]) ).
tcf(c_74873,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74718,c_69132]) ).
tcf(c_74874,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74873,c_68944]) ).
tcf(c_74882,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74717,c_68944]) ).
tcf(c_74890,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74716,c_68944]) ).
tcf(c_74898,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74715,c_68944]) ).
tcf(c_74905,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74731,c_69132]) ).
tcf(c_74906,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74905,c_68944]) ).
tcf(c_74915,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74711,c_69132]) ).
tcf(c_74916,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74915,c_68944]) ).
tcf(c_74924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74713,c_69132]) ).
tcf(c_74925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74924,c_68944]) ).
tcf(c_74935,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_74710,c_69132]) ).
tcf(c_74936,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74935,c_68944]) ).
tcf(c_75033,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_74732,c_109]) ).
tcf(c_75037,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_74732,c_110]) ).
tcf(c_75038,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_74732,c_73]) ).
tcf(c_75039,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_75038,c_103,c_68944]) ).
tcf(c_75040,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75037,c_103,c_68944]) ).
tcf(c_75043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75033,c_103,c_68944]) ).
tcf(c_75047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69133,c_70]) ).
tcf(c_75048,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_69133,c_24035]) ).
tcf(c_75049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69133,c_17825]) ).
tcf(c_75050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_69133,c_17392]) ).
tcf(c_75051,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_69133,c_14477]) ).
tcf(c_75052,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69133,c_5155]) ).
tcf(c_75057,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69133,c_145]) ).
tcf(c_75059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(superposition,[status(thm)],[c_69133,c_70]) ).
tcf(c_75060,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_69133,c_76]) ).
tcf(c_75061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69133,c_68]) ).
tcf(c_75062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_69133,c_68]) ).
tcf(c_75064,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_69133,c_77]) ).
tcf(c_75065,plain,
sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_75057,c_103,c_68944]) ).
tcf(c_75066,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75052,c_103,c_68944]) ).
tcf(c_75069,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75064,c_103,c_68944]) ).
tcf(c_75073,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xm,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75060,c_103,c_68944]) ).
tcf(c_75078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(sdtasdt0(xm,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75061,c_103,c_68944]) ).
tcf(c_75083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75059,c_103,c_68944]) ).
tcf(c_75088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75047,c_103,c_68944]) ).
tcf(c_75093,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75051,c_103,c_68944]) ).
tcf(c_75098,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75048,c_103,c_68944]) ).
tcf(c_75104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75050,c_103,c_68944]) ).
tcf(c_75112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75049,c_103,c_68944]) ).
tcf(c_75122,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_75065,c_8700]) ).
tcf(c_75125,plain,
( ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_75065,c_73]) ).
tcf(c_75126,plain,
sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),sdtasdt0(xm,xn))) = sdtasdt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_75125,c_68944]) ).
tcf(c_75132,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_65323,c_109]) ).
tcf(c_75136,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ sdtlseqdt0(xm,sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_65323,c_110]) ).
tcf(c_75137,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_65323,c_73]) ).
tcf(c_75138,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(sdtpldt0(xn,sK0),sK2(sdtpldt0(xn,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75137,c_50,c_40684]) ).
tcf(c_75141,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ( sdtpldt0(xn,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75136,c_50,c_40684]) ).
tcf(c_75145,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75132,c_50,c_40684]) ).
tcf(c_75154,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_65326,c_109]) ).
tcf(c_75158,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_65326,c_110]) ).
tcf(c_75159,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),sK2(sdtpldt0(xn,xp),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_65326,c_73]) ).
tcf(c_75160,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),sK2(sdtpldt0(xn,xp),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75159,c_50,c_41576]) ).
tcf(c_75163,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75158,c_50,c_41576]) ).
tcf(c_75167,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75154,c_50,c_41576]) ).
tcf(c_75176,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_65329,c_109]) ).
tcf(c_75180,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ sdtlseqdt0(xm,sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_65329,c_110]) ).
tcf(c_75181,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(sdtpldt0(xm,sK1),sK2(sdtpldt0(xm,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_65329,c_73]) ).
tcf(c_75182,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(sdtpldt0(xm,sK1),sK2(sdtpldt0(xm,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75181,c_50,c_27269]) ).
tcf(c_75185,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ( sdtpldt0(xm,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75180,c_50,c_27269]) ).
tcf(c_75189,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75176,c_50,c_27269]) ).
tcf(c_75198,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_65332,c_109]) ).
tcf(c_75202,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ sdtlseqdt0(xm,sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_65332,c_110]) ).
tcf(c_75203,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(sdtpldt0(xm,sK0),sK2(sdtpldt0(xm,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_65332,c_73]) ).
tcf(c_75204,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(sdtpldt0(xm,sK0),sK2(sdtpldt0(xm,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75203,c_50,c_26991]) ).
tcf(c_75207,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ( sdtpldt0(xm,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75202,c_50,c_26991]) ).
tcf(c_75211,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75198,c_50,c_26991]) ).
tcf(c_75266,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_75093,c_109]) ).
tcf(c_75267,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_75093,c_11962]) ).
tcf(c_75268,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_75093,c_8700]) ).
tcf(c_75269,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_75093,c_3979]) ).
tcf(c_75270,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_75093,c_110]) ).
tcf(c_75271,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_75093,c_73]) ).
tcf(c_75272,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(superposition,[status(thm)],[c_75093,c_5863]) ).
tcf(c_75275,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75268,c_68944]) ).
tcf(c_75281,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75266,c_68944]) ).
tcf(c_75288,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75272,c_68944]) ).
tcf(c_75294,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75271,c_68944]) ).
tcf(c_75299,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75270,c_68944]) ).
tcf(c_75321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_13877]) ).
tcf(c_75323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_13877]) ).
tcf(c_75329,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27721,c_13877]) ).
tcf(c_75340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_13877]) ).
tcf(c_75342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_13877]) ).
tcf(c_75343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_13877]) ).
tcf(c_75344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_13877]) ).
tcf(c_75345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75323,c_103]) ).
tcf(c_75352,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_75342,c_2464]) ).
tcf(c_75353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75340,c_62,c_103]) ).
tcf(c_75362,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75343,c_103]) ).
tcf(c_75371,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75321,c_103]) ).
tcf(c_75380,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_75344,c_2465]) ).
tcf(c_75381,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75380,c_103]) ).
tcf(c_75392,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_11987,c_84,c_11987]) ).
tcf(c_75445,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_75392]) ).
tcf(c_75464,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_16243,c_75392]) ).
tcf(c_75468,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_75392]) ).
tcf(c_75472,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_75392]) ).
tcf(c_75476,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_75392]) ).
tcf(c_75481,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_75392]) ).
tcf(c_75487,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_75392]) ).
tcf(c_75495,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_75392]) ).
tcf(c_75550,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_75392,c_109]) ).
tcf(c_75553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_75392,c_3979]) ).
tcf(c_75554,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_75392,c_110]) ).
tcf(c_75555,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_75392,c_73]) ).
tcf(c_75556,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_75392,c_3965]) ).
tcf(c_75560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_75392,c_5863]) ).
tcf(c_75561,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),X1))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_75392,c_45702]) ).
tcf(c_75562,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_75392,c_26045]) ).
tcf(c_75563,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_8679]) ).
tcf(c_75564,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_75392,c_20184]) ).
tcf(c_75565,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_75392,c_109]) ).
tcf(c_75567,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_75392,c_8700]) ).
tcf(c_75569,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_75392,c_110]) ).
tcf(c_75570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_75392,c_73]) ).
tcf(c_75572,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_45030]) ).
tcf(c_75573,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75445,c_103]) ).
tcf(c_75592,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75556,c_59]) ).
tcf(c_75628,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75570,c_103]) ).
tcf(c_75636,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75569,c_103]) ).
tcf(c_75645,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75565,c_103]) ).
tcf(c_75670,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75572,c_103]) ).
tcf(c_75749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_70]) ).
tcf(c_75762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_70]) ).
tcf(c_75763,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_22982,c_76]) ).
tcf(c_75764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_22982,c_68]) ).
tcf(c_75765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sK2(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_68]) ).
tcf(c_75766,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_98]) ).
tcf(c_75767,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_22982,c_77]) ).
tcf(c_75768,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_70964]) ).
tcf(c_75769,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_22982,c_51524]) ).
tcf(c_75770,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_22982,c_49956]) ).
tcf(c_75771,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_22982,c_47638]) ).
tcf(c_75773,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_22982,c_46832]) ).
tcf(c_75774,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_22982,c_43963]) ).
tcf(c_75775,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_22982,c_43470]) ).
tcf(c_75776,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_22982,c_43085]) ).
tcf(c_75777,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_22982,c_42039]) ).
tcf(c_75778,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_22982,c_35146]) ).
tcf(c_75781,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_22982,c_26052]) ).
tcf(c_75782,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_15930]) ).
tcf(c_75783,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_15792]) ).
tcf(c_75784,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_24215]) ).
tcf(c_75785,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_24215]) ).
tcf(c_75786,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_15931]) ).
tcf(c_75787,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_22982,c_24885]) ).
tcf(c_75788,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_15793]) ).
tcf(c_75789,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_22982,c_8652]) ).
tcf(c_75790,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_22982,c_45030]) ).
tcf(c_75791,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75767,c_103]) ).
tcf(c_75796,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sK2(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75766,c_103]) ).
tcf(c_75802,plain,
! [X0: $i] :
( ( sK2(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75763,c_103]) ).
tcf(c_75807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK2(sz00,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75762,c_103]) ).
tcf(c_75814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,xq))
| ( sK2(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sz00,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75765,c_103]) ).
tcf(c_75820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sz00,X0))
| ( sK2(sz00,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75764,c_103]) ).
tcf(c_75843,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_75785,c_22982]) ).
tcf(c_75872,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_75781,c_22982]) ).
tcf(c_75881,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_75773,c_22982]) ).
tcf(c_75882,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75881,c_17110]) ).
tcf(c_75914,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_75771,c_22982]) ).
tcf(c_75915,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75914,c_17110]) ).
tcf(c_75930,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_75777,c_22982]) ).
tcf(c_75931,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75930,c_17110]) ).
tcf(c_75940,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_75790,c_22982]) ).
tcf(c_75941,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75940,c_17110]) ).
tcf(c_75951,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_75770,c_22982]) ).
tcf(c_75952,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75951,c_17110]) ).
tcf(c_75961,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_75769,c_22982]) ).
tcf(c_75962,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75961,c_17110]) ).
tcf(c_76016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,sK0)),sdtasdt0(xm,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69377,c_70]) ).
tcf(c_76019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_69377,c_17825]) ).
tcf(c_76020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69377,c_17392]) ).
tcf(c_76021,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_69377,c_14477]) ).
tcf(c_76027,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69377,c_145]) ).
tcf(c_76029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(X0,sdtasdt0(xm,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69377,c_70]) ).
tcf(c_76030,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_69377,c_76]) ).
tcf(c_76031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),X0) ),
inference(superposition,[status(thm)],[c_69377,c_68]) ).
tcf(c_76032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69377,c_68]) ).
tcf(c_76034,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ( sdtpldt0(X0,sdtasdt0(xm,sK0)) != sdtasdt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_69377,c_77]) ).
tcf(c_76036,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_51524]) ).
tcf(c_76037,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_49956]) ).
tcf(c_76038,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69377,c_47638]) ).
tcf(c_76039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_41879]) ).
tcf(c_76040,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_46832]) ).
tcf(c_76041,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_43963]) ).
tcf(c_76042,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_43470]) ).
tcf(c_76043,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_43085]) ).
tcf(c_76044,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_42039]) ).
tcf(c_76045,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_35146]) ).
tcf(c_76046,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_26041]) ).
tcf(c_76047,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_26044]) ).
tcf(c_76048,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_69377,c_26052]) ).
tcf(c_76049,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_15930]) ).
tcf(c_76050,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_15792]) ).
tcf(c_76051,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_24215]) ).
tcf(c_76052,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_24215]) ).
tcf(c_76053,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_15931]) ).
tcf(c_76054,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_24885]) ).
tcf(c_76055,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_15793]) ).
tcf(c_76056,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_69377,c_8652]) ).
tcf(c_76057,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_69377,c_45030]) ).
tcf(c_76058,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_76027,c_103,c_69208]) ).
tcf(c_76059,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,sK0)) != sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76034,c_103,c_69208]) ).
tcf(c_76063,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76030,c_103,c_69208]) ).
tcf(c_76067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(X0,sdtasdt0(xm,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76029,c_103,c_69208]) ).
tcf(c_76073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76032,c_103,c_69208]) ).
tcf(c_76078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76031,c_103,c_69208]) ).
tcf(c_76083,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76021,c_103,c_69208]) ).
tcf(c_76088,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76056,c_69208]) ).
tcf(c_76093,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76055,c_69208]) ).
tcf(c_76099,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76053,c_69208]) ).
tcf(c_76105,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76052,c_69377]) ).
tcf(c_76106,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76105,c_69208]) ).
tcf(c_76114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76019,c_103,c_69208]) ).
tcf(c_76122,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76050,c_69208]) ).
tcf(c_76129,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76049,c_69208]) ).
tcf(c_76136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76020,c_103,c_69208]) ).
tcf(c_76151,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76048,c_69377]) ).
tcf(c_76152,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76151,c_69208]) ).
tcf(c_76158,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76047,c_69377]) ).
tcf(c_76159,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76158,c_69208]) ).
tcf(c_76166,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76045,c_69208]) ).
tcf(c_76174,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76046,c_69377]) ).
tcf(c_76175,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76174,c_69208]) ).
tcf(c_76183,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76040,c_69377]) ).
tcf(c_76184,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76183,c_69208]) ).
tcf(c_76191,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0)) ),
inference(light_normalisation,[status(thm)],[c_76038,c_69377]) ).
tcf(c_76192,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76191,c_69208]) ).
tcf(c_76199,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76044,c_69377]) ).
tcf(c_76200,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76199,c_69208]) ).
tcf(c_76208,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76043,c_69208]) ).
tcf(c_76216,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76042,c_69208]) ).
tcf(c_76224,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76041,c_69208]) ).
tcf(c_76231,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76057,c_69377]) ).
tcf(c_76232,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76231,c_69208]) ).
tcf(c_76241,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76037,c_69377]) ).
tcf(c_76242,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76241,c_69208]) ).
tcf(c_76250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76039,c_69377]) ).
tcf(c_76251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76250,c_69208]) ).
tcf(c_76261,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_76036,c_69377]) ).
tcf(c_76262,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76261,c_69208]) ).
tcf(c_76327,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76058,c_109]) ).
tcf(c_76331,plain,
( ( sdtasdt0(xm,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_76058,c_110]) ).
tcf(c_76332,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76058,c_73]) ).
tcf(c_76333,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_76332,c_103,c_69208]) ).
tcf(c_76334,plain,
( ( sdtasdt0(xm,sK0) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76331,c_103,c_69208]) ).
tcf(c_76337,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76327,c_103,c_69208]) ).
tcf(c_76745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69378,c_70]) ).
tcf(c_76747,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_69378,c_24035]) ).
tcf(c_76748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69378,c_17825]) ).
tcf(c_76749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_69378,c_17392]) ).
tcf(c_76750,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_69378,c_14477]) ).
tcf(c_76751,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69378,c_5155]) ).
tcf(c_76756,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69378,c_145]) ).
tcf(c_76758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),X0) ),
inference(superposition,[status(thm)],[c_69378,c_70]) ).
tcf(c_76759,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ( sdtpldt0(sdtasdt0(xm,sK0),X0) != sdtasdt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_69378,c_76]) ).
tcf(c_76760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(sdtasdt0(xm,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69378,c_68]) ).
tcf(c_76761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,sK0),X0),sdtasdt0(xm,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_69378,c_68]) ).
tcf(c_76763,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,sK0) ) ),
inference(superposition,[status(thm)],[c_69378,c_77]) ).
tcf(c_76764,plain,
sdtlseqdt0(sdtasdt0(xm,sK0),sdtasdt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_76756,c_103,c_69208]) ).
tcf(c_76765,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76751,c_103,c_69208]) ).
tcf(c_76768,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76763,c_103,c_69208]) ).
tcf(c_76772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,sK0),X0) != sdtasdt0(xm,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76759,c_103,c_69208]) ).
tcf(c_76777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(sdtasdt0(xm,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76760,c_103,c_69208]) ).
tcf(c_76782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76758,c_103,c_69208]) ).
tcf(c_76787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76745,c_103,c_69208]) ).
tcf(c_76792,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76750,c_103,c_69208]) ).
tcf(c_76797,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76747,c_103,c_69208]) ).
tcf(c_76803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76749,c_103,c_69208]) ).
tcf(c_76811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76748,c_103,c_69208]) ).
tcf(c_76821,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_76764,c_8700]) ).
tcf(c_76824,plain,
( ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76764,c_73]) ).
tcf(c_76825,plain,
sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),sdtasdt0(xm,sK0))) = sdtasdt0(xm,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_76824,c_69208]) ).
tcf(c_76831,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_65335,c_109]) ).
tcf(c_76835,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_65335,c_110]) ).
tcf(c_76836,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_65335,c_73]) ).
tcf(c_76837,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76836,c_50,c_28177]) ).
tcf(c_76840,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76835,c_50,c_28177]) ).
tcf(c_76844,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76831,c_50,c_28177]) ).
tcf(c_76853,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_65338,c_109]) ).
tcf(c_76857,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_65338,c_110]) ).
tcf(c_76858,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_65338,c_73]) ).
tcf(c_76859,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(sdtpldt0(xq,sK0),sK2(sdtpldt0(xq,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76858,c_50,c_51000]) ).
tcf(c_76862,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ( sdtpldt0(xq,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76857,c_50,c_51000]) ).
tcf(c_76866,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76853,c_50,c_51000]) ).
tcf(c_76875,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_65341,c_109]) ).
tcf(c_76879,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_65341,c_110]) ).
tcf(c_76880,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_65341,c_73]) ).
tcf(c_76881,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(sdtpldt0(xq,sK1),sK2(sdtpldt0(xq,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76880,c_50,c_56252]) ).
tcf(c_76884,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ( sdtpldt0(xq,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76879,c_50,c_56252]) ).
tcf(c_76888,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76875,c_50,c_56252]) ).
tcf(c_76897,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_65344,c_109]) ).
tcf(c_76901,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_65344,c_110]) ).
tcf(c_76902,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_65344,c_73]) ).
tcf(c_76903,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76902,c_50,c_16398]) ).
tcf(c_76906,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ( sdtpldt0(xl,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76901,c_50,c_16398]) ).
tcf(c_76910,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76897,c_50,c_16398]) ).
tcf(c_76965,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_75563,c_8631,c_75563]) ).
tcf(c_76980,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_109]) ).
tcf(c_76981,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_11962]) ).
tcf(c_76983,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_3979]) ).
tcf(c_76984,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_76965,c_110]) ).
tcf(c_76985,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_73]) ).
tcf(c_76986,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_12182]) ).
tcf(c_76987,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_76965,c_8702]) ).
tcf(c_76988,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_5910]) ).
tcf(c_76989,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_47638]) ).
tcf(c_76991,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X1,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_76965,c_109]) ).
tcf(c_76992,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_76965,c_11962]) ).
tcf(c_76993,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_76965,c_8700]) ).
tcf(c_76995,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_76965,c_110]) ).
tcf(c_76996,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_76965,c_73]) ).
tcf(c_77024,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X1,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76991,c_103]) ).
tcf(c_77072,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76996,c_103]) ).
tcf(c_77080,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76995,c_103]) ).
tcf(c_77089,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_76993,c_103]) ).
tcf(c_77127,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_76987,c_8631,c_75562]) ).
tcf(c_77128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_77127]) ).
tcf(c_77144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77128,c_109]) ).
tcf(c_77145,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77128,c_11962]) ).
tcf(c_77146,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_77128,c_8700]) ).
tcf(c_77148,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_77128,c_110]) ).
tcf(c_77149,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77128,c_73]) ).
tcf(c_77150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77144,c_103]) ).
tcf(c_77162,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77149,c_103]) ).
tcf(c_77171,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77148,c_103]) ).
tcf(c_77181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77146,c_103]) ).
tcf(c_77209,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75787,c_109]) ).
tcf(c_77210,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_11962]) ).
tcf(c_77211,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_8700]) ).
tcf(c_77212,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_3979]) ).
tcf(c_77213,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75787,c_110]) ).
tcf(c_77214,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_73]) ).
tcf(c_77215,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_5863]) ).
tcf(c_77216,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_26045]) ).
tcf(c_77217,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_8679]) ).
tcf(c_77304,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_75564,c_8631,c_75564]) ).
tcf(c_77305,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_77304]) ).
tcf(c_77323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77305,c_109]) ).
tcf(c_77324,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77305,c_11962]) ).
tcf(c_77325,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_77305,c_8700]) ).
tcf(c_77327,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_77305,c_110]) ).
tcf(c_77328,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77305,c_73]) ).
tcf(c_77329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77323,c_103]) ).
tcf(c_77342,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77328,c_103]) ).
tcf(c_77352,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77327,c_103]) ).
tcf(c_77363,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77325,c_103]) ).
tcf(c_77442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_23039,c_70]) ).
tcf(c_77455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_23039,c_70]) ).
tcf(c_77456,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_23039,c_76]) ).
tcf(c_77457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_23039,c_68]) ).
tcf(c_77458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_23039,c_68]) ).
tcf(c_77460,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_23039,c_77]) ).
tcf(c_77461,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77460,c_17110]) ).
tcf(c_77466,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77456,c_17110]) ).
tcf(c_77471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77455,c_17110]) ).
tcf(c_77477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))),sdtpldt0(xl,xq))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77442,c_17110]) ).
tcf(c_77483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xl,xq))
| ( sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77458,c_17110]) ).
tcf(c_77489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,xq),sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77457,c_17110]) ).
tcf(c_77500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,sK1)),sdtasdt0(xm,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70017,c_70]) ).
tcf(c_77503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_70017,c_17825]) ).
tcf(c_77504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70017,c_17392]) ).
tcf(c_77505,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_70017,c_14477]) ).
tcf(c_77511,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70017,c_145]) ).
tcf(c_77513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(X0,sdtasdt0(xm,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70017,c_70]) ).
tcf(c_77514,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_70017,c_76]) ).
tcf(c_77515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),X0) ),
inference(superposition,[status(thm)],[c_70017,c_68]) ).
tcf(c_77516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70017,c_68]) ).
tcf(c_77518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ( sdtpldt0(X0,sdtasdt0(xm,sK1)) != sdtasdt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_70017,c_77]) ).
tcf(c_77520,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_51524]) ).
tcf(c_77521,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_49956]) ).
tcf(c_77522,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70017,c_47638]) ).
tcf(c_77523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_41879]) ).
tcf(c_77524,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_46832]) ).
tcf(c_77525,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_43963]) ).
tcf(c_77526,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_43470]) ).
tcf(c_77527,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_43085]) ).
tcf(c_77528,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_42039]) ).
tcf(c_77529,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_35146]) ).
tcf(c_77530,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_26041]) ).
tcf(c_77531,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_26044]) ).
tcf(c_77532,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_70017,c_26052]) ).
tcf(c_77533,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_15930]) ).
tcf(c_77534,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_15792]) ).
tcf(c_77535,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_24215]) ).
tcf(c_77536,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_24215]) ).
tcf(c_77537,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_15931]) ).
tcf(c_77538,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_24885]) ).
tcf(c_77539,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_15793]) ).
tcf(c_77540,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_70017,c_8652]) ).
tcf(c_77541,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sK1))) ),
inference(superposition,[status(thm)],[c_70017,c_45030]) ).
tcf(c_77542,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_77511,c_103,c_69923]) ).
tcf(c_77543,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,sK1)) != sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77518,c_103,c_69923]) ).
tcf(c_77547,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77514,c_103,c_69923]) ).
tcf(c_77551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(X0,sdtasdt0(xm,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77513,c_103,c_69923]) ).
tcf(c_77557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77516,c_103,c_69923]) ).
tcf(c_77562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77515,c_103,c_69923]) ).
tcf(c_77567,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77505,c_103,c_69923]) ).
tcf(c_77572,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77540,c_69923]) ).
tcf(c_77577,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77539,c_69923]) ).
tcf(c_77583,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77537,c_69923]) ).
tcf(c_77589,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77536,c_70017]) ).
tcf(c_77590,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77589,c_69923]) ).
tcf(c_77598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77503,c_103,c_69923]) ).
tcf(c_77606,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77534,c_69923]) ).
tcf(c_77613,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77533,c_69923]) ).
tcf(c_77620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77504,c_103,c_69923]) ).
tcf(c_77635,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77532,c_70017]) ).
tcf(c_77636,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77635,c_69923]) ).
tcf(c_77642,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77531,c_70017]) ).
tcf(c_77643,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77642,c_69923]) ).
tcf(c_77650,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77529,c_69923]) ).
tcf(c_77658,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77530,c_70017]) ).
tcf(c_77659,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77658,c_69923]) ).
tcf(c_77667,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77524,c_70017]) ).
tcf(c_77668,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77667,c_69923]) ).
tcf(c_77675,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1)) ),
inference(light_normalisation,[status(thm)],[c_77522,c_70017]) ).
tcf(c_77676,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77675,c_69923]) ).
tcf(c_77683,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77528,c_70017]) ).
tcf(c_77684,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77683,c_69923]) ).
tcf(c_77692,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77527,c_69923]) ).
tcf(c_77700,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77526,c_69923]) ).
tcf(c_77708,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77525,c_69923]) ).
tcf(c_77715,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77541,c_70017]) ).
tcf(c_77716,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77715,c_69923]) ).
tcf(c_77725,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77521,c_70017]) ).
tcf(c_77726,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77725,c_69923]) ).
tcf(c_77734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77523,c_70017]) ).
tcf(c_77735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77734,c_69923]) ).
tcf(c_77745,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_77520,c_70017]) ).
tcf(c_77746,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77745,c_69923]) ).
tcf(c_77857,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77542,c_109]) ).
tcf(c_77861,plain,
( ( sdtasdt0(xm,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_77542,c_110]) ).
tcf(c_77862,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77542,c_73]) ).
tcf(c_77863,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_77862,c_103,c_69923]) ).
tcf(c_77864,plain,
( ( sdtasdt0(xm,sK1) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77861,c_103,c_69923]) ).
tcf(c_77867,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77857,c_103,c_69923]) ).
tcf(c_77871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70018,c_70]) ).
tcf(c_77873,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_70018,c_24035]) ).
tcf(c_77874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70018,c_17825]) ).
tcf(c_77875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_70018,c_17392]) ).
tcf(c_77876,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_70018,c_14477]) ).
tcf(c_77877,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70018,c_5155]) ).
tcf(c_77882,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70018,c_145]) ).
tcf(c_77884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),X0) ),
inference(superposition,[status(thm)],[c_70018,c_70]) ).
tcf(c_77885,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ( sdtpldt0(sdtasdt0(xm,sK1),X0) != sdtasdt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_70018,c_76]) ).
tcf(c_77886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(sdtasdt0(xm,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70018,c_68]) ).
tcf(c_77887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,sK1),X0),sdtasdt0(xm,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_70018,c_68]) ).
tcf(c_77889,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,sK1) ) ),
inference(superposition,[status(thm)],[c_70018,c_77]) ).
tcf(c_77890,plain,
sdtlseqdt0(sdtasdt0(xm,sK1),sdtasdt0(xm,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_77882,c_103,c_69923]) ).
tcf(c_77891,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77877,c_103,c_69923]) ).
tcf(c_77894,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77889,c_103,c_69923]) ).
tcf(c_77898,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,sK1),X0) != sdtasdt0(xm,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77885,c_103,c_69923]) ).
tcf(c_77903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(sdtasdt0(xm,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77886,c_103,c_69923]) ).
tcf(c_77908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77884,c_103,c_69923]) ).
tcf(c_77913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77871,c_103,c_69923]) ).
tcf(c_77918,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77876,c_103,c_69923]) ).
tcf(c_77923,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77873,c_103,c_69923]) ).
tcf(c_77929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77875,c_103,c_69923]) ).
tcf(c_77937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77874,c_103,c_69923]) ).
tcf(c_77947,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_77890,c_8700]) ).
tcf(c_77950,plain,
( ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77890,c_73]) ).
tcf(c_77951,plain,
sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),sdtasdt0(xm,sK1))) = sdtasdt0(xm,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_77950,c_69923]) ).
tcf(c_77982,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_65347,c_109]) ).
tcf(c_77986,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_65347,c_110]) ).
tcf(c_77987,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_65347,c_73]) ).
tcf(c_77988,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77987,c_50,c_16168]) ).
tcf(c_77991,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ( sdtpldt0(xl,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77986,c_50,c_16168]) ).
tcf(c_77995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_77982,c_50,c_16168]) ).
tcf(c_78004,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_65350,c_109]) ).
tcf(c_78008,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_65350,c_110]) ).
tcf(c_78009,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_65350,c_73]) ).
tcf(c_78010,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78009,c_50,c_14856]) ).
tcf(c_78013,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ( sdtpldt0(xl,xn) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78008,c_50,c_14856]) ).
tcf(c_78017,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78004,c_50,c_14856]) ).
tcf(c_78026,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_65353,c_109]) ).
tcf(c_78030,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_65353,c_110]) ).
tcf(c_78031,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_65353,c_73]) ).
tcf(c_78032,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78031,c_50,c_14661]) ).
tcf(c_78035,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ( sdtpldt0(xl,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78030,c_50,c_14661,c_14662]) ).
tcf(c_78038,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78026,c_50,c_14661]) ).
tcf(c_78143,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_65356,c_109]) ).
tcf(c_78147,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_65356,c_110]) ).
tcf(c_78148,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_65356,c_73]) ).
tcf(c_78149,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78148,c_50,c_16905]) ).
tcf(c_78152,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78147,c_50,c_16905]) ).
tcf(c_78156,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78143,c_50,c_16905]) ).
tcf(c_78177,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76792,c_109]) ).
tcf(c_78178,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_76792,c_11962]) ).
tcf(c_78179,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_76792,c_8700]) ).
tcf(c_78180,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_76792,c_3979]) ).
tcf(c_78181,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76792,c_110]) ).
tcf(c_78182,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_76792,c_73]) ).
tcf(c_78183,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(superposition,[status(thm)],[c_76792,c_5863]) ).
tcf(c_78186,plain,
( sdtlseqdt0(sdtasdt0(xm,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78179,c_69208]) ).
tcf(c_78192,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78177,c_69208]) ).
tcf(c_78199,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78183,c_69208]) ).
tcf(c_78205,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78182,c_69208]) ).
tcf(c_78210,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78181,c_69208]) ).
tcf(c_78226,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77918,c_109]) ).
tcf(c_78227,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_77918,c_11962]) ).
tcf(c_78228,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_77918,c_8700]) ).
tcf(c_78229,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_77918,c_3979]) ).
tcf(c_78230,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77918,c_110]) ).
tcf(c_78231,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_77918,c_73]) ).
tcf(c_78232,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(superposition,[status(thm)],[c_77918,c_5863]) ).
tcf(c_78235,plain,
( sdtlseqdt0(sdtasdt0(xm,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78228,c_69923]) ).
tcf(c_78241,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78226,c_69923]) ).
tcf(c_78248,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78232,c_69923]) ).
tcf(c_78254,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78231,c_69923]) ).
tcf(c_78259,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78230,c_69923]) ).
tcf(c_78267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_70]) ).
tcf(c_78268,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_75392]) ).
tcf(c_78269,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(superposition,[status(thm)],[c_23373,c_24035]) ).
tcf(c_78270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(superposition,[status(thm)],[c_23373,c_17825]) ).
tcf(c_78271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(superposition,[status(thm)],[c_23373,c_17392]) ).
tcf(c_78272,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(superposition,[status(thm)],[c_23373,c_14477]) ).
tcf(c_78273,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_5155]) ).
tcf(c_78276,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23373,c_75]) ).
tcf(c_78278,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_145]) ).
tcf(c_78279,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_84]) ).
tcf(c_78280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) ),
inference(superposition,[status(thm)],[c_23373,c_70]) ).
tcf(c_78281,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) ) ),
inference(superposition,[status(thm)],[c_23373,c_76]) ).
tcf(c_78282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_68]) ).
tcf(c_78283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_68]) ).
tcf(c_78284,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_98]) ).
tcf(c_78285,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_23373,c_77]) ).
tcf(c_78286,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(forward_subsumption_resolution,[status(thm)],[c_78279,c_49,c_23228]) ).
tcf(c_78287,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(forward_subsumption_resolution,[status(thm)],[c_78278,c_49,c_23228]) ).
tcf(c_78288,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_78276,c_58,c_49,c_23228]) ).
tcf(c_78289,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78273,c_49,c_23228]) ).
tcf(c_78292,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78285,c_49,c_23228]) ).
tcf(c_78296,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78284,c_49,c_23228]) ).
tcf(c_78301,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78281,c_49,c_23228]) ).
tcf(c_78305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78283,c_49,c_23228]) ).
tcf(c_78310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78282,c_49,c_23228]) ).
tcf(c_78315,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78268,c_49,c_23228]) ).
tcf(c_78320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78280,c_49,c_23228]) ).
tcf(c_78325,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78272,c_49,c_23228]) ).
tcf(c_78330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78267,c_49,c_23228]) ).
tcf(c_78335,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78269,c_49,c_23228]) ).
tcf(c_78341,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78271,c_49,c_23228]) ).
tcf(c_78349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78270,c_49,c_23228]) ).
tcf(c_78365,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_78286,c_13871]) ).
tcf(c_78366,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2776]) ).
tcf(c_78367,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2775]) ).
tcf(c_78368,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2709]) ).
tcf(c_78369,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2705]) ).
tcf(c_78370,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2704]) ).
tcf(c_78371,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2703]) ).
tcf(c_78372,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2702]) ).
tcf(c_78373,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2701]) ).
tcf(c_78374,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2700]) ).
tcf(c_78375,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2699]) ).
tcf(c_78376,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_78286,c_79]) ).
tcf(c_78377,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_78286,c_78]) ).
tcf(c_78378,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_78286,c_95]) ).
tcf(c_78379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_78286,c_82]) ).
tcf(c_78380,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_78286,c_152]) ).
tcf(c_78381,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_78286,c_96]) ).
tcf(c_78382,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_78286,c_83]) ).
tcf(c_78383,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sz00,
inference(superposition,[status(thm)],[c_78286,c_94]) ).
tcf(c_78384,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) = sz00,
inference(superposition,[status(thm)],[c_78286,c_93]) ).
tcf(c_78385,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_78286,c_81]) ).
tcf(c_78386,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_78286,c_80]) ).
tcf(c_78415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sdtasdt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71443,c_70]) ).
tcf(c_78418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_71443,c_17825]) ).
tcf(c_78419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71443,c_17392]) ).
tcf(c_78420,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_71443,c_14477]) ).
tcf(c_78426,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71443,c_145]) ).
tcf(c_78428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71443,c_70]) ).
tcf(c_78429,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_71443,c_76]) ).
tcf(c_78430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_71443,c_68]) ).
tcf(c_78431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71443,c_68]) ).
tcf(c_78433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(X0,sdtasdt0(xm,xp)) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_71443,c_77]) ).
tcf(c_78435,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_51524]) ).
tcf(c_78436,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_49956]) ).
tcf(c_78437,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71443,c_47638]) ).
tcf(c_78438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_41879]) ).
tcf(c_78439,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_46832]) ).
tcf(c_78440,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_43963]) ).
tcf(c_78441,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_43470]) ).
tcf(c_78442,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_43085]) ).
tcf(c_78443,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_42039]) ).
tcf(c_78444,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_35146]) ).
tcf(c_78445,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_26041]) ).
tcf(c_78446,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_26044]) ).
tcf(c_78447,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_71443,c_26052]) ).
tcf(c_78448,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_15930]) ).
tcf(c_78449,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_15792]) ).
tcf(c_78450,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_24215]) ).
tcf(c_78451,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_24215]) ).
tcf(c_78452,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_15931]) ).
tcf(c_78453,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_24885]) ).
tcf(c_78454,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_15793]) ).
tcf(c_78455,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_71443,c_8652]) ).
tcf(c_78456,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_45030]) ).
tcf(c_78457,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_78426,c_103,c_71319]) ).
tcf(c_78458,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xp)) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78433,c_103,c_71319]) ).
tcf(c_78462,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78429,c_103,c_71319]) ).
tcf(c_78466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sdtasdt0(xm,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78428,c_103,c_71319]) ).
tcf(c_78472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78431,c_103,c_71319]) ).
tcf(c_78477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78430,c_103,c_71319]) ).
tcf(c_78482,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78420,c_103,c_71319]) ).
tcf(c_78487,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,xp) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78455,c_71319]) ).
tcf(c_78492,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78454,c_71319]) ).
tcf(c_78498,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78452,c_71319]) ).
tcf(c_78504,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78451,c_71443]) ).
tcf(c_78505,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78504,c_71319]) ).
tcf(c_78513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78418,c_103,c_71319]) ).
tcf(c_78521,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78449,c_71319]) ).
tcf(c_78528,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78448,c_71319]) ).
tcf(c_78535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78419,c_103,c_71319]) ).
tcf(c_78550,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78447,c_71443]) ).
tcf(c_78551,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78550,c_71319]) ).
tcf(c_78557,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78446,c_71443]) ).
tcf(c_78558,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78557,c_71319]) ).
tcf(c_78565,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78444,c_71319]) ).
tcf(c_78573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78445,c_71443]) ).
tcf(c_78574,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78573,c_71319]) ).
tcf(c_78582,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78439,c_71443]) ).
tcf(c_78583,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78582,c_71319]) ).
tcf(c_78590,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp)) ),
inference(light_normalisation,[status(thm)],[c_78437,c_71443]) ).
tcf(c_78591,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78590,c_71319]) ).
tcf(c_78598,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78443,c_71443]) ).
tcf(c_78599,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78598,c_71319]) ).
tcf(c_78607,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78442,c_71319]) ).
tcf(c_78615,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78441,c_71319]) ).
tcf(c_78623,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78440,c_71319]) ).
tcf(c_78630,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78456,c_71443]) ).
tcf(c_78631,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78630,c_71319]) ).
tcf(c_78640,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78436,c_71443]) ).
tcf(c_78641,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78640,c_71319]) ).
tcf(c_78649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78438,c_71443]) ).
tcf(c_78650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78649,c_71319]) ).
tcf(c_78660,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_78435,c_71443]) ).
tcf(c_78661,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78660,c_71319]) ).
tcf(c_78991,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_78457,c_109]) ).
tcf(c_78995,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_78457,c_110]) ).
tcf(c_78996,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_78457,c_73]) ).
tcf(c_78997,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_78996,c_103,c_71319]) ).
tcf(c_78998,plain,
( ( sdtasdt0(xm,xp) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78995,c_103,c_71319]) ).
tcf(c_79001,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78991,c_103,c_71319]) ).
tcf(c_79005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71444,c_70]) ).
tcf(c_79007,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_71444,c_24035]) ).
tcf(c_79008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71444,c_17825]) ).
tcf(c_79009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_71444,c_17392]) ).
tcf(c_79010,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_71444,c_14477]) ).
tcf(c_79011,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71444,c_5155]) ).
tcf(c_79016,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71444,c_145]) ).
tcf(c_79018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_71444,c_70]) ).
tcf(c_79019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(sdtasdt0(xm,xp),X0) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_71444,c_76]) ).
tcf(c_79020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71444,c_68]) ).
tcf(c_79021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sdtasdt0(xm,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71444,c_68]) ).
tcf(c_79023,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_71444,c_77]) ).
tcf(c_79024,plain,
sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_79016,c_103,c_71319]) ).
tcf(c_79025,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79011,c_103,c_71319]) ).
tcf(c_79028,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79023,c_103,c_71319]) ).
tcf(c_79032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xp),X0) != sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79019,c_103,c_71319]) ).
tcf(c_79037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(sdtasdt0(xm,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79020,c_103,c_71319]) ).
tcf(c_79042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79018,c_103,c_71319]) ).
tcf(c_79047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79005,c_103,c_71319]) ).
tcf(c_79052,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79010,c_103,c_71319]) ).
tcf(c_79057,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79007,c_103,c_71319]) ).
tcf(c_79063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79009,c_103,c_71319]) ).
tcf(c_79071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79008,c_103,c_71319]) ).
tcf(c_79229,plain,
( sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),sz00) ),
inference(superposition,[status(thm)],[c_79024,c_8700]) ).
tcf(c_79232,plain,
( ( sdtpldt0(sdtasdt0(xm,xp),sK2(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_79024,c_73]) ).
tcf(c_79233,plain,
sdtpldt0(sdtasdt0(xm,xp),sK2(sdtasdt0(xm,xp),sdtasdt0(xm,xp))) = sdtasdt0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_79232,c_71319]) ).
tcf(c_79239,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_67461,c_109]) ).
tcf(c_79243,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(xp,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_67461,c_110]) ).
tcf(c_79244,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sK2(sdtasdt0(xl,xm),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_67461,c_73]) ).
tcf(c_79245,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_67461,c_61224]) ).
tcf(c_79246,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79245,c_61931]) ).
tcf(c_79249,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sK2(sdtasdt0(xl,xm),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79244,c_59,c_61931]) ).
tcf(c_79252,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79243,c_59,c_61931]) ).
tcf(c_79256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79239,c_59,c_61931]) ).
tcf(c_79265,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67936,c_109]) ).
tcf(c_79269,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(xp,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67936,c_110]) ).
tcf(c_79270,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67936,c_73]) ).
tcf(c_79271,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_67936,c_61224]) ).
tcf(c_79272,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79271,c_62562]) ).
tcf(c_79275,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79270,c_59,c_62562]) ).
tcf(c_79278,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79269,c_59,c_62562]) ).
tcf(c_79282,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79265,c_59,c_62562]) ).
tcf(c_79287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xq)),sdtasdt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71719,c_70]) ).
tcf(c_79290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_71719,c_17825]) ).
tcf(c_79291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71719,c_17392]) ).
tcf(c_79292,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_71719,c_14477]) ).
tcf(c_79298,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71719,c_145]) ).
tcf(c_79300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71719,c_70]) ).
tcf(c_79301,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_71719,c_76]) ).
tcf(c_79302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_71719,c_68]) ).
tcf(c_79303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71719,c_68]) ).
tcf(c_79305,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(X0,sdtasdt0(xm,xq)) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_71719,c_77]) ).
tcf(c_79307,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_51524]) ).
tcf(c_79308,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_49956]) ).
tcf(c_79309,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71719,c_47638]) ).
tcf(c_79310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_41879]) ).
tcf(c_79311,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_46832]) ).
tcf(c_79312,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_43963]) ).
tcf(c_79313,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_43470]) ).
tcf(c_79314,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_43085]) ).
tcf(c_79315,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_42039]) ).
tcf(c_79316,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_35146]) ).
tcf(c_79317,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_26041]) ).
tcf(c_79318,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_26044]) ).
tcf(c_79319,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_71719,c_26052]) ).
tcf(c_79320,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_15930]) ).
tcf(c_79322,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_24215]) ).
tcf(c_79323,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xm,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_24215]) ).
tcf(c_79324,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_15931]) ).
tcf(c_79325,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_24885]) ).
tcf(c_79326,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_15793]) ).
tcf(c_79327,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_71719,c_8652]) ).
tcf(c_79328,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_45030]) ).
tcf(c_79329,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_79298,c_103,c_71595]) ).
tcf(c_79330,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xq)) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79305,c_103,c_71595]) ).
tcf(c_79334,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79301,c_103,c_71595]) ).
tcf(c_79338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sdtasdt0(xm,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79300,c_103,c_71595]) ).
tcf(c_79344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79303,c_103,c_71595]) ).
tcf(c_79349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79302,c_103,c_71595]) ).
tcf(c_79354,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79292,c_103,c_71595]) ).
tcf(c_79359,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xm,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79327,c_71595]) ).
tcf(c_79364,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79326,c_71595]) ).
tcf(c_79370,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79324,c_71595]) ).
tcf(c_79376,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79323,c_71719]) ).
tcf(c_79377,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79376,c_71595]) ).
tcf(c_79385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79290,c_103,c_71595]) ).
tcf(c_79393,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79320,c_71595]) ).
tcf(c_79400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79291,c_103,c_71595]) ).
tcf(c_79415,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79319,c_71719]) ).
tcf(c_79416,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79415,c_71595]) ).
tcf(c_79422,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79318,c_71719]) ).
tcf(c_79423,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79422,c_71595]) ).
tcf(c_79430,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79316,c_71595]) ).
tcf(c_79438,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79317,c_71719]) ).
tcf(c_79439,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79438,c_71595]) ).
tcf(c_79447,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79311,c_71719]) ).
tcf(c_79448,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79447,c_71595]) ).
tcf(c_79455,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq)) ),
inference(light_normalisation,[status(thm)],[c_79309,c_71719]) ).
tcf(c_79456,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79455,c_71595]) ).
tcf(c_79463,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79315,c_71719]) ).
tcf(c_79464,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79463,c_71595]) ).
tcf(c_79472,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79314,c_71595]) ).
tcf(c_79480,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79313,c_71595]) ).
tcf(c_79488,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79312,c_71595]) ).
tcf(c_79495,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79328,c_71719]) ).
tcf(c_79496,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79495,c_71595]) ).
tcf(c_79505,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79308,c_71719]) ).
tcf(c_79506,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79505,c_71595]) ).
tcf(c_79514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79310,c_71719]) ).
tcf(c_79515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79514,c_71595]) ).
tcf(c_79525,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_79307,c_71719]) ).
tcf(c_79526,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79525,c_71595]) ).
tcf(c_79545,plain,
~ sdtlseqdt0(sdtasdt0(xm,xp),sz00),
inference(global_subsumption_just,[status(thm)],[c_79052,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_71322,c_78998]) ).
tcf(c_79560,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_11984,c_78325]) ).
tcf(c_79562,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_108,c_78325]) ).
tcf(c_79597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_70]) ).
tcf(c_79600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_17825]) ).
tcf(c_79601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_17392]) ).
tcf(c_79602,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_14477]) ).
tcf(c_79608,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_145]) ).
tcf(c_79610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_70]) ).
tcf(c_79611,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_23383,c_76]) ).
tcf(c_79612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) ),
inference(superposition,[status(thm)],[c_23383,c_68]) ).
tcf(c_79613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_68]) ).
tcf(c_79615,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(superposition,[status(thm)],[c_23383,c_77]) ).
tcf(c_79617,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_51524]) ).
tcf(c_79618,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_49956]) ).
tcf(c_79619,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_47638]) ).
tcf(c_79620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_41879]) ).
tcf(c_79621,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_46832]) ).
tcf(c_79622,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_43963]) ).
tcf(c_79623,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_43470]) ).
tcf(c_79624,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_43085]) ).
tcf(c_79625,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_42039]) ).
tcf(c_79626,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_35146]) ).
tcf(c_79627,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_26041]) ).
tcf(c_79628,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_26044]) ).
tcf(c_79629,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_26052]) ).
tcf(c_79630,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_15930]) ).
tcf(c_79631,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_15792]) ).
tcf(c_79632,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_24215]) ).
tcf(c_79633,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_24215]) ).
tcf(c_79634,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_15931]) ).
tcf(c_79635,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_23383,c_24885]) ).
tcf(c_79636,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_15793]) ).
tcf(c_79637,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_23383,c_8652]) ).
tcf(c_79638,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23383,c_45030]) ).
tcf(c_79639,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_79608,c_103,c_23228]) ).
tcf(c_79640,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79615,c_103,c_23228]) ).
tcf(c_79644,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79611,c_103,c_23228]) ).
tcf(c_79648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79610,c_103,c_23228]) ).
tcf(c_79653,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79602,c_103,c_23228]) ).
tcf(c_79659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79613,c_103,c_23228]) ).
tcf(c_79664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79612,c_103,c_23228]) ).
tcf(c_79669,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79637,c_23228]) ).
tcf(c_79674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79600,c_103,c_23228]) ).
tcf(c_79682,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79636,c_23228]) ).
tcf(c_79688,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79634,c_23228]) ).
tcf(c_79694,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(light_normalisation,[status(thm)],[c_79633,c_23383]) ).
tcf(c_79695,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79694,c_23228]) ).
tcf(c_79703,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79631,c_23228]) ).
tcf(c_79710,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79630,c_23228]) ).
tcf(c_79717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79601,c_103,c_23228]) ).
tcf(c_79732,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_79629,c_23383]) ).
tcf(c_79733,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79732,c_23228]) ).
tcf(c_79740,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_79628,c_23383]) ).
tcf(c_79741,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79740,c_23228]) ).
tcf(c_79748,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(light_normalisation,[status(thm)],[c_79627,c_23383]) ).
tcf(c_79749,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79748,c_23228]) ).
tcf(c_79757,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_79621,c_23383]) ).
tcf(c_79758,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79757,c_23228]) ).
tcf(c_79765,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79624,c_23228]) ).
tcf(c_79773,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79623,c_23228]) ).
tcf(c_79781,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(light_normalisation,[status(thm)],[c_79619,c_23383]) ).
tcf(c_79782,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79781,c_23228]) ).
tcf(c_79789,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79622,c_23228]) ).
tcf(c_79796,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_79625,c_23383]) ).
tcf(c_79797,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79796,c_23228]) ).
tcf(c_79805,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(light_normalisation,[status(thm)],[c_79638,c_23383]) ).
tcf(c_79806,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79805,c_23228]) ).
tcf(c_79815,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_79618,c_23383]) ).
tcf(c_79816,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79815,c_23228]) ).
tcf(c_79824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_79620,c_23383]) ).
tcf(c_79825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79824,c_23228]) ).
tcf(c_79835,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(light_normalisation,[status(thm)],[c_79617,c_23383]) ).
tcf(c_79836,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79835,c_23228]) ).
tcf(c_79851,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_79329,c_109]) ).
tcf(c_79855,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_79329,c_110]) ).
tcf(c_79856,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_79329,c_73]) ).
tcf(c_79857,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_79856,c_103,c_71595]) ).
tcf(c_79858,plain,
( ( sdtasdt0(xm,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79855,c_103,c_71595]) ).
tcf(c_79861,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79851,c_103,c_71595]) ).
tcf(c_79934,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_79639,c_109]) ).
tcf(c_79938,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_79639,c_110]) ).
tcf(c_79939,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtpldt0(xl,sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_79639,c_73]) ).
tcf(c_79940,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79934,c_103,c_23228]) ).
tcf(c_79944,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtpldt0(xl,sdtpldt0(xl,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_79939,c_103,c_23228]) ).
tcf(c_79945,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_79938,c_23233,c_103,c_23228]) ).
tcf(c_79950,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71720,c_70]) ).
tcf(c_79952,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_71720,c_24035]) ).
tcf(c_79953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71720,c_17825]) ).
tcf(c_79954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_71720,c_17392]) ).
tcf(c_79955,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_71720,c_14477]) ).
tcf(c_79961,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71720,c_145]) ).
tcf(c_79963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_71720,c_70]) ).
tcf(c_79964,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(sdtasdt0(xm,xq),X0) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_71720,c_76]) ).
tcf(c_79965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71720,c_68]) ).
tcf(c_79966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xq),X0),sdtasdt0(xm,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_71720,c_68]) ).
tcf(c_79968,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_71720,c_77]) ).
tcf(c_79969,plain,
sdtlseqdt0(sdtasdt0(xm,xq),sdtasdt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_79961,c_103,c_71595]) ).
tcf(c_79970,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79968,c_103,c_71595]) ).
tcf(c_79974,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xq),X0) != sdtasdt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79964,c_103,c_71595]) ).
tcf(c_79979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(sdtasdt0(xm,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79965,c_103,c_71595]) ).
tcf(c_79984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79963,c_103,c_71595]) ).
tcf(c_79989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xq))
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79950,c_103,c_71595]) ).
tcf(c_79994,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79955,c_103,c_71595]) ).
tcf(c_79999,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79952,c_103,c_71595]) ).
tcf(c_80005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79954,c_103,c_71595]) ).
tcf(c_80013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79953,c_103,c_71595]) ).
tcf(c_80023,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_79969,c_8700]) ).
tcf(c_80026,plain,
( ( sdtpldt0(sdtasdt0(xm,xq),sK2(sdtasdt0(xm,xq),sdtasdt0(xm,xq))) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_79969,c_73]) ).
tcf(c_80027,plain,
sdtpldt0(sdtasdt0(xm,xq),sK2(sdtasdt0(xm,xq),sdtasdt0(xm,xq))) = sdtasdt0(xm,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_80026,c_71595]) ).
tcf(c_80033,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_75066,c_109]) ).
tcf(c_80037,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(xp,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_75066,c_110]) ).
tcf(c_80038,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_75066,c_73]) ).
tcf(c_80039,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_75066,c_61224]) ).
tcf(c_80040,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80039,c_68944]) ).
tcf(c_80043,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80038,c_59,c_68944]) ).
tcf(c_80046,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80037,c_59,c_68944]) ).
tcf(c_80050,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80033,c_59,c_68944]) ).
tcf(c_80059,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76765,c_109]) ).
tcf(c_80063,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(xp,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76765,c_110]) ).
tcf(c_80064,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76765,c_73]) ).
tcf(c_80065,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),xm)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_76765,c_61224]) ).
tcf(c_80066,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtasdt0(xm,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80065,c_69208]) ).
tcf(c_80069,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80064,c_59,c_69208]) ).
tcf(c_80072,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80063,c_59,c_69208]) ).
tcf(c_80076,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80059,c_59,c_69208]) ).
tcf(c_80085,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77891,c_109]) ).
tcf(c_80089,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(xp,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77891,c_110]) ).
tcf(c_80090,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77891,c_73]) ).
tcf(c_80091,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),xm)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_77891,c_61224]) ).
tcf(c_80092,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtasdt0(xm,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80091,c_69923]) ).
tcf(c_80095,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80090,c_59,c_69923]) ).
tcf(c_80098,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80089,c_59,c_69923]) ).
tcf(c_80102,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80085,c_59,c_69923]) ).
tcf(c_80115,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_79994,c_109]) ).
tcf(c_80116,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_79994,c_11962]) ).
tcf(c_80117,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_79994,c_8700]) ).
tcf(c_80118,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_79994,c_3979]) ).
tcf(c_80119,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_79994,c_110]) ).
tcf(c_80120,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,xq),sK2(sdtasdt0(xm,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_79994,c_73]) ).
tcf(c_80121,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(superposition,[status(thm)],[c_79994,c_5863]) ).
tcf(c_80124,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80117,c_71595]) ).
tcf(c_80130,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80115,c_71595]) ).
tcf(c_80137,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80121,c_71595]) ).
tcf(c_80143,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xm,xq),sK2(sdtasdt0(xm,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80120,c_71595]) ).
tcf(c_80148,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80119,c_71595]) ).
tcf(c_80196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23384,c_70]) ).
tcf(c_80202,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23384,c_5155]) ).
tcf(c_80207,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23384,c_145]) ).
tcf(c_80209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) ),
inference(superposition,[status(thm)],[c_23384,c_70]) ).
tcf(c_80210,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(superposition,[status(thm)],[c_23384,c_76]) ).
tcf(c_80211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23384,c_68]) ).
tcf(c_80212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23384,c_68]) ).
tcf(c_80214,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_23384,c_77]) ).
tcf(c_80215,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_80207,c_103,c_23228]) ).
tcf(c_80216,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80202,c_103,c_23228]) ).
tcf(c_80219,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80214,c_103,c_23228]) ).
tcf(c_80223,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80210,c_103,c_23228]) ).
tcf(c_80228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80211,c_103,c_23228]) ).
tcf(c_80233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80209,c_103,c_23228]) ).
tcf(c_80238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80196,c_103,c_23228]) ).
tcf(c_80250,plain,
sdtasdt0(xn,sK0) = sdtasdt0(sK0,xn),
inference(superposition,[status(thm)],[c_52,c_2777]) ).
tcf(c_80251,plain,
sdtasdt0(xn,sK1) = sdtasdt0(sK1,xn),
inference(superposition,[status(thm)],[c_55,c_2777]) ).
tcf(c_80252,plain,
sdtasdt0(xn,xp) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_59,c_2777]) ).
tcf(c_80253,plain,
sdtasdt0(xn,xq) = sdtasdt0(xq,xn),
inference(superposition,[status(thm)],[c_62,c_2777]) ).
tcf(c_80254,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2777]) ).
tcf(c_80255,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),xn) = sdtasdt0(xn,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2777]) ).
tcf(c_80256,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2777]) ).
tcf(c_80257,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),xn) = sdtasdt0(xn,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2777]) ).
tcf(c_80258,plain,
sdtasdt0(xn,sz00) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_103,c_2777]) ).
tcf(c_80259,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_105,c_2777]) ).
tcf(c_80260,plain,
sdtasdt0(sdtasdt0(xl,xq),xn) = sdtasdt0(xn,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2777]) ).
tcf(c_80261,plain,
sdtasdt0(sdtpldt0(xp,xq),xn) = sdtasdt0(xn,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2777]) ).
tcf(c_80262,plain,
sdtasdt0(sdtpldt0(xl,xm),xn) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2777]) ).
tcf(c_80263,plain,
sdtasdt0(sdtpldt0(xl,xn),xn) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2777]) ).
tcf(c_80264,plain,
sdtasdt0(sdtpldt0(xl,sK0),xn) = sdtasdt0(xn,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2777]) ).
tcf(c_80265,plain,
sdtasdt0(sdtpldt0(xl,sK1),xn) = sdtasdt0(xn,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2777]) ).
tcf(c_80266,plain,
sdtasdt0(sdtpldt0(xl,xp),xn) = sdtasdt0(xn,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2777]) ).
tcf(c_80267,plain,
sdtasdt0(sdtpldt0(xl,xq),xn) = sdtasdt0(xn,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2777]) ).
tcf(c_80268,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2777]) ).
tcf(c_80269,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2777]) ).
tcf(c_80270,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2777]) ).
tcf(c_80271,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2777]) ).
tcf(c_80272,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2777]) ).
tcf(c_80273,plain,
sdtasdt0(sdtpldt0(xm,sK0),xn) = sdtasdt0(xn,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2777]) ).
tcf(c_80274,plain,
sdtasdt0(sdtpldt0(xm,sK1),xn) = sdtasdt0(xn,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2777]) ).
tcf(c_80275,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2777]) ).
tcf(c_80276,plain,
sdtasdt0(sdtpldt0(xm,xp),xn) = sdtasdt0(xn,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2777]) ).
tcf(c_80277,plain,
sdtasdt0(sdtpldt0(xm,xq),xn) = sdtasdt0(xn,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2777]) ).
tcf(c_80278,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2777]) ).
tcf(c_80279,plain,
sdtasdt0(sdtpldt0(xn,sK0),xn) = sdtasdt0(xn,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2777]) ).
tcf(c_80280,plain,
sdtasdt0(sdtpldt0(xn,sK1),xn) = sdtasdt0(xn,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2777]) ).
tcf(c_80281,plain,
sdtasdt0(sdtpldt0(xn,xp),xn) = sdtasdt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2777]) ).
tcf(c_80282,plain,
sdtasdt0(sdtpldt0(xn,xq),xn) = sdtasdt0(xn,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2777]) ).
tcf(c_80283,plain,
sdtasdt0(sdtpldt0(sK0,sK1),xn) = sdtasdt0(xn,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2777]) ).
tcf(c_80284,plain,
sdtasdt0(sdtpldt0(xp,sK0),xn) = sdtasdt0(xn,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2777]) ).
tcf(c_80285,plain,
sdtasdt0(sdtpldt0(xq,sK0),xn) = sdtasdt0(xn,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2777]) ).
tcf(c_80286,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2777]) ).
tcf(c_80287,plain,
sdtasdt0(sdtpldt0(xp,sK1),xn) = sdtasdt0(xn,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2777]) ).
tcf(c_80288,plain,
sdtasdt0(sdtpldt0(xq,sK1),xn) = sdtasdt0(xn,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2777]) ).
tcf(c_80289,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2777]) ).
tcf(c_80290,plain,
sdtasdt0(sdtasdt0(xl,xm),xn) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2777]) ).
tcf(c_80291,plain,
sdtasdt0(sdtasdt0(xl,xn),xn) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2777]) ).
tcf(c_80292,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2777]) ).
tcf(c_80293,plain,
sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2777]) ).
tcf(c_80294,plain,
sdtasdt0(sdtasdt0(xm,sK0),xn) = sdtasdt0(xn,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2777]) ).
tcf(c_80295,plain,
sdtasdt0(sdtasdt0(xm,sK1),xn) = sdtasdt0(xn,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2777]) ).
tcf(c_80296,plain,
sdtasdt0(sdtasdt0(xm,xp),xn) = sdtasdt0(xn,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2777]) ).
tcf(c_80297,plain,
sdtasdt0(sdtasdt0(xm,xq),xn) = sdtasdt0(xn,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2777]) ).
tcf(c_80298,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2777]) ).
tcf(c_80601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_80250,c_89]) ).
tcf(c_80603,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80250,c_27527]) ).
tcf(c_80604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80250,c_18982]) ).
tcf(c_80605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80250,c_18291]) ).
tcf(c_80606,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80250,c_15630]) ).
tcf(c_80608,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_80250,c_91]) ).
tcf(c_80609,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( xn = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80250,c_5229]) ).
tcf(c_80610,plain,
( ( sK0 = sz00 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_80250,c_90]) ).
tcf(c_80611,plain,
( doDivides0(sK0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80250,c_142]) ).
tcf(c_80612,plain,
( aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80250,c_97]) ).
tcf(c_80613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_80250,c_87]) ).
tcf(c_80614,plain,
( sdtlseqdt0(sK0,sdtasdt0(xn,sK0))
| ( xn = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80250,c_85]) ).
tcf(c_80615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xn,sK0))
| ( sK0 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_80250,c_87]) ).
tcf(c_80616,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_80250,c_92]) ).
tcf(c_80617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,sK0))
| ( xn = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_80250,c_89]) ).
tcf(c_80618,plain,
aNaturalNumber0(sdtasdt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_80612,c_52,c_51]) ).
tcf(c_80619,plain,
doDivides0(sK0,sdtasdt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_80611,c_52,c_51]) ).
tcf(c_80620,plain,
( sdtlseqdt0(sK0,sdtasdt0(xn,sK0))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80614,c_52,c_51]) ).
tcf(c_80623,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80609,c_52,c_51]) ).
tcf(c_80627,plain,
( ( sK0 = sz00 )
| ( xn = sz00 )
| ( sdtasdt0(xn,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80610,c_52,c_51]) ).
tcf(c_80631,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80616,c_52,c_51]) ).
tcf(c_80636,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80608,c_52,c_51]) ).
tcf(c_80641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,sK0))
| ( xn = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80617,c_52,c_51]) ).
tcf(c_80647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xn,sK0))
| ( sK0 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80615,c_52,c_51]) ).
tcf(c_80653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80613,c_52,c_51]) ).
tcf(c_80659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80601,c_52,c_51]) ).
tcf(c_80665,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80606,c_52,c_51]) ).
tcf(c_80671,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80603,c_52,c_51]) ).
tcf(c_80678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80605,c_52,c_51]) ).
tcf(c_80687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80604,c_52,c_51]) ).
tcf(c_80751,plain,
sdtasdt0(sdtasdt0(xn,sK0),xn) = sdtasdt0(xn,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2777]) ).
tcf(c_80752,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0) )
| ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_80618,c_13871]) ).
tcf(c_80753,plain,
sdtasdt0(sdtasdt0(xn,sK0),xm) = sdtasdt0(xm,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2776]) ).
tcf(c_80754,plain,
sdtasdt0(sdtasdt0(xn,sK0),xl) = sdtasdt0(xl,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2775]) ).
tcf(c_80755,plain,
sdtpldt0(sdtasdt0(xn,sK0),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2709]) ).
tcf(c_80756,plain,
sdtpldt0(sdtasdt0(xn,sK0),xq) = sdtpldt0(xq,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2705]) ).
tcf(c_80757,plain,
sdtpldt0(sdtasdt0(xn,sK0),xp) = sdtpldt0(xp,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2704]) ).
tcf(c_80758,plain,
sdtpldt0(sdtasdt0(xn,sK0),sK1) = sdtpldt0(sK1,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2703]) ).
tcf(c_80759,plain,
sdtpldt0(sdtasdt0(xn,sK0),sK0) = sdtpldt0(sK0,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2702]) ).
tcf(c_80760,plain,
sdtpldt0(sdtasdt0(xn,sK0),xn) = sdtpldt0(xn,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2701]) ).
tcf(c_80761,plain,
sdtpldt0(sdtasdt0(xn,sK0),xm) = sdtpldt0(xm,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2700]) ).
tcf(c_80762,plain,
sdtpldt0(sdtasdt0(xn,sK0),xl) = sdtpldt0(xl,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2699]) ).
tcf(c_80763,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,sK0)),sdtasdt0(X0,sdtasdt0(xn,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80618,c_79]) ).
tcf(c_80764,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sK0),X1),sdtasdt0(sdtasdt0(xn,sK0),X0)) = sdtasdt0(sdtasdt0(xn,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80618,c_78]) ).
tcf(c_80765,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sK0),X1),X0) = sdtasdt0(sdtasdt0(xn,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80618,c_95]) ).
tcf(c_80766,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sK0),X1),X0) = sdtpldt0(sdtasdt0(xn,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80618,c_82]) ).
tcf(c_80767,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sK0),X0),sdtasdt0(xn,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80618,c_152]) ).
tcf(c_80768,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sK0),X0) = sdtasdt0(X0,sdtasdt0(xn,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80618,c_96]) ).
tcf(c_80769,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sK0),X0) = sdtpldt0(X0,sdtasdt0(xn,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80618,c_83]) ).
tcf(c_80770,plain,
sdtasdt0(sz00,sdtasdt0(xn,sK0)) = sz00,
inference(superposition,[status(thm)],[c_80618,c_94]) ).
tcf(c_80771,plain,
sdtasdt0(sdtasdt0(xn,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_80618,c_93]) ).
tcf(c_80772,plain,
sdtpldt0(sz00,sdtasdt0(xn,sK0)) = sdtasdt0(xn,sK0),
inference(superposition,[status(thm)],[c_80618,c_81]) ).
tcf(c_80773,plain,
sdtpldt0(sdtasdt0(xn,sK0),sz00) = sdtasdt0(xn,sK0),
inference(superposition,[status(thm)],[c_80618,c_80]) ).
tcf(c_80841,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xn,sK0),sK0)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80619,c_106]) ).
tcf(c_80842,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ doDivides0(sdtasdt0(xn,sK0),X0) ),
inference(superposition,[status(thm)],[c_80619,c_99]) ).
tcf(c_80843,plain,
( ( sdtasdt0(sK0,sK3(sK0,sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80619,c_102]) ).
tcf(c_80844,plain,
sdtasdt0(sK0,sK3(sK0,sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_80843,c_52,c_80618]) ).
tcf(c_80845,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80842,c_52,c_80618]) ).
tcf(c_80849,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xn,sK0),sK0)) = sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80841,c_52,c_80618]) ).
tcf(c_80852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_80251,c_89]) ).
tcf(c_80854,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_80251,c_27527]) ).
tcf(c_80855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_80251,c_18982]) ).
tcf(c_80856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_80251,c_18291]) ).
tcf(c_80857,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_80251,c_15630]) ).
tcf(c_80859,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_80251,c_91]) ).
tcf(c_80860,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( xn = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80251,c_5229]) ).
tcf(c_80861,plain,
( ( sK1 = sz00 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_80251,c_90]) ).
tcf(c_80862,plain,
( doDivides0(sK1,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80251,c_142]) ).
tcf(c_80863,plain,
( aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80251,c_97]) ).
tcf(c_80864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_80251,c_87]) ).
tcf(c_80865,plain,
( sdtlseqdt0(sK1,sdtasdt0(xn,sK1))
| ( xn = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80251,c_85]) ).
tcf(c_80866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xn,sK1))
| ( sK1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_80251,c_87]) ).
tcf(c_80867,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_80251,c_92]) ).
tcf(c_80868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,sK1))
| ( xn = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_80251,c_89]) ).
tcf(c_80869,plain,
aNaturalNumber0(sdtasdt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_80863,c_55,c_51]) ).
tcf(c_80870,plain,
doDivides0(sK1,sdtasdt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_80862,c_55,c_51]) ).
tcf(c_80871,plain,
( sdtlseqdt0(sK1,sdtasdt0(xn,sK1))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80865,c_55,c_51]) ).
tcf(c_80874,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80860,c_55,c_51]) ).
tcf(c_80878,plain,
( ( sK1 = sz00 )
| ( xn = sz00 )
| ( sdtasdt0(xn,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80861,c_55,c_51]) ).
tcf(c_80882,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80867,c_55,c_51]) ).
tcf(c_80887,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80859,c_55,c_51]) ).
tcf(c_80892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,sK1))
| ( xn = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80868,c_55,c_51]) ).
tcf(c_80898,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xn,sK1))
| ( sK1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80866,c_55,c_51]) ).
tcf(c_80904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80864,c_55,c_51]) ).
tcf(c_80910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80852,c_55,c_51]) ).
tcf(c_80916,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80857,c_55,c_51]) ).
tcf(c_80922,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80854,c_55,c_51]) ).
tcf(c_80929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80856,c_55,c_51]) ).
tcf(c_80938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80855,c_55,c_51]) ).
tcf(c_81035,plain,
sdtasdt0(sdtasdt0(xn,sK1),xn) = sdtasdt0(xn,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2777]) ).
tcf(c_81036,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1) )
| ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_80869,c_13871]) ).
tcf(c_81037,plain,
sdtasdt0(sdtasdt0(xn,sK1),xm) = sdtasdt0(xm,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2776]) ).
tcf(c_81038,plain,
sdtasdt0(sdtasdt0(xn,sK1),xl) = sdtasdt0(xl,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2775]) ).
tcf(c_81039,plain,
sdtpldt0(sdtasdt0(xn,sK1),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2709]) ).
tcf(c_81040,plain,
sdtpldt0(sdtasdt0(xn,sK1),xq) = sdtpldt0(xq,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2705]) ).
tcf(c_81041,plain,
sdtpldt0(sdtasdt0(xn,sK1),xp) = sdtpldt0(xp,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2704]) ).
tcf(c_81042,plain,
sdtpldt0(sdtasdt0(xn,sK1),sK1) = sdtpldt0(sK1,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2703]) ).
tcf(c_81043,plain,
sdtpldt0(sdtasdt0(xn,sK1),sK0) = sdtpldt0(sK0,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2702]) ).
tcf(c_81044,plain,
sdtpldt0(sdtasdt0(xn,sK1),xn) = sdtpldt0(xn,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2701]) ).
tcf(c_81045,plain,
sdtpldt0(sdtasdt0(xn,sK1),xm) = sdtpldt0(xm,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2700]) ).
tcf(c_81046,plain,
sdtpldt0(sdtasdt0(xn,sK1),xl) = sdtpldt0(xl,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2699]) ).
tcf(c_81047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,sK1)),sdtasdt0(X0,sdtasdt0(xn,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80869,c_79]) ).
tcf(c_81048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sK1),X1),sdtasdt0(sdtasdt0(xn,sK1),X0)) = sdtasdt0(sdtasdt0(xn,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80869,c_78]) ).
tcf(c_81049,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sK1),X1),X0) = sdtasdt0(sdtasdt0(xn,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80869,c_95]) ).
tcf(c_81050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sK1),X1),X0) = sdtpldt0(sdtasdt0(xn,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80869,c_82]) ).
tcf(c_81051,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sK1),X0),sdtasdt0(xn,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80869,c_152]) ).
tcf(c_81052,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sK1),X0) = sdtasdt0(X0,sdtasdt0(xn,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80869,c_96]) ).
tcf(c_81053,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sK1),X0) = sdtpldt0(X0,sdtasdt0(xn,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80869,c_83]) ).
tcf(c_81054,plain,
sdtasdt0(sz00,sdtasdt0(xn,sK1)) = sz00,
inference(superposition,[status(thm)],[c_80869,c_94]) ).
tcf(c_81055,plain,
sdtasdt0(sdtasdt0(xn,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_80869,c_93]) ).
tcf(c_81056,plain,
sdtpldt0(sz00,sdtasdt0(xn,sK1)) = sdtasdt0(xn,sK1),
inference(superposition,[status(thm)],[c_80869,c_81]) ).
tcf(c_81057,plain,
sdtpldt0(sdtasdt0(xn,sK1),sz00) = sdtasdt0(xn,sK1),
inference(superposition,[status(thm)],[c_80869,c_80]) ).
tcf(c_81086,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xn,sK1),sK1)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_80870,c_106]) ).
tcf(c_81087,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ doDivides0(sdtasdt0(xn,sK1),X0) ),
inference(superposition,[status(thm)],[c_80870,c_99]) ).
tcf(c_81088,plain,
( ( sdtasdt0(sK1,sK3(sK1,sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_80870,c_102]) ).
tcf(c_81089,plain,
sdtasdt0(sK1,sK3(sK1,sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_81088,c_55,c_80869]) ).
tcf(c_81090,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81087,c_55,c_80869]) ).
tcf(c_81094,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xn,sK1),sK1)) = sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81086,c_55,c_80869]) ).
tcf(c_81134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_80252,c_89]) ).
tcf(c_81137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_80252,c_18982]) ).
tcf(c_81138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_80252,c_18291]) ).
tcf(c_81139,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_80252,c_15630]) ).
tcf(c_81141,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_80252,c_91]) ).
tcf(c_81143,plain,
( ( sz00 = xp )
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_80252,c_90]) ).
tcf(c_81144,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80252,c_142]) ).
tcf(c_81145,plain,
( aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80252,c_97]) ).
tcf(c_81146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_80252,c_87]) ).
tcf(c_81147,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80252,c_85]) ).
tcf(c_81148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xp))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_80252,c_87]) ).
tcf(c_81149,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_80252,c_92]) ).
tcf(c_81150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_80252,c_89]) ).
tcf(c_81151,plain,
aNaturalNumber0(sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_81145,c_59,c_51]) ).
tcf(c_81152,plain,
doDivides0(xp,sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_81144,c_59,c_51]) ).
tcf(c_81153,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81147,c_59,c_51]) ).
tcf(c_81156,plain,
( ( sz00 = xp )
| ( xn = sz00 )
| ( sdtasdt0(xn,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81143,c_59,c_51]) ).
tcf(c_81160,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81149,c_59,c_51]) ).
tcf(c_81165,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81141,c_59,c_51]) ).
tcf(c_81170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81150,c_59,c_51]) ).
tcf(c_81176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xp))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81148,c_59,c_51]) ).
tcf(c_81182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81146,c_59,c_51]) ).
tcf(c_81188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81134,c_59,c_51]) ).
tcf(c_81194,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81139,c_59,c_51]) ).
tcf(c_81200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81138,c_59,c_51]) ).
tcf(c_81209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81137,c_59,c_51]) ).
tcf(c_81260,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_11984,c_80665]) ).
tcf(c_81262,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_108,c_80665]) ).
tcf(c_81263,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81262,c_103,c_80618]) ).
tcf(c_81281,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_11984,c_80916]) ).
tcf(c_81283,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_108,c_80916]) ).
tcf(c_81284,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81283,c_103,c_80869]) ).
tcf(c_81302,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_81194]) ).
tcf(c_81304,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_108,c_81194]) ).
tcf(c_81305,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81304,c_103]) ).
tcf(c_81312,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81302,c_103]) ).
tcf(c_81360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23461,c_70]) ).
tcf(c_81373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23461,c_70]) ).
tcf(c_81374,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(superposition,[status(thm)],[c_23461,c_76]) ).
tcf(c_81375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))),X0) ),
inference(superposition,[status(thm)],[c_23461,c_68]) ).
tcf(c_81376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23461,c_68]) ).
tcf(c_81377,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_23461,c_98]) ).
tcf(c_81378,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(superposition,[status(thm)],[c_23461,c_77]) ).
tcf(c_81379,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81378,c_16168]) ).
tcf(c_81384,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81377,c_16168]) ).
tcf(c_81390,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xl,sdtpldt0(xl,sK0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81374,c_16168]) ).
tcf(c_81395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81373,c_16168]) ).
tcf(c_81401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81360,c_16168]) ).
tcf(c_81407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81376,c_16168]) ).
tcf(c_81413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK0),sdtpldt0(xl,sdtpldt0(xl,sK0))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81375,c_16168]) ).
tcf(c_81472,plain,
sdtasdt0(sdtasdt0(xn,xp),xn) = sdtasdt0(xn,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2777]) ).
tcf(c_81473,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_81151,c_13871]) ).
tcf(c_81474,plain,
sdtasdt0(sdtasdt0(xn,xp),xm) = sdtasdt0(xm,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2776]) ).
tcf(c_81475,plain,
sdtasdt0(sdtasdt0(xn,xp),xl) = sdtasdt0(xl,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2775]) ).
tcf(c_81476,plain,
sdtpldt0(sdtasdt0(xn,xp),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2709]) ).
tcf(c_81477,plain,
sdtpldt0(sdtasdt0(xn,xp),xq) = sdtpldt0(xq,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2705]) ).
tcf(c_81478,plain,
sdtpldt0(sdtasdt0(xn,xp),xp) = sdtpldt0(xp,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2704]) ).
tcf(c_81479,plain,
sdtpldt0(sdtasdt0(xn,xp),sK1) = sdtpldt0(sK1,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2703]) ).
tcf(c_81480,plain,
sdtpldt0(sdtasdt0(xn,xp),sK0) = sdtpldt0(sK0,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2702]) ).
tcf(c_81481,plain,
sdtpldt0(sdtasdt0(xn,xp),xn) = sdtpldt0(xn,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2701]) ).
tcf(c_81482,plain,
sdtpldt0(sdtasdt0(xn,xp),xm) = sdtpldt0(xm,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2700]) ).
tcf(c_81483,plain,
sdtpldt0(sdtasdt0(xn,xp),xl) = sdtpldt0(xl,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2699]) ).
tcf(c_81484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,xp)),sdtasdt0(X0,sdtasdt0(xn,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81151,c_79]) ).
tcf(c_81485,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xp),X1),sdtasdt0(sdtasdt0(xn,xp),X0)) = sdtasdt0(sdtasdt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81151,c_78]) ).
tcf(c_81486,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xp),X1),X0) = sdtasdt0(sdtasdt0(xn,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81151,c_95]) ).
tcf(c_81487,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xp),X1),X0) = sdtpldt0(sdtasdt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81151,c_82]) ).
tcf(c_81488,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xp),X0),sdtasdt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81151,c_152]) ).
tcf(c_81489,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xp),X0) = sdtasdt0(X0,sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81151,c_96]) ).
tcf(c_81490,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xp),X0) = sdtpldt0(X0,sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81151,c_83]) ).
tcf(c_81491,plain,
sdtasdt0(sz00,sdtasdt0(xn,xp)) = sz00,
inference(superposition,[status(thm)],[c_81151,c_94]) ).
tcf(c_81492,plain,
sdtasdt0(sdtasdt0(xn,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_81151,c_93]) ).
tcf(c_81493,plain,
sdtpldt0(sz00,sdtasdt0(xn,xp)) = sdtasdt0(xn,xp),
inference(superposition,[status(thm)],[c_81151,c_81]) ).
tcf(c_81494,plain,
sdtpldt0(sdtasdt0(xn,xp),sz00) = sdtasdt0(xn,xp),
inference(superposition,[status(thm)],[c_81151,c_80]) ).
tcf(c_81640,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xp),xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81152,c_106]) ).
tcf(c_81641,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ doDivides0(sdtasdt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_81152,c_99]) ).
tcf(c_81642,plain,
( ( sdtasdt0(xp,sK3(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81152,c_102]) ).
tcf(c_81643,plain,
sdtasdt0(xp,sK3(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_81642,c_59,c_81151]) ).
tcf(c_81644,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81641,c_59,c_81151]) ).
tcf(c_81648,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xp),xp)) = sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81640,c_59,c_81151]) ).
tcf(c_81651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_80253,c_89]) ).
tcf(c_81654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_80253,c_18982]) ).
tcf(c_81655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_80253,c_18291]) ).
tcf(c_81656,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_80253,c_15630]) ).
tcf(c_81658,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_80253,c_91]) ).
tcf(c_81660,plain,
( ( sz00 = xq )
| ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_80253,c_90]) ).
tcf(c_81661,plain,
( doDivides0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80253,c_142]) ).
tcf(c_81662,plain,
( aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80253,c_97]) ).
tcf(c_81663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_80253,c_87]) ).
tcf(c_81664,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80253,c_85]) ).
tcf(c_81665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xn,xq))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_80253,c_87]) ).
tcf(c_81666,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_80253,c_92]) ).
tcf(c_81667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_80253,c_89]) ).
tcf(c_81668,plain,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_81662,c_62,c_51]) ).
tcf(c_81669,plain,
doDivides0(xq,sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_81661,c_62,c_51]) ).
tcf(c_81670,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81664,c_62,c_51]) ).
tcf(c_81673,plain,
( ( sz00 = xq )
| ( xn = sz00 )
| ( sdtasdt0(xn,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81660,c_62,c_51]) ).
tcf(c_81677,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81666,c_62,c_51]) ).
tcf(c_81682,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81658,c_62,c_51]) ).
tcf(c_81687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81667,c_62,c_51]) ).
tcf(c_81693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xn,xq))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81665,c_62,c_51]) ).
tcf(c_81699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81663,c_62,c_51]) ).
tcf(c_81705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81651,c_62,c_51]) ).
tcf(c_81711,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81656,c_62,c_51]) ).
tcf(c_81717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xn )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81655,c_62,c_51]) ).
tcf(c_81726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sK2(xq,xp))
| ( xn = sz00 )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81654,c_62,c_51]) ).
tcf(c_81777,plain,
sdtasdt0(sdtasdt0(xn,xq),xn) = sdtasdt0(xn,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2777]) ).
tcf(c_81778,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_81668,c_13871]) ).
tcf(c_81779,plain,
sdtasdt0(sdtasdt0(xn,xq),xm) = sdtasdt0(xm,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2776]) ).
tcf(c_81780,plain,
sdtasdt0(sdtasdt0(xn,xq),xl) = sdtasdt0(xl,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2775]) ).
tcf(c_81781,plain,
sdtpldt0(sdtasdt0(xn,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2709]) ).
tcf(c_81782,plain,
sdtpldt0(sdtasdt0(xn,xq),xq) = sdtpldt0(xq,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2705]) ).
tcf(c_81783,plain,
sdtpldt0(sdtasdt0(xn,xq),xp) = sdtpldt0(xp,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2704]) ).
tcf(c_81784,plain,
sdtpldt0(sdtasdt0(xn,xq),sK1) = sdtpldt0(sK1,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2703]) ).
tcf(c_81785,plain,
sdtpldt0(sdtasdt0(xn,xq),sK0) = sdtpldt0(sK0,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2702]) ).
tcf(c_81786,plain,
sdtpldt0(sdtasdt0(xn,xq),xn) = sdtpldt0(xn,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2701]) ).
tcf(c_81787,plain,
sdtpldt0(sdtasdt0(xn,xq),xm) = sdtpldt0(xm,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2700]) ).
tcf(c_81788,plain,
sdtpldt0(sdtasdt0(xn,xq),xl) = sdtpldt0(xl,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2699]) ).
tcf(c_81789,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,xq)),sdtasdt0(X0,sdtasdt0(xn,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81668,c_79]) ).
tcf(c_81790,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xq),X1),sdtasdt0(sdtasdt0(xn,xq),X0)) = sdtasdt0(sdtasdt0(xn,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81668,c_78]) ).
tcf(c_81791,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xq),X1),X0) = sdtasdt0(sdtasdt0(xn,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81668,c_95]) ).
tcf(c_81792,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xq),X1),X0) = sdtpldt0(sdtasdt0(xn,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81668,c_82]) ).
tcf(c_81793,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xq),X0),sdtasdt0(xn,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81668,c_152]) ).
tcf(c_81794,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xq),X0) = sdtasdt0(X0,sdtasdt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81668,c_96]) ).
tcf(c_81795,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xq),X0) = sdtpldt0(X0,sdtasdt0(xn,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81668,c_83]) ).
tcf(c_81796,plain,
sdtasdt0(sz00,sdtasdt0(xn,xq)) = sz00,
inference(superposition,[status(thm)],[c_81668,c_94]) ).
tcf(c_81797,plain,
sdtasdt0(sdtasdt0(xn,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_81668,c_93]) ).
tcf(c_81798,plain,
sdtpldt0(sz00,sdtasdt0(xn,xq)) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_81668,c_81]) ).
tcf(c_81799,plain,
sdtpldt0(sdtasdt0(xn,xq),sz00) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_81668,c_80]) ).
tcf(c_81971,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xn,xq),xq)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81669,c_106]) ).
tcf(c_81972,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ doDivides0(sdtasdt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_81669,c_99]) ).
tcf(c_81973,plain,
( ( sdtasdt0(xq,sK3(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81669,c_102]) ).
tcf(c_81974,plain,
sdtasdt0(xq,sK3(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_81973,c_62,c_81668]) ).
tcf(c_81975,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81972,c_62,c_81668]) ).
tcf(c_81979,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xn,xq),xq)) = sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81971,c_62,c_81668]) ).
tcf(c_81982,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80770,c_89]) ).
tcf(c_81985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80770,c_18982]) ).
tcf(c_81987,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80770,c_15630]) ).
tcf(c_81997,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ( sdtasdt0(X0,sdtasdt0(xn,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_80770,c_92]) ).
tcf(c_81998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80770,c_89]) ).
tcf(c_81999,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81997,c_103,c_80618]) ).
tcf(c_82004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81998,c_103,c_80618]) ).
tcf(c_82010,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81982,c_103,c_80618]) ).
tcf(c_82016,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81987,c_103,c_2614,c_80618]) ).
tcf(c_82021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81985,c_103,c_2614,c_80618]) ).
tcf(c_82033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80771,c_18291]) ).
tcf(c_82036,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ( sdtasdt0(sdtasdt0(xn,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_80771,c_91]) ).
tcf(c_82039,plain,
( doDivides0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80771,c_142]) ).
tcf(c_82041,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80771,c_87]) ).
tcf(c_82043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80771,c_87]) ).
tcf(c_82046,plain,
doDivides0(sdtasdt0(xn,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_82039,c_103,c_80618]) ).
tcf(c_82047,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82036,c_103,c_80618]) ).
tcf(c_82052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82043,c_103,c_80618]) ).
tcf(c_82058,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82041,c_103,c_80618]) ).
tcf(c_82064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82033,c_103,c_2614,c_80618]) ).
tcf(c_82072,plain,
( ( sdtasdt0(xn,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,sK0),sdtsldt0(sz00,sdtasdt0(xn,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_82046,c_106]) ).
tcf(c_82073,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_82046,c_99]) ).
tcf(c_82074,plain,
( ( sdtasdt0(sdtasdt0(xn,sK0),sK3(sdtasdt0(xn,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_82046,c_102]) ).
tcf(c_82075,plain,
sdtasdt0(sdtasdt0(xn,sK0),sK3(sdtasdt0(xn,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_82074,c_103,c_80618]) ).
tcf(c_82076,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82073,c_103,c_80618]) ).
tcf(c_82080,plain,
( ( sdtasdt0(xn,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,sK0),sdtsldt0(sz00,sdtasdt0(xn,sK0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82072,c_103,c_80618]) ).
tcf(c_82141,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_11984,c_81711]) ).
tcf(c_82143,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_108,c_81711]) ).
tcf(c_82144,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82143,c_103,c_81668]) ).
tcf(c_82150,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82141,c_103,c_81668]) ).
tcf(c_82205,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_89]) ).
tcf(c_82207,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_27527]) ).
tcf(c_82208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_18982]) ).
tcf(c_82209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_18291]) ).
tcf(c_82210,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_15630]) ).
tcf(c_82212,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23513,c_91]) ).
tcf(c_82213,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_5229]) ).
tcf(c_82214,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_90]) ).
tcf(c_82217,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00),X0) ),
inference(superposition,[status(thm)],[c_23513,c_87]) ).
tcf(c_82218,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_85]) ).
tcf(c_82219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sz00)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_87]) ).
tcf(c_82220,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_23513,c_92]) ).
tcf(c_82221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)),sz00)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(superposition,[status(thm)],[c_23513,c_89]) ).
tcf(c_82222,plain,
( ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82218,c_55789,c_20938]) ).
tcf(c_82227,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82212,c_20943,c_20938]) ).
tcf(c_82232,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82220,c_20938]) ).
tcf(c_82238,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82210,c_2614,c_20938]) ).
tcf(c_82244,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82207,c_2614,c_20938]) ).
tcf(c_82251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)),sz00)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82221,c_20938]) ).
tcf(c_82258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sz00)
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82219,c_20943,c_20938]) ).
tcf(c_82264,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82217,c_20943,c_20938]) ).
tcf(c_82270,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82205,c_20938]) ).
tcf(c_82277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82209,c_20943,c_2614,c_20938]) ).
tcf(c_82285,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82208,c_2614,c_20938]) ).
tcf(c_82294,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81054,c_89]) ).
tcf(c_82297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81054,c_18982]) ).
tcf(c_82299,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81054,c_15630]) ).
tcf(c_82309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ( sdtasdt0(X0,sdtasdt0(xn,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_81054,c_92]) ).
tcf(c_82310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81054,c_89]) ).
tcf(c_82311,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82309,c_103,c_80869]) ).
tcf(c_82316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82310,c_103,c_80869]) ).
tcf(c_82322,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82294,c_103,c_80869]) ).
tcf(c_82328,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82299,c_103,c_2614,c_80869]) ).
tcf(c_82333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82297,c_103,c_2614,c_80869]) ).
tcf(c_82345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81055,c_18291]) ).
tcf(c_82348,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ( sdtasdt0(sdtasdt0(xn,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_81055,c_91]) ).
tcf(c_82351,plain,
( doDivides0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81055,c_142]) ).
tcf(c_82353,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81055,c_87]) ).
tcf(c_82355,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81055,c_87]) ).
tcf(c_82358,plain,
doDivides0(sdtasdt0(xn,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_82351,c_103,c_80869]) ).
tcf(c_82359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82348,c_103,c_80869]) ).
tcf(c_82364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82355,c_103,c_80869]) ).
tcf(c_82370,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82353,c_103,c_80869]) ).
tcf(c_82376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82345,c_103,c_2614,c_80869]) ).
tcf(c_82384,plain,
( ( sdtasdt0(xn,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,sK1),sdtsldt0(sz00,sdtasdt0(xn,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_82358,c_106]) ).
tcf(c_82385,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_82358,c_99]) ).
tcf(c_82386,plain,
( ( sdtasdt0(sdtasdt0(xn,sK1),sK3(sdtasdt0(xn,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_82358,c_102]) ).
tcf(c_82387,plain,
sdtasdt0(sdtasdt0(xn,sK1),sK3(sdtasdt0(xn,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_82386,c_103,c_80869]) ).
tcf(c_82388,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82385,c_103,c_80869]) ).
tcf(c_82392,plain,
( ( sdtasdt0(xn,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,sK1),sdtsldt0(sz00,sdtasdt0(xn,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82384,c_103,c_80869]) ).
tcf(c_82395,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81491,c_89]) ).
tcf(c_82398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81491,c_18982]) ).
tcf(c_82400,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81491,c_15630]) ).
tcf(c_82410,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(X0,sdtasdt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_81491,c_92]) ).
tcf(c_82411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81491,c_89]) ).
tcf(c_82412,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82410,c_103,c_81151]) ).
tcf(c_82417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82411,c_103,c_81151]) ).
tcf(c_82423,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82395,c_103,c_81151]) ).
tcf(c_82429,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82400,c_103,c_2614,c_81151]) ).
tcf(c_82434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82398,c_103,c_2614,c_81151]) ).
tcf(c_82491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81492,c_18291]) ).
tcf(c_82494,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(sdtasdt0(xn,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_81492,c_91]) ).
tcf(c_82497,plain,
( doDivides0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81492,c_142]) ).
tcf(c_82499,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81492,c_87]) ).
tcf(c_82501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81492,c_87]) ).
tcf(c_82504,plain,
doDivides0(sdtasdt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_82497,c_103,c_81151]) ).
tcf(c_82505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82494,c_103,c_81151]) ).
tcf(c_82510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82501,c_103,c_81151]) ).
tcf(c_82516,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82499,c_103,c_81151]) ).
tcf(c_82522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82491,c_103,c_2614,c_81151]) ).
tcf(c_82541,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xp),sdtsldt0(sz00,sdtasdt0(xn,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_82504,c_106]) ).
tcf(c_82542,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_82504,c_99]) ).
tcf(c_82543,plain,
( ( sdtasdt0(sdtasdt0(xn,xp),sK3(sdtasdt0(xn,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_82504,c_102]) ).
tcf(c_82544,plain,
sdtasdt0(sdtasdt0(xn,xp),sK3(sdtasdt0(xn,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_82543,c_103,c_81151]) ).
tcf(c_82545,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82542,c_103,c_81151]) ).
tcf(c_82549,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xp),sdtsldt0(sz00,sdtasdt0(xn,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82541,c_103,c_81151]) ).
tcf(c_82552,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81796,c_89]) ).
tcf(c_82555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81796,c_18982]) ).
tcf(c_82557,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81796,c_15630]) ).
tcf(c_82567,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtasdt0(X0,sdtasdt0(xn,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_81796,c_92]) ).
tcf(c_82568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81796,c_89]) ).
tcf(c_82569,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82567,c_103,c_81668]) ).
tcf(c_82574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82568,c_103,c_81668]) ).
tcf(c_82580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82552,c_103,c_81668]) ).
tcf(c_82586,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82557,c_103,c_2614,c_81668]) ).
tcf(c_82591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82555,c_103,c_2614,c_81668]) ).
tcf(c_82614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81797,c_18291]) ).
tcf(c_82617,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtasdt0(sdtasdt0(xn,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_81797,c_91]) ).
tcf(c_82620,plain,
( doDivides0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81797,c_142]) ).
tcf(c_82622,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81797,c_87]) ).
tcf(c_82624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81797,c_87]) ).
tcf(c_82627,plain,
doDivides0(sdtasdt0(xn,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_82620,c_103,c_81668]) ).
tcf(c_82628,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82617,c_103,c_81668]) ).
tcf(c_82633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82624,c_103,c_81668]) ).
tcf(c_82639,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82622,c_103,c_81668]) ).
tcf(c_82645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82614,c_103,c_2614,c_81668]) ).
tcf(c_82754,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_89]) ).
tcf(c_82756,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_27527]) ).
tcf(c_82757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_18982]) ).
tcf(c_82758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_18291]) ).
tcf(c_82759,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_15630]) ).
tcf(c_82761,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23514,c_91]) ).
tcf(c_82762,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_5229]) ).
tcf(c_82763,plain,
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_90]) ).
tcf(c_82766,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))),X0) ),
inference(superposition,[status(thm)],[c_23514,c_87]) ).
tcf(c_82767,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_85]) ).
tcf(c_82768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sz00)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_87]) ).
tcf(c_82769,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23514,c_92]) ).
tcf(c_82770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))),sz00)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_23514,c_89]) ).
tcf(c_82771,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82767,c_55789,c_20938]) ).
tcf(c_82776,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82761,c_20943,c_20938]) ).
tcf(c_82781,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82769,c_20938]) ).
tcf(c_82787,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82759,c_2614,c_20938]) ).
tcf(c_82793,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82756,c_2614,c_20938]) ).
tcf(c_82800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))),sz00)
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82770,c_20938]) ).
tcf(c_82807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82768,c_20943,c_20938]) ).
tcf(c_82813,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82766,c_20943,c_20938]) ).
tcf(c_82819,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82754,c_20938]) ).
tcf(c_82826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82758,c_20943,c_2614,c_20938]) ).
tcf(c_82834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82757,c_2614,c_20938]) ).
tcf(c_82875,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xq),sdtsldt0(sz00,sdtasdt0(xn,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_82627,c_106]) ).
tcf(c_82876,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_82627,c_99]) ).
tcf(c_82877,plain,
( ( sdtasdt0(sdtasdt0(xn,xq),sK3(sdtasdt0(xn,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_82627,c_102]) ).
tcf(c_82878,plain,
sdtasdt0(sdtasdt0(xn,xq),sK3(sdtasdt0(xn,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_82877,c_103,c_81668]) ).
tcf(c_82879,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82876,c_103,c_81668]) ).
tcf(c_82883,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xq),sdtsldt0(sz00,sdtasdt0(xn,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82875,c_103,c_81668]) ).
tcf(c_82890,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ( xn = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80620,c_109]) ).
tcf(c_82891,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80620,c_11962]) ).
tcf(c_82892,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80620,c_8700]) ).
tcf(c_82894,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sK0) ),
inference(superposition,[status(thm)],[c_80620,c_110]) ).
tcf(c_82895,plain,
( ( xn = sz00 )
| ( sdtpldt0(sK0,sK2(sK0,sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80620,c_73]) ).
tcf(c_82896,plain,
( ( xn = sz00 )
| ( sdtpldt0(sK0,sK2(sK0,sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82895,c_52,c_80618]) ).
tcf(c_82899,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sK0) = sK0 )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82894,c_52,c_80618]) ).
tcf(c_82903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82890,c_52,c_80618]) ).
tcf(c_82915,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ( xn = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_80871,c_109]) ).
tcf(c_82916,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_80871,c_11962]) ).
tcf(c_82917,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_80871,c_8700]) ).
tcf(c_82919,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sK1) ),
inference(superposition,[status(thm)],[c_80871,c_110]) ).
tcf(c_82920,plain,
( ( xn = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_80871,c_73]) ).
tcf(c_82921,plain,
( ( xn = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82920,c_55,c_80869]) ).
tcf(c_82924,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sK1) = sK1 )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82919,c_55,c_80869]) ).
tcf(c_82928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82915,c_55,c_80869]) ).
tcf(c_82997,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81153,c_109]) ).
tcf(c_82998,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81153,c_11962]) ).
tcf(c_82999,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_81153,c_8700]) ).
tcf(c_83001,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xp) ),
inference(superposition,[status(thm)],[c_81153,c_110]) ).
tcf(c_83002,plain,
( ( xn = sz00 )
| ( sdtpldt0(xp,sK2(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81153,c_73]) ).
tcf(c_83003,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81153,c_3965]) ).
tcf(c_83004,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83003,c_81151]) ).
tcf(c_83008,plain,
( ( xn = sz00 )
| ( sdtpldt0(xp,sK2(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83002,c_59,c_81151]) ).
tcf(c_83011,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83001,c_59,c_81151]) ).
tcf(c_83015,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82997,c_59,c_81151]) ).
tcf(c_83020,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82998,c_59,c_81151]) ).
tcf(c_83079,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81670,c_109]) ).
tcf(c_83080,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81670,c_11962]) ).
tcf(c_83081,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_81670,c_8700]) ).
tcf(c_83083,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),xq) ),
inference(superposition,[status(thm)],[c_81670,c_110]) ).
tcf(c_83084,plain,
( ( xn = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81670,c_73]) ).
tcf(c_83085,plain,
( ( xn = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83084,c_62,c_81668]) ).
tcf(c_83088,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83083,c_62,c_81668]) ).
tcf(c_83092,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83079,c_62,c_81668]) ).
tcf(c_83114,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_79025,c_109]) ).
tcf(c_83119,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtpldt0(sdtasdt0(xm,xp),sK2(sdtasdt0(xm,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_79025,c_73]) ).
tcf(c_83120,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_79025,c_61224]) ).
tcf(c_83121,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83120,c_71319]) ).
tcf(c_83124,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtpldt0(sdtasdt0(xm,xp),sK2(sdtasdt0(xm,xp),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83119,c_59,c_71319]) ).
tcf(c_83127,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83114,c_59,c_71319]) ).
tcf(c_83136,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_79246,c_109]) ).
tcf(c_83140,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(xm,sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_79246,c_110]) ).
tcf(c_83141,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sK2(sdtasdt0(xl,xm),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_79246,c_73]) ).
tcf(c_83142,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sK2(sdtasdt0(xl,xm),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83141,c_50,c_61931]) ).
tcf(c_83145,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83140,c_50,c_61931,c_61933]) ).
tcf(c_83148,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83136,c_50,c_61931]) ).
tcf(c_83179,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_79272,c_109]) ).
tcf(c_83183,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(xm,sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_79272,c_110]) ).
tcf(c_83184,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_79272,c_73]) ).
tcf(c_83185,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sdtasdt0(xl,xn),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83184,c_50,c_62562]) ).
tcf(c_83188,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ( sdtasdt0(xl,xn) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83183,c_50,c_62562]) ).
tcf(c_83192,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xl,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83179,c_50,c_62562]) ).
tcf(c_83323,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,sdtpldt0(xl,xq)))) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_12751]) ).
tcf(c_83324,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_12751,c_109]) ).
tcf(c_83328,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_12751,c_110]) ).
tcf(c_83329,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_12751,c_73]) ).
tcf(c_83330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_12751,c_61224]) ).
tcf(c_83339,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83328,c_59]) ).
tcf(c_83348,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83324,c_59]) ).
tcf(c_83366,plain,
sdtsldt0(sz00,sdtasdt0(xl,xq)) = sz00,
inference(global_subsumption_just,[status(thm)],[c_18674,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2518,c_2615,c_2889,c_2969,c_3070,c_3212,c_3488,c_3882,c_7313,c_18659,c_22414]) ).
tcf(c_83372,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_89]) ).
tcf(c_83374,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_27527]) ).
tcf(c_83375,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_18982]) ).
tcf(c_83376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_18291]) ).
tcf(c_83377,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_15630]) ).
tcf(c_83379,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23802,c_91]) ).
tcf(c_83380,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_5229]) ).
tcf(c_83381,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_90]) ).
tcf(c_83384,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00),X0) ),
inference(superposition,[status(thm)],[c_23802,c_87]) ).
tcf(c_83385,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_85]) ).
tcf(c_83386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_87]) ).
tcf(c_83387,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_23802,c_92]) ).
tcf(c_83388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(superposition,[status(thm)],[c_23802,c_89]) ).
tcf(c_83389,plain,
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83385,c_61869,c_21527]) ).
tcf(c_83394,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83379,c_21532,c_21527]) ).
tcf(c_83399,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83387,c_21527]) ).
tcf(c_83405,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83377,c_2614,c_21527]) ).
tcf(c_83411,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83374,c_2614,c_21527]) ).
tcf(c_83418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83388,c_21527]) ).
tcf(c_83425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83386,c_21532,c_21527]) ).
tcf(c_83431,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83384,c_21532,c_21527]) ).
tcf(c_83437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83372,c_21527]) ).
tcf(c_83444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83376,c_21532,c_2614,c_21527]) ).
tcf(c_83452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83375,c_2614,c_21527]) ).
tcf(c_83461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,sK0)),sdtasdt0(xn,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80772,c_70]) ).
tcf(c_83464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80772,c_17825]) ).
tcf(c_83465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80772,c_17392]) ).
tcf(c_83466,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80772,c_14477]) ).
tcf(c_83472,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80772,c_145]) ).
tcf(c_83474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(X0,sdtasdt0(xn,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80772,c_70]) ).
tcf(c_83475,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_80772,c_76]) ).
tcf(c_83476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),X0) ),
inference(superposition,[status(thm)],[c_80772,c_68]) ).
tcf(c_83477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80772,c_68]) ).
tcf(c_83479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ( sdtpldt0(X0,sdtasdt0(xn,sK0)) != sdtasdt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_80772,c_77]) ).
tcf(c_83481,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_51524]) ).
tcf(c_83482,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_49956]) ).
tcf(c_83483,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80772,c_47638]) ).
tcf(c_83484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_41879]) ).
tcf(c_83485,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_46832]) ).
tcf(c_83486,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_43963]) ).
tcf(c_83487,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_43470]) ).
tcf(c_83488,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_43085]) ).
tcf(c_83489,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_42039]) ).
tcf(c_83490,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_35146]) ).
tcf(c_83491,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_26041]) ).
tcf(c_83492,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_26044]) ).
tcf(c_83493,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_80772,c_26052]) ).
tcf(c_83494,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_15930]) ).
tcf(c_83495,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_15792]) ).
tcf(c_83496,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_24215]) ).
tcf(c_83497,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_24215]) ).
tcf(c_83498,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_15931]) ).
tcf(c_83499,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_24885]) ).
tcf(c_83500,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_15793]) ).
tcf(c_83501,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_80772,c_8652]) ).
tcf(c_83502,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK0))) ),
inference(superposition,[status(thm)],[c_80772,c_45030]) ).
tcf(c_83503,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_83472,c_103,c_80618]) ).
tcf(c_83504,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,sK0)) != sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83479,c_103,c_80618]) ).
tcf(c_83508,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83475,c_103,c_80618]) ).
tcf(c_83512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(X0,sdtasdt0(xn,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83474,c_103,c_80618]) ).
tcf(c_83518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83477,c_103,c_80618]) ).
tcf(c_83523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83476,c_103,c_80618]) ).
tcf(c_83528,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83466,c_103,c_80618]) ).
tcf(c_83533,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83501,c_80618]) ).
tcf(c_83538,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83500,c_80618]) ).
tcf(c_83544,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83498,c_80618]) ).
tcf(c_83550,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83497,c_80772]) ).
tcf(c_83551,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83550,c_80618]) ).
tcf(c_83559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83464,c_103,c_80618]) ).
tcf(c_83567,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83495,c_80618]) ).
tcf(c_83574,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83494,c_80618]) ).
tcf(c_83581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83465,c_103,c_80618]) ).
tcf(c_83596,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83493,c_80772]) ).
tcf(c_83597,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83596,c_80618]) ).
tcf(c_83603,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83492,c_80772]) ).
tcf(c_83604,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83603,c_80618]) ).
tcf(c_83611,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83490,c_80618]) ).
tcf(c_83619,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83491,c_80772]) ).
tcf(c_83620,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83619,c_80618]) ).
tcf(c_83628,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83485,c_80772]) ).
tcf(c_83629,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83628,c_80618]) ).
tcf(c_83636,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0)) ),
inference(light_normalisation,[status(thm)],[c_83483,c_80772]) ).
tcf(c_83637,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83636,c_80618]) ).
tcf(c_83644,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83489,c_80772]) ).
tcf(c_83645,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83644,c_80618]) ).
tcf(c_83653,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83488,c_80618]) ).
tcf(c_83661,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83487,c_80618]) ).
tcf(c_83669,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83486,c_80618]) ).
tcf(c_83676,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83502,c_80772]) ).
tcf(c_83677,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83676,c_80618]) ).
tcf(c_83686,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83482,c_80772]) ).
tcf(c_83687,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83686,c_80618]) ).
tcf(c_83695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83484,c_80772]) ).
tcf(c_83696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83695,c_80618]) ).
tcf(c_83706,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_83481,c_80772]) ).
tcf(c_83707,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83706,c_80618]) ).
tcf(c_83807,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83503,c_109]) ).
tcf(c_83811,plain,
( ( sdtasdt0(xn,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_83503,c_110]) ).
tcf(c_83812,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83503,c_73]) ).
tcf(c_83813,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_83812,c_103,c_80618]) ).
tcf(c_83814,plain,
( ( sdtasdt0(xn,sK0) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83811,c_103,c_80618]) ).
tcf(c_83817,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83807,c_103,c_80618]) ).
tcf(c_83821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80773,c_70]) ).
tcf(c_83823,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80773,c_24035]) ).
tcf(c_83824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80773,c_17825]) ).
tcf(c_83825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80773,c_17392]) ).
tcf(c_83826,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_80773,c_14477]) ).
tcf(c_83827,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80773,c_5155]) ).
tcf(c_83832,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80773,c_145]) ).
tcf(c_83834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),X0) ),
inference(superposition,[status(thm)],[c_80773,c_70]) ).
tcf(c_83835,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ( sdtpldt0(sdtasdt0(xn,sK0),X0) != sdtasdt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_80773,c_76]) ).
tcf(c_83836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(sdtasdt0(xn,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80773,c_68]) ).
tcf(c_83837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,sK0),X0),sdtasdt0(xn,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_80773,c_68]) ).
tcf(c_83839,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,sK0) ) ),
inference(superposition,[status(thm)],[c_80773,c_77]) ).
tcf(c_83840,plain,
sdtlseqdt0(sdtasdt0(xn,sK0),sdtasdt0(xn,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_83832,c_103,c_80618]) ).
tcf(c_83841,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83827,c_103,c_80618]) ).
tcf(c_83844,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83839,c_103,c_80618]) ).
tcf(c_83848,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,sK0),X0) != sdtasdt0(xn,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83835,c_103,c_80618]) ).
tcf(c_83853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(sdtasdt0(xn,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83836,c_103,c_80618]) ).
tcf(c_83858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83834,c_103,c_80618]) ).
tcf(c_83863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83821,c_103,c_80618]) ).
tcf(c_83868,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83826,c_103,c_80618]) ).
tcf(c_83873,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83823,c_103,c_80618]) ).
tcf(c_83879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83825,c_103,c_80618]) ).
tcf(c_83887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83824,c_103,c_80618]) ).
tcf(c_83897,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_83840,c_8700]) ).
tcf(c_83900,plain,
( ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83840,c_73]) ).
tcf(c_83901,plain,
sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),sdtasdt0(xn,sK0))) = sdtasdt0(xn,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_83900,c_80618]) ).
tcf(c_83907,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_80040,c_109]) ).
tcf(c_83911,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(xm,sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_80040,c_110]) ).
tcf(c_83912,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_80040,c_73]) ).
tcf(c_83913,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sdtasdt0(xm,xn),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83912,c_50,c_68944]) ).
tcf(c_83916,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ( sdtasdt0(xm,xn) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83911,c_50,c_68944]) ).
tcf(c_83920,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83907,c_50,c_68944]) ).
tcf(c_84005,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_80066,c_109]) ).
tcf(c_84009,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ sdtlseqdt0(xm,sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_80066,c_110]) ).
tcf(c_84010,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_80066,c_73]) ).
tcf(c_84011,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtpldt0(sdtasdt0(xm,sK0),sK2(sdtasdt0(xm,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84010,c_50,c_69208]) ).
tcf(c_84014,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ( sdtasdt0(xm,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84009,c_50,c_69208]) ).
tcf(c_84018,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84005,c_50,c_69208]) ).
tcf(c_84027,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_80092,c_109]) ).
tcf(c_84031,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ sdtlseqdt0(xm,sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_80092,c_110]) ).
tcf(c_84032,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,sK1)) ),
inference(superposition,[status(thm)],[c_80092,c_73]) ).
tcf(c_84033,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtpldt0(sdtasdt0(xm,sK1),sK2(sdtasdt0(xm,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84032,c_50,c_69923]) ).
tcf(c_84036,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ( sdtasdt0(xm,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84031,c_50,c_69923]) ).
tcf(c_84040,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84027,c_50,c_69923]) ).
tcf(c_84142,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,sK1)),sdtasdt0(xn,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81056,c_70]) ).
tcf(c_84145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_81056,c_17825]) ).
tcf(c_84146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81056,c_17392]) ).
tcf(c_84147,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_81056,c_14477]) ).
tcf(c_84153,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81056,c_145]) ).
tcf(c_84155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(X0,sdtasdt0(xn,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81056,c_70]) ).
tcf(c_84156,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_81056,c_76]) ).
tcf(c_84157,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),X0) ),
inference(superposition,[status(thm)],[c_81056,c_68]) ).
tcf(c_84158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81056,c_68]) ).
tcf(c_84160,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ( sdtpldt0(X0,sdtasdt0(xn,sK1)) != sdtasdt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_81056,c_77]) ).
tcf(c_84162,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_51524]) ).
tcf(c_84163,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_49956]) ).
tcf(c_84164,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81056,c_47638]) ).
tcf(c_84165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_41879]) ).
tcf(c_84166,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_46832]) ).
tcf(c_84167,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_43963]) ).
tcf(c_84168,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_43470]) ).
tcf(c_84169,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_43085]) ).
tcf(c_84170,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_42039]) ).
tcf(c_84171,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_35146]) ).
tcf(c_84172,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_26041]) ).
tcf(c_84173,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_26044]) ).
tcf(c_84174,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_81056,c_26052]) ).
tcf(c_84175,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_15930]) ).
tcf(c_84176,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_15792]) ).
tcf(c_84177,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_24215]) ).
tcf(c_84178,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_24215]) ).
tcf(c_84179,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_15931]) ).
tcf(c_84180,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_24885]) ).
tcf(c_84181,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_15793]) ).
tcf(c_84182,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_81056,c_8652]) ).
tcf(c_84183,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sK1))) ),
inference(superposition,[status(thm)],[c_81056,c_45030]) ).
tcf(c_84184,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_84153,c_103,c_80869]) ).
tcf(c_84185,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,sK1)) != sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84160,c_103,c_80869]) ).
tcf(c_84189,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84156,c_103,c_80869]) ).
tcf(c_84193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(X0,sdtasdt0(xn,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84155,c_103,c_80869]) ).
tcf(c_84199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84158,c_103,c_80869]) ).
tcf(c_84204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84157,c_103,c_80869]) ).
tcf(c_84209,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84147,c_103,c_80869]) ).
tcf(c_84214,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84182,c_80869]) ).
tcf(c_84219,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84181,c_80869]) ).
tcf(c_84225,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84179,c_80869]) ).
tcf(c_84231,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84178,c_81056]) ).
tcf(c_84232,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84231,c_80869]) ).
tcf(c_84240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84145,c_103,c_80869]) ).
tcf(c_84248,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84176,c_80869]) ).
tcf(c_84255,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84175,c_80869]) ).
tcf(c_84262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84146,c_103,c_80869]) ).
tcf(c_84277,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84174,c_81056]) ).
tcf(c_84278,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84277,c_80869]) ).
tcf(c_84284,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84173,c_81056]) ).
tcf(c_84285,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84284,c_80869]) ).
tcf(c_84292,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84171,c_80869]) ).
tcf(c_84300,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84172,c_81056]) ).
tcf(c_84301,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84300,c_80869]) ).
tcf(c_84309,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84166,c_81056]) ).
tcf(c_84310,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84309,c_80869]) ).
tcf(c_84317,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1)) ),
inference(light_normalisation,[status(thm)],[c_84164,c_81056]) ).
tcf(c_84318,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84317,c_80869]) ).
tcf(c_84325,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84170,c_81056]) ).
tcf(c_84326,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84325,c_80869]) ).
tcf(c_84334,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84169,c_80869]) ).
tcf(c_84342,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84168,c_80869]) ).
tcf(c_84350,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84167,c_80869]) ).
tcf(c_84357,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84183,c_81056]) ).
tcf(c_84358,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84357,c_80869]) ).
tcf(c_84367,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84163,c_81056]) ).
tcf(c_84368,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84367,c_80869]) ).
tcf(c_84376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84165,c_81056]) ).
tcf(c_84377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84376,c_80869]) ).
tcf(c_84387,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_84162,c_81056]) ).
tcf(c_84388,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84387,c_80869]) ).
tcf(c_84501,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83868,c_109]) ).
tcf(c_84502,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_83868,c_11962]) ).
tcf(c_84503,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_83868,c_8700]) ).
tcf(c_84504,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_83868,c_3979]) ).
tcf(c_84505,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83868,c_110]) ).
tcf(c_84506,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_83868,c_73]) ).
tcf(c_84507,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(superposition,[status(thm)],[c_83868,c_5863]) ).
tcf(c_84510,plain,
( sdtlseqdt0(sdtasdt0(xn,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84503,c_80618]) ).
tcf(c_84516,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84501,c_80618]) ).
tcf(c_84523,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84507,c_80618]) ).
tcf(c_84529,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84506,c_80618]) ).
tcf(c_84534,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84505,c_80618]) ).
tcf(c_84599,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_89]) ).
tcf(c_84601,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_27527]) ).
tcf(c_84602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_18982]) ).
tcf(c_84603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_18291]) ).
tcf(c_84604,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_15630]) ).
tcf(c_84606,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23803,c_91]) ).
tcf(c_84607,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_5229]) ).
tcf(c_84608,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_90]) ).
tcf(c_84611,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(superposition,[status(thm)],[c_23803,c_87]) ).
tcf(c_84612,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_85]) ).
tcf(c_84613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_87]) ).
tcf(c_84614,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23803,c_92]) ).
tcf(c_84615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_23803,c_89]) ).
tcf(c_84616,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84612,c_61869,c_21527]) ).
tcf(c_84621,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84606,c_21532,c_21527]) ).
tcf(c_84626,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84614,c_21527]) ).
tcf(c_84632,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84604,c_2614,c_21527]) ).
tcf(c_84638,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84601,c_2614,c_21527]) ).
tcf(c_84645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84615,c_21527]) ).
tcf(c_84652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84613,c_21532,c_21527]) ).
tcf(c_84658,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84611,c_21532,c_21527]) ).
tcf(c_84664,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84599,c_21527]) ).
tcf(c_84671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84603,c_21532,c_2614,c_21527]) ).
tcf(c_84679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84602,c_2614,c_21527]) ).
tcf(c_85013,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_84184,c_109]) ).
tcf(c_85017,plain,
( ( sdtasdt0(xn,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_84184,c_110]) ).
tcf(c_85018,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_84184,c_73]) ).
tcf(c_85019,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_85018,c_103,c_80869]) ).
tcf(c_85020,plain,
( ( sdtasdt0(xn,sK1) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85017,c_103,c_80869]) ).
tcf(c_85023,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85013,c_103,c_80869]) ).
tcf(c_85027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81057,c_70]) ).
tcf(c_85029,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_81057,c_24035]) ).
tcf(c_85030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81057,c_17825]) ).
tcf(c_85031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_81057,c_17392]) ).
tcf(c_85032,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_81057,c_14477]) ).
tcf(c_85033,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81057,c_5155]) ).
tcf(c_85038,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81057,c_145]) ).
tcf(c_85040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),X0) ),
inference(superposition,[status(thm)],[c_81057,c_70]) ).
tcf(c_85041,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ( sdtpldt0(sdtasdt0(xn,sK1),X0) != sdtasdt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_81057,c_76]) ).
tcf(c_85042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(sdtasdt0(xn,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81057,c_68]) ).
tcf(c_85043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,sK1),X0),sdtasdt0(xn,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_81057,c_68]) ).
tcf(c_85045,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,sK1) ) ),
inference(superposition,[status(thm)],[c_81057,c_77]) ).
tcf(c_85046,plain,
sdtlseqdt0(sdtasdt0(xn,sK1),sdtasdt0(xn,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_85038,c_103,c_80869]) ).
tcf(c_85047,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85033,c_103,c_80869]) ).
tcf(c_85050,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85045,c_103,c_80869]) ).
tcf(c_85054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,sK1),X0) != sdtasdt0(xn,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85041,c_103,c_80869]) ).
tcf(c_85059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(sdtasdt0(xn,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85042,c_103,c_80869]) ).
tcf(c_85064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85040,c_103,c_80869]) ).
tcf(c_85069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85027,c_103,c_80869]) ).
tcf(c_85074,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85032,c_103,c_80869]) ).
tcf(c_85079,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85029,c_103,c_80869]) ).
tcf(c_85085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85031,c_103,c_80869]) ).
tcf(c_85093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85030,c_103,c_80869]) ).
tcf(c_85183,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_85046,c_8700]) ).
tcf(c_85186,plain,
( ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_85046,c_73]) ).
tcf(c_85187,plain,
sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),sdtasdt0(xn,sK1))) = sdtasdt0(xn,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_85186,c_80869]) ).
tcf(c_85189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xp)),sdtasdt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81493,c_70]) ).
tcf(c_85192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_81493,c_17825]) ).
tcf(c_85193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81493,c_17392]) ).
tcf(c_85194,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_81493,c_14477]) ).
tcf(c_85200,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81493,c_145]) ).
tcf(c_85202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81493,c_70]) ).
tcf(c_85203,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_81493,c_76]) ).
tcf(c_85204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_81493,c_68]) ).
tcf(c_85205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81493,c_68]) ).
tcf(c_85207,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(X0,sdtasdt0(xn,xp)) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_81493,c_77]) ).
tcf(c_85209,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_51524]) ).
tcf(c_85210,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_49956]) ).
tcf(c_85211,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81493,c_47638]) ).
tcf(c_85212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_41879]) ).
tcf(c_85213,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_46832]) ).
tcf(c_85214,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_43963]) ).
tcf(c_85215,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_43470]) ).
tcf(c_85216,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_43085]) ).
tcf(c_85217,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_42039]) ).
tcf(c_85218,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_35146]) ).
tcf(c_85219,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_26041]) ).
tcf(c_85220,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_26044]) ).
tcf(c_85221,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,xp)),sz00) ),
inference(superposition,[status(thm)],[c_81493,c_26052]) ).
tcf(c_85222,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_15930]) ).
tcf(c_85223,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_15792]) ).
tcf(c_85224,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_24215]) ).
tcf(c_85225,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_24215]) ).
tcf(c_85226,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_15931]) ).
tcf(c_85227,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_24885]) ).
tcf(c_85228,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_15793]) ).
tcf(c_85229,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_81493,c_8652]) ).
tcf(c_85230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_45030]) ).
tcf(c_85231,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_85200,c_103,c_81151]) ).
tcf(c_85232,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xp)) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85207,c_103,c_81151]) ).
tcf(c_85236,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85203,c_103,c_81151]) ).
tcf(c_85240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85202,c_103,c_81151]) ).
tcf(c_85246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85205,c_103,c_81151]) ).
tcf(c_85251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85204,c_103,c_81151]) ).
tcf(c_85256,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85194,c_103,c_81151]) ).
tcf(c_85261,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,xp) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85229,c_81151]) ).
tcf(c_85266,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85228,c_81151]) ).
tcf(c_85272,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85226,c_81151]) ).
tcf(c_85278,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85225,c_81493]) ).
tcf(c_85279,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85278,c_81151]) ).
tcf(c_85287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85192,c_103,c_81151]) ).
tcf(c_85295,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85223,c_81151]) ).
tcf(c_85302,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85222,c_81151]) ).
tcf(c_85309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85193,c_103,c_81151]) ).
tcf(c_85324,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85221,c_81493]) ).
tcf(c_85325,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85324,c_81151]) ).
tcf(c_85331,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85220,c_81493]) ).
tcf(c_85332,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85331,c_81151]) ).
tcf(c_85339,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85218,c_81151]) ).
tcf(c_85347,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85219,c_81493]) ).
tcf(c_85348,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85347,c_81151]) ).
tcf(c_85356,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85213,c_81493]) ).
tcf(c_85357,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85356,c_81151]) ).
tcf(c_85364,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp)) ),
inference(light_normalisation,[status(thm)],[c_85211,c_81493]) ).
tcf(c_85365,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85364,c_81151]) ).
tcf(c_85372,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85217,c_81493]) ).
tcf(c_85373,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85372,c_81151]) ).
tcf(c_85381,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85216,c_81151]) ).
tcf(c_85389,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85215,c_81151]) ).
tcf(c_85397,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85214,c_81151]) ).
tcf(c_85404,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85230,c_81493]) ).
tcf(c_85405,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85404,c_81151]) ).
tcf(c_85414,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85210,c_81493]) ).
tcf(c_85415,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85414,c_81151]) ).
tcf(c_85423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85212,c_81493]) ).
tcf(c_85424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85423,c_81151]) ).
tcf(c_85434,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85209,c_81493]) ).
tcf(c_85435,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85434,c_81151]) ).
tcf(c_85490,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85231,c_109]) ).
tcf(c_85494,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_85231,c_110]) ).
tcf(c_85495,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85231,c_73]) ).
tcf(c_85496,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_85495,c_103,c_81151]) ).
tcf(c_85497,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85494,c_103,c_81151]) ).
tcf(c_85500,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85490,c_103,c_81151]) ).
tcf(c_85504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81494,c_70]) ).
tcf(c_85506,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_81494,c_24035]) ).
tcf(c_85507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81494,c_17825]) ).
tcf(c_85508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_81494,c_17392]) ).
tcf(c_85509,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_81494,c_14477]) ).
tcf(c_85510,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81494,c_5155]) ).
tcf(c_85515,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81494,c_145]) ).
tcf(c_85517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_81494,c_70]) ).
tcf(c_85518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_81494,c_76]) ).
tcf(c_85519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81494,c_68]) ).
tcf(c_85520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xp),X0),sdtasdt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_81494,c_68]) ).
tcf(c_85522,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_81494,c_77]) ).
tcf(c_85523,plain,
sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_85515,c_103,c_81151]) ).
tcf(c_85524,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85510,c_103,c_81151]) ).
tcf(c_85527,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85522,c_103,c_81151]) ).
tcf(c_85531,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xp),X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85518,c_103,c_81151]) ).
tcf(c_85536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85519,c_103,c_81151]) ).
tcf(c_85541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85517,c_103,c_81151]) ).
tcf(c_85546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85504,c_103,c_81151]) ).
tcf(c_85551,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85509,c_103,c_81151]) ).
tcf(c_85556,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85506,c_103,c_81151]) ).
tcf(c_85562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85508,c_103,c_81151]) ).
tcf(c_85570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85507,c_103,c_81151]) ).
tcf(c_85580,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_85523,c_8700]) ).
tcf(c_85583,plain,
( ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85523,c_73]) ).
tcf(c_85584,plain,
sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_85583,c_81151]) ).
tcf(c_85586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xq)),sdtasdt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81798,c_70]) ).
tcf(c_85589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_81798,c_17825]) ).
tcf(c_85590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81798,c_17392]) ).
tcf(c_85591,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_81798,c_14477]) ).
tcf(c_85597,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81798,c_145]) ).
tcf(c_85599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81798,c_70]) ).
tcf(c_85600,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_81798,c_76]) ).
tcf(c_85601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_81798,c_68]) ).
tcf(c_85602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81798,c_68]) ).
tcf(c_85604,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(X0,sdtasdt0(xn,xq)) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_81798,c_77]) ).
tcf(c_85606,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_51524]) ).
tcf(c_85607,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_49956]) ).
tcf(c_85608,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81798,c_47638]) ).
tcf(c_85609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_41879]) ).
tcf(c_85610,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_46832]) ).
tcf(c_85611,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_43963]) ).
tcf(c_85612,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_43470]) ).
tcf(c_85613,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_43085]) ).
tcf(c_85614,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_42039]) ).
tcf(c_85615,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_35146]) ).
tcf(c_85616,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_26041]) ).
tcf(c_85617,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_26044]) ).
tcf(c_85618,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,xq)),sz00) ),
inference(superposition,[status(thm)],[c_81798,c_26052]) ).
tcf(c_85619,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_15930]) ).
tcf(c_85620,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_15792]) ).
tcf(c_85621,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_24215]) ).
tcf(c_85622,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xn,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_24215]) ).
tcf(c_85623,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_15931]) ).
tcf(c_85624,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_24885]) ).
tcf(c_85625,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_15793]) ).
tcf(c_85626,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_81798,c_8652]) ).
tcf(c_85627,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_45030]) ).
tcf(c_85628,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_85597,c_103,c_81668]) ).
tcf(c_85629,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xq)) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85604,c_103,c_81668]) ).
tcf(c_85633,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85600,c_103,c_81668]) ).
tcf(c_85637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sdtasdt0(xn,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85599,c_103,c_81668]) ).
tcf(c_85643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85602,c_103,c_81668]) ).
tcf(c_85648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85601,c_103,c_81668]) ).
tcf(c_85653,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85591,c_103,c_81668]) ).
tcf(c_85658,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xn,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85626,c_81668]) ).
tcf(c_85663,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85625,c_81668]) ).
tcf(c_85669,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85623,c_81668]) ).
tcf(c_85675,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85622,c_81798]) ).
tcf(c_85676,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85675,c_81668]) ).
tcf(c_85684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85589,c_103,c_81668]) ).
tcf(c_85692,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85620,c_81668]) ).
tcf(c_85699,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85619,c_81668]) ).
tcf(c_85706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85590,c_103,c_81668]) ).
tcf(c_85721,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85618,c_81798]) ).
tcf(c_85722,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85721,c_81668]) ).
tcf(c_85728,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85617,c_81798]) ).
tcf(c_85729,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85728,c_81668]) ).
tcf(c_85736,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85615,c_81668]) ).
tcf(c_85744,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85616,c_81798]) ).
tcf(c_85745,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85744,c_81668]) ).
tcf(c_85753,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85610,c_81798]) ).
tcf(c_85754,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85753,c_81668]) ).
tcf(c_85761,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq)) ),
inference(light_normalisation,[status(thm)],[c_85608,c_81798]) ).
tcf(c_85762,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85761,c_81668]) ).
tcf(c_85769,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85614,c_81798]) ).
tcf(c_85770,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85769,c_81668]) ).
tcf(c_85778,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85613,c_81668]) ).
tcf(c_85786,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85612,c_81668]) ).
tcf(c_85794,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85611,c_81668]) ).
tcf(c_85801,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85627,c_81798]) ).
tcf(c_85802,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85801,c_81668]) ).
tcf(c_85811,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85607,c_81798]) ).
tcf(c_85812,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85811,c_81668]) ).
tcf(c_85820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85609,c_81798]) ).
tcf(c_85821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85820,c_81668]) ).
tcf(c_85831,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_85606,c_81798]) ).
tcf(c_85832,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85831,c_81668]) ).
tcf(c_86252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_85074,c_109]) ).
tcf(c_86253,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_85074,c_11962]) ).
tcf(c_86254,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_85074,c_8700]) ).
tcf(c_86255,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_85074,c_3979]) ).
tcf(c_86256,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_85074,c_110]) ).
tcf(c_86257,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_85074,c_73]) ).
tcf(c_86258,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(superposition,[status(thm)],[c_85074,c_5863]) ).
tcf(c_86261,plain,
( sdtlseqdt0(sdtasdt0(xn,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86254,c_80869]) ).
tcf(c_86267,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86252,c_80869]) ).
tcf(c_86274,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86258,c_80869]) ).
tcf(c_86280,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86257,c_80869]) ).
tcf(c_86285,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86256,c_80869]) ).
tcf(c_86301,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85551,c_109]) ).
tcf(c_86302,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_85551,c_11962]) ).
tcf(c_86303,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_85551,c_8700]) ).
tcf(c_86304,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_85551,c_3979]) ).
tcf(c_86305,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85551,c_110]) ).
tcf(c_86306,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_85551,c_73]) ).
tcf(c_86307,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_85551,c_5863]) ).
tcf(c_86310,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86303,c_81151]) ).
tcf(c_86316,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86301,c_81151]) ).
tcf(c_86323,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86307,c_81151]) ).
tcf(c_86329,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86306,c_81151]) ).
tcf(c_86334,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86305,c_81151]) ).
tcf(c_86398,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_89]) ).
tcf(c_86400,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_27527]) ).
tcf(c_86401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_18982]) ).
tcf(c_86402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_18291]) ).
tcf(c_86403,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_15630]) ).
tcf(c_86405,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23919,c_91]) ).
tcf(c_86406,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_5229]) ).
tcf(c_86407,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_90]) ).
tcf(c_86410,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),X0) ),
inference(superposition,[status(thm)],[c_23919,c_87]) ).
tcf(c_86411,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_85]) ).
tcf(c_86412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_87]) ).
tcf(c_86413,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_23919,c_92]) ).
tcf(c_86414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(superposition,[status(thm)],[c_23919,c_89]) ).
tcf(c_86415,plain,
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86411,c_69905,c_22296]) ).
tcf(c_86420,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86405,c_22301,c_22296]) ).
tcf(c_86425,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86413,c_22296]) ).
tcf(c_86431,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86403,c_2614,c_22296]) ).
tcf(c_86437,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86400,c_2614,c_22296]) ).
tcf(c_86444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86414,c_22296]) ).
tcf(c_86451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86412,c_22301,c_22296]) ).
tcf(c_86457,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86410,c_22301,c_22296]) ).
tcf(c_86463,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86398,c_22296]) ).
tcf(c_86470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86402,c_22301,c_2614,c_22296]) ).
tcf(c_86478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86401,c_2614,c_22296]) ).
tcf(c_86487,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_85628,c_109]) ).
tcf(c_86491,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_85628,c_110]) ).
tcf(c_86492,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_85628,c_73]) ).
tcf(c_86493,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xn,xq))) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_86492,c_103,c_81668]) ).
tcf(c_86494,plain,
( ( sdtasdt0(xn,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86491,c_103,c_81668]) ).
tcf(c_86497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86487,c_103,c_81668]) ).
tcf(c_86501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81799,c_70]) ).
tcf(c_86503,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_81799,c_24035]) ).
tcf(c_86504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81799,c_17825]) ).
tcf(c_86505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_81799,c_17392]) ).
tcf(c_86506,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_81799,c_14477]) ).
tcf(c_86507,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81799,c_5155]) ).
tcf(c_86512,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81799,c_145]) ).
tcf(c_86514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(superposition,[status(thm)],[c_81799,c_70]) ).
tcf(c_86515,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(sdtasdt0(xn,xq),X0) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_81799,c_76]) ).
tcf(c_86516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81799,c_68]) ).
tcf(c_86517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xq),X0),sdtasdt0(xn,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_81799,c_68]) ).
tcf(c_86519,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xq) ) ),
inference(superposition,[status(thm)],[c_81799,c_77]) ).
tcf(c_86520,plain,
sdtlseqdt0(sdtasdt0(xn,xq),sdtasdt0(xn,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_86512,c_103,c_81668]) ).
tcf(c_86521,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86507,c_103,c_81668]) ).
tcf(c_86524,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86519,c_103,c_81668]) ).
tcf(c_86528,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xq),X0) != sdtasdt0(xn,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86515,c_103,c_81668]) ).
tcf(c_86533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(sdtasdt0(xn,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86516,c_103,c_81668]) ).
tcf(c_86538,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86514,c_103,c_81668]) ).
tcf(c_86543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86501,c_103,c_81668]) ).
tcf(c_86548,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86506,c_103,c_81668]) ).
tcf(c_86553,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86503,c_103,c_81668]) ).
tcf(c_86559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86505,c_103,c_81668]) ).
tcf(c_86567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86504,c_103,c_81668]) ).
tcf(c_86636,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_86520,c_8700]) ).
tcf(c_86639,plain,
( ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),sdtasdt0(xn,xq))) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_86520,c_73]) ).
tcf(c_86640,plain,
sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),sdtasdt0(xn,xq))) = sdtasdt0(xn,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_86639,c_81668]) ).
tcf(c_86650,plain,
sdtasdt0(sK0,sK1) = sdtasdt0(sK1,sK0),
inference(superposition,[status(thm)],[c_55,c_2778]) ).
tcf(c_86651,plain,
sdtasdt0(sK0,xp) = sdtasdt0(xp,sK0),
inference(superposition,[status(thm)],[c_59,c_2778]) ).
tcf(c_86652,plain,
sdtasdt0(sK0,xq) = sdtasdt0(xq,sK0),
inference(superposition,[status(thm)],[c_62,c_2778]) ).
tcf(c_86653,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sK0) = sdtasdt0(sK0,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2778]) ).
tcf(c_86654,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),sK0) = sdtasdt0(sK0,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2778]) ).
tcf(c_86655,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK0) = sdtasdt0(sK0,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2778]) ).
tcf(c_86656,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),sK0) = sdtasdt0(sK0,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2778]) ).
tcf(c_86657,plain,
sdtasdt0(sK0,sz00) = sdtasdt0(sz00,sK0),
inference(superposition,[status(thm)],[c_103,c_2778]) ).
tcf(c_86658,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sK0) = sdtasdt0(sK0,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2778]) ).
tcf(c_86659,plain,
sdtasdt0(sdtasdt0(xl,xq),sK0) = sdtasdt0(sK0,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2778]) ).
tcf(c_86660,plain,
sdtasdt0(sdtpldt0(xp,xq),sK0) = sdtasdt0(sK0,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2778]) ).
tcf(c_86661,plain,
sdtasdt0(sdtpldt0(xl,xm),sK0) = sdtasdt0(sK0,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2778]) ).
tcf(c_86662,plain,
sdtasdt0(sdtpldt0(xl,xn),sK0) = sdtasdt0(sK0,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2778]) ).
tcf(c_86663,plain,
sdtasdt0(sdtpldt0(xl,sK0),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2778]) ).
tcf(c_86664,plain,
sdtasdt0(sdtpldt0(xl,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2778]) ).
tcf(c_86665,plain,
sdtasdt0(sdtpldt0(xl,xp),sK0) = sdtasdt0(sK0,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2778]) ).
tcf(c_86666,plain,
sdtasdt0(sdtpldt0(xl,xq),sK0) = sdtasdt0(sK0,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2778]) ).
tcf(c_86667,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2778]) ).
tcf(c_86668,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2778]) ).
tcf(c_86669,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2778]) ).
tcf(c_86670,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2778]) ).
tcf(c_86671,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2778]) ).
tcf(c_86672,plain,
sdtasdt0(sdtpldt0(xm,sK0),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2778]) ).
tcf(c_86673,plain,
sdtasdt0(sdtpldt0(xm,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2778]) ).
tcf(c_86674,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2778]) ).
tcf(c_86675,plain,
sdtasdt0(sdtpldt0(xm,xp),sK0) = sdtasdt0(sK0,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2778]) ).
tcf(c_86676,plain,
sdtasdt0(sdtpldt0(xm,xq),sK0) = sdtasdt0(sK0,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2778]) ).
tcf(c_86677,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2778]) ).
tcf(c_86678,plain,
sdtasdt0(sdtpldt0(xn,sK0),sK0) = sdtasdt0(sK0,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2778]) ).
tcf(c_86679,plain,
sdtasdt0(sdtpldt0(xn,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2778]) ).
tcf(c_86680,plain,
sdtasdt0(sdtpldt0(xn,xp),sK0) = sdtasdt0(sK0,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2778]) ).
tcf(c_86681,plain,
sdtasdt0(sdtpldt0(xn,xq),sK0) = sdtasdt0(sK0,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2778]) ).
tcf(c_86682,plain,
sdtasdt0(sdtpldt0(sK0,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2778]) ).
tcf(c_86683,plain,
sdtasdt0(sdtpldt0(xp,sK0),sK0) = sdtasdt0(sK0,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2778]) ).
tcf(c_86684,plain,
sdtasdt0(sdtpldt0(xq,sK0),sK0) = sdtasdt0(sK0,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2778]) ).
tcf(c_86685,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2778]) ).
tcf(c_86686,plain,
sdtasdt0(sdtpldt0(xp,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2778]) ).
tcf(c_86687,plain,
sdtasdt0(sdtpldt0(xq,sK1),sK0) = sdtasdt0(sK0,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2778]) ).
tcf(c_86688,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2778]) ).
tcf(c_86689,plain,
sdtasdt0(sdtasdt0(xl,xm),sK0) = sdtasdt0(sK0,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2778]) ).
tcf(c_86690,plain,
sdtasdt0(sdtasdt0(xl,xn),sK0) = sdtasdt0(sK0,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2778]) ).
tcf(c_86691,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2778]) ).
tcf(c_86692,plain,
sdtasdt0(sdtasdt0(xm,xn),sK0) = sdtasdt0(sK0,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2778]) ).
tcf(c_86693,plain,
sdtasdt0(sdtasdt0(xm,sK0),sK0) = sdtasdt0(sK0,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2778]) ).
tcf(c_86694,plain,
sdtasdt0(sdtasdt0(xm,sK1),sK0) = sdtasdt0(sK0,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2778]) ).
tcf(c_86695,plain,
sdtasdt0(sdtasdt0(xm,xp),sK0) = sdtasdt0(sK0,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2778]) ).
tcf(c_86696,plain,
sdtasdt0(sdtasdt0(xm,xq),sK0) = sdtasdt0(sK0,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2778]) ).
tcf(c_86697,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2778]) ).
tcf(c_86698,plain,
sdtasdt0(sdtasdt0(xn,sK0),sK0) = sdtasdt0(sK0,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2778]) ).
tcf(c_86699,plain,
sdtasdt0(sdtasdt0(xn,sK1),sK0) = sdtasdt0(sK0,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2778]) ).
tcf(c_86700,plain,
sdtasdt0(sdtasdt0(xn,xp),sK0) = sdtasdt0(sK0,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2778]) ).
tcf(c_86701,plain,
sdtasdt0(sdtasdt0(xn,xq),sK0) = sdtasdt0(sK0,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2778]) ).
tcf(c_87096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(X0,sK0))
| ( sK0 = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_86650,c_89]) ).
tcf(c_87098,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_86650,c_27527]) ).
tcf(c_87099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_86650,c_18982]) ).
tcf(c_87100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_86650,c_18291]) ).
tcf(c_87101,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_86650,c_15630]) ).
tcf(c_87103,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_86650,c_91]) ).
tcf(c_87104,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sK0 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86650,c_5229]) ).
tcf(c_87105,plain,
( ( sK1 = sz00 )
| ( sK0 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ( sdtasdt0(sK0,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_86650,c_90]) ).
tcf(c_87106,plain,
( doDivides0(sK1,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86650,c_142]) ).
tcf(c_87107,plain,
( aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86650,c_97]) ).
tcf(c_87108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_86650,c_87]) ).
tcf(c_87109,plain,
( sdtlseqdt0(sK1,sdtasdt0(sK0,sK1))
| ( sK0 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86650,c_85]) ).
tcf(c_87110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(sK0,sK1))
| ( sK1 = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_86650,c_87]) ).
tcf(c_87111,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK0) != sdtasdt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_86650,c_92]) ).
tcf(c_87112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK1))
| ( sK0 = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_86650,c_89]) ).
tcf(c_87113,plain,
aNaturalNumber0(sdtasdt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_87107,c_55,c_52]) ).
tcf(c_87114,plain,
doDivides0(sK1,sdtasdt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_87106,c_55,c_52]) ).
tcf(c_87115,plain,
( sdtlseqdt0(sK1,sdtasdt0(sK0,sK1))
| ( sK0 = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87109,c_55,c_52]) ).
tcf(c_87118,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sK0 = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87104,c_55,c_52]) ).
tcf(c_87122,plain,
( ( sK1 = sz00 )
| ( sK0 = sz00 )
| ( sdtasdt0(sK0,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87105,c_55,c_52]) ).
tcf(c_87126,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK0) != sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87111,c_55,c_52]) ).
tcf(c_87131,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87103,c_55,c_52]) ).
tcf(c_87136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sdtasdt0(sK0,sK1))
| ( sK0 = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87112,c_55,c_52]) ).
tcf(c_87142,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(sK0,sK1))
| ( sK1 = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87110,c_55,c_52]) ).
tcf(c_87148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87108,c_55,c_52]) ).
tcf(c_87154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(X0,sK0))
| ( sK0 = sz00 )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87096,c_55,c_52]) ).
tcf(c_87160,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87101,c_55,c_52]) ).
tcf(c_87166,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87098,c_55,c_52]) ).
tcf(c_87173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87100,c_55,c_52]) ).
tcf(c_87182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87099,c_55,c_52]) ).
tcf(c_87244,plain,
sdtasdt0(sdtasdt0(sK0,sK1),sK0) = sdtasdt0(sK0,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2778]) ).
tcf(c_87245,plain,
sdtasdt0(sdtasdt0(sK0,sK1),xn) = sdtasdt0(xn,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2777]) ).
tcf(c_87246,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) )
| ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_87113,c_13871]) ).
tcf(c_87247,plain,
sdtasdt0(sdtasdt0(sK0,sK1),xm) = sdtasdt0(xm,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2776]) ).
tcf(c_87248,plain,
sdtasdt0(sdtasdt0(sK0,sK1),xl) = sdtasdt0(xl,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2775]) ).
tcf(c_87249,plain,
sdtpldt0(sdtasdt0(sK0,sK1),sz00) = sdtpldt0(sz00,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2709]) ).
tcf(c_87250,plain,
sdtpldt0(sdtasdt0(sK0,sK1),xq) = sdtpldt0(xq,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2705]) ).
tcf(c_87251,plain,
sdtpldt0(sdtasdt0(sK0,sK1),xp) = sdtpldt0(xp,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2704]) ).
tcf(c_87252,plain,
sdtpldt0(sdtasdt0(sK0,sK1),sK1) = sdtpldt0(sK1,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2703]) ).
tcf(c_87253,plain,
sdtpldt0(sdtasdt0(sK0,sK1),sK0) = sdtpldt0(sK0,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2702]) ).
tcf(c_87254,plain,
sdtpldt0(sdtasdt0(sK0,sK1),xn) = sdtpldt0(xn,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2701]) ).
tcf(c_87255,plain,
sdtpldt0(sdtasdt0(sK0,sK1),xm) = sdtpldt0(xm,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2700]) ).
tcf(c_87256,plain,
sdtpldt0(sdtasdt0(sK0,sK1),xl) = sdtpldt0(xl,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2699]) ).
tcf(c_87257,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(sK0,sK1)),sdtasdt0(X0,sdtasdt0(sK0,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(sK0,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87113,c_79]) ).
tcf(c_87258,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sK0,sK1),X1),sdtasdt0(sdtasdt0(sK0,sK1),X0)) = sdtasdt0(sdtasdt0(sK0,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87113,c_78]) ).
tcf(c_87259,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sK0,sK1),X1),X0) = sdtasdt0(sdtasdt0(sK0,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87113,c_95]) ).
tcf(c_87260,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sK0,sK1),X1),X0) = sdtpldt0(sdtasdt0(sK0,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87113,c_82]) ).
tcf(c_87261,plain,
! [X0: $i] :
( ( sdtasdt0(sK0,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(sK0,sK1),X0),sdtasdt0(sK0,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87113,c_152]) ).
tcf(c_87262,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sK0,sK1),X0) = sdtasdt0(X0,sdtasdt0(sK0,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87113,c_96]) ).
tcf(c_87263,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sK0,sK1),X0) = sdtpldt0(X0,sdtasdt0(sK0,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87113,c_83]) ).
tcf(c_87264,plain,
sdtasdt0(sz00,sdtasdt0(sK0,sK1)) = sz00,
inference(superposition,[status(thm)],[c_87113,c_94]) ).
tcf(c_87265,plain,
sdtasdt0(sdtasdt0(sK0,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_87113,c_93]) ).
tcf(c_87266,plain,
sdtpldt0(sz00,sdtasdt0(sK0,sK1)) = sdtasdt0(sK0,sK1),
inference(superposition,[status(thm)],[c_87113,c_81]) ).
tcf(c_87267,plain,
sdtpldt0(sdtasdt0(sK0,sK1),sz00) = sdtasdt0(sK0,sK1),
inference(superposition,[status(thm)],[c_87113,c_80]) ).
tcf(c_87388,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(sK0,sK1),sK1)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87114,c_106]) ).
tcf(c_87389,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ doDivides0(sdtasdt0(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_87114,c_99]) ).
tcf(c_87390,plain,
( ( sdtasdt0(sK1,sK3(sK1,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87114,c_102]) ).
tcf(c_87391,plain,
sdtasdt0(sK1,sK3(sK1,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_87390,c_55,c_87113]) ).
tcf(c_87392,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87389,c_55,c_87113]) ).
tcf(c_87396,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(sK0,sK1),sK1)) = sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87388,c_55,c_87113]) ).
tcf(c_87399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sK0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_86651,c_89]) ).
tcf(c_87401,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86651,c_27527]) ).
tcf(c_87402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86651,c_18982]) ).
tcf(c_87403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86651,c_18291]) ).
tcf(c_87404,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86651,c_15630]) ).
tcf(c_87406,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_86651,c_91]) ).
tcf(c_87407,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86651,c_5229]) ).
tcf(c_87408,plain,
( ( sz00 = xp )
| ( sK0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ( sdtasdt0(xp,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_86651,c_90]) ).
tcf(c_87409,plain,
( doDivides0(sK0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86651,c_142]) ).
tcf(c_87410,plain,
( aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86651,c_97]) ).
tcf(c_87411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_86651,c_87]) ).
tcf(c_87412,plain,
( sdtlseqdt0(sK0,sdtasdt0(xp,sK0))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86651,c_85]) ).
tcf(c_87413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xp,sK0))
| ( sK0 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_86651,c_87]) ).
tcf(c_87414,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sK0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_86651,c_92]) ).
tcf(c_87415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,sK0))
| ( sz00 = xp )
| ( X0 = sK0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_86651,c_89]) ).
tcf(c_87416,plain,
aNaturalNumber0(sdtasdt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_87410,c_59,c_52]) ).
tcf(c_87417,plain,
doDivides0(sK0,sdtasdt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_87409,c_59,c_52]) ).
tcf(c_87418,plain,
( sdtlseqdt0(sK0,sdtasdt0(xp,sK0))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87412,c_59,c_52]) ).
tcf(c_87421,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87407,c_59,c_52]) ).
tcf(c_87425,plain,
( ( sz00 = xp )
| ( sK0 = sz00 )
| ( sdtasdt0(xp,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87408,c_59,c_52]) ).
tcf(c_87429,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87414,c_59,c_52]) ).
tcf(c_87434,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87406,c_59,c_52]) ).
tcf(c_87439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,sK0))
| ( sz00 = xp )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87415,c_59,c_52]) ).
tcf(c_87445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xp,sK0))
| ( sK0 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87413,c_59,c_52]) ).
tcf(c_87451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87411,c_59,c_52]) ).
tcf(c_87457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87399,c_59,c_52]) ).
tcf(c_87463,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87404,c_59,c_52]) ).
tcf(c_87469,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87401,c_59,c_52]) ).
tcf(c_87476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87403,c_59,c_52]) ).
tcf(c_87485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87402,c_59,c_52]) ).
tcf(c_87573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_86548,c_109]) ).
tcf(c_87574,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_86548,c_11962]) ).
tcf(c_87575,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_86548,c_8700]) ).
tcf(c_87576,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_86548,c_3979]) ).
tcf(c_87577,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_86548,c_110]) ).
tcf(c_87578,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_86548,c_73]) ).
tcf(c_87579,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(superposition,[status(thm)],[c_86548,c_5863]) ).
tcf(c_87582,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87575,c_81668]) ).
tcf(c_87588,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87573,c_81668]) ).
tcf(c_87595,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87579,c_81668]) ).
tcf(c_87601,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87578,c_81668]) ).
tcf(c_87606,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87577,c_81668]) ).
tcf(c_87689,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_11984,c_87160]) ).
tcf(c_87691,plain,
( sdtlseqdt0(sz00,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_108,c_87160]) ).
tcf(c_87692,plain,
( sdtlseqdt0(sz00,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87691,c_103,c_87113]) ).
tcf(c_87699,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_87463,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_87463]) ).
tcf(c_87700,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(renaming,[status(thm)],[c_87699]) ).
tcf(c_87710,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_11984,c_87700]) ).
tcf(c_87712,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_108,c_87700]) ).
tcf(c_87713,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87712,c_103]) ).
tcf(c_87728,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_89]) ).
tcf(c_87730,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_27527]) ).
tcf(c_87731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_18982]) ).
tcf(c_87732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_18291]) ).
tcf(c_87733,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_15630]) ).
tcf(c_87735,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23920,c_91]) ).
tcf(c_87736,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_5229]) ).
tcf(c_87737,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_90]) ).
tcf(c_87740,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(superposition,[status(thm)],[c_23920,c_87]) ).
tcf(c_87741,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_85]) ).
tcf(c_87742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_87]) ).
tcf(c_87743,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23920,c_92]) ).
tcf(c_87744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_23920,c_89]) ).
tcf(c_87745,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87741,c_69905,c_22296]) ).
tcf(c_87750,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87735,c_22301,c_22296]) ).
tcf(c_87755,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87743,c_22296]) ).
tcf(c_87761,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87733,c_2614,c_22296]) ).
tcf(c_87767,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87730,c_2614,c_22296]) ).
tcf(c_87774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87744,c_22296]) ).
tcf(c_87781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87742,c_22301,c_22296]) ).
tcf(c_87787,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87740,c_22301,c_22296]) ).
tcf(c_87793,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87728,c_22296]) ).
tcf(c_87800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87732,c_22301,c_2614,c_22296]) ).
tcf(c_87808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87731,c_2614,c_22296]) ).
tcf(c_87817,plain,
sdtasdt0(sdtasdt0(xp,sK0),sK0) = sdtasdt0(sK0,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2778]) ).
tcf(c_87818,plain,
sdtasdt0(sdtasdt0(xp,sK0),xn) = sdtasdt0(xn,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2777]) ).
tcf(c_87819,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_87416,c_13871]) ).
tcf(c_87820,plain,
sdtasdt0(sdtasdt0(xp,sK0),xm) = sdtasdt0(xm,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2776]) ).
tcf(c_87821,plain,
sdtasdt0(sdtasdt0(xp,sK0),xl) = sdtasdt0(xl,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2775]) ).
tcf(c_87822,plain,
sdtpldt0(sdtasdt0(xp,sK0),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2709]) ).
tcf(c_87823,plain,
sdtpldt0(sdtasdt0(xp,sK0),xq) = sdtpldt0(xq,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2705]) ).
tcf(c_87824,plain,
sdtpldt0(sdtasdt0(xp,sK0),xp) = sdtpldt0(xp,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2704]) ).
tcf(c_87825,plain,
sdtpldt0(sdtasdt0(xp,sK0),sK1) = sdtpldt0(sK1,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2703]) ).
tcf(c_87826,plain,
sdtpldt0(sdtasdt0(xp,sK0),sK0) = sdtpldt0(sK0,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2702]) ).
tcf(c_87827,plain,
sdtpldt0(sdtasdt0(xp,sK0),xn) = sdtpldt0(xn,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2701]) ).
tcf(c_87828,plain,
sdtpldt0(sdtasdt0(xp,sK0),xm) = sdtpldt0(xm,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2700]) ).
tcf(c_87829,plain,
sdtpldt0(sdtasdt0(xp,sK0),xl) = sdtpldt0(xl,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2699]) ).
tcf(c_87830,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xp,sK0)),sdtasdt0(X0,sdtasdt0(xp,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xp,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87416,c_79]) ).
tcf(c_87831,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sK0),X1),sdtasdt0(sdtasdt0(xp,sK0),X0)) = sdtasdt0(sdtasdt0(xp,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87416,c_78]) ).
tcf(c_87832,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sK0),X1),X0) = sdtasdt0(sdtasdt0(xp,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87416,c_95]) ).
tcf(c_87833,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sK0),X1),X0) = sdtpldt0(sdtasdt0(xp,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87416,c_82]) ).
tcf(c_87834,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,sK0),X0),sdtasdt0(xp,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87416,c_152]) ).
tcf(c_87835,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sK0),X0) = sdtasdt0(X0,sdtasdt0(xp,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87416,c_96]) ).
tcf(c_87836,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sK0),X0) = sdtpldt0(X0,sdtasdt0(xp,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_87416,c_83]) ).
tcf(c_87837,plain,
sdtasdt0(sz00,sdtasdt0(xp,sK0)) = sz00,
inference(superposition,[status(thm)],[c_87416,c_94]) ).
tcf(c_87838,plain,
sdtasdt0(sdtasdt0(xp,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_87416,c_93]) ).
tcf(c_87839,plain,
sdtpldt0(sz00,sdtasdt0(xp,sK0)) = sdtasdt0(xp,sK0),
inference(superposition,[status(thm)],[c_87416,c_81]) ).
tcf(c_87840,plain,
sdtpldt0(sdtasdt0(xp,sK0),sz00) = sdtasdt0(xp,sK0),
inference(superposition,[status(thm)],[c_87416,c_80]) ).
tcf(c_88497,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xp,sK0),sK0)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87417,c_106]) ).
tcf(c_88498,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ doDivides0(sdtasdt0(xp,sK0),X0) ),
inference(superposition,[status(thm)],[c_87417,c_99]) ).
tcf(c_88499,plain,
( ( sdtasdt0(sK0,sK3(sK0,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87417,c_102]) ).
tcf(c_88500,plain,
sdtasdt0(sK0,sK3(sK0,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_88499,c_52,c_87416]) ).
tcf(c_88501,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88498,c_52,c_87416]) ).
tcf(c_88505,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xp,sK0),sK0)) = sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88497,c_52,c_87416]) ).
tcf(c_88508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sK0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(superposition,[status(thm)],[c_86652,c_89]) ).
tcf(c_88510,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86652,c_27527]) ).
tcf(c_88511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86652,c_18982]) ).
tcf(c_88512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86652,c_18291]) ).
tcf(c_88513,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_86652,c_15630]) ).
tcf(c_88515,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_86652,c_91]) ).
tcf(c_88516,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86652,c_5229]) ).
tcf(c_88517,plain,
( ( sz00 = xq )
| ( sK0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ( sdtasdt0(xq,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_86652,c_90]) ).
tcf(c_88518,plain,
( doDivides0(sK0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86652,c_142]) ).
tcf(c_88519,plain,
( aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86652,c_97]) ).
tcf(c_88520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_86652,c_87]) ).
tcf(c_88521,plain,
( sdtlseqdt0(sK0,sdtasdt0(xq,sK0))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0) ),
inference(superposition,[status(thm)],[c_86652,c_85]) ).
tcf(c_88522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xq,sK0))
| ( sK0 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_86652,c_87]) ).
tcf(c_88523,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sK0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sdtasdt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_86652,c_92]) ).
tcf(c_88524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(xq,sK0))
| ( sz00 = xq )
| ( X0 = sK0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(superposition,[status(thm)],[c_86652,c_89]) ).
tcf(c_88525,plain,
aNaturalNumber0(sdtasdt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_88519,c_62,c_52]) ).
tcf(c_88526,plain,
doDivides0(sK0,sdtasdt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_88518,c_62,c_52]) ).
tcf(c_88527,plain,
( sdtlseqdt0(sK0,sdtasdt0(xq,sK0))
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88521,c_62,c_52]) ).
tcf(c_88530,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88516,c_62,c_52]) ).
tcf(c_88534,plain,
( ( sz00 = xq )
| ( sK0 = sz00 )
| ( sdtasdt0(xq,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88517,c_62,c_52]) ).
tcf(c_88538,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88523,c_62,c_52]) ).
tcf(c_88543,plain,
! [X0: $i] :
( ( sK0 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK0,X0) != sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88515,c_62,c_52]) ).
tcf(c_88548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(xq,sK0))
| ( sz00 = xq )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88524,c_62,c_52]) ).
tcf(c_88554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sdtasdt0(xq,sK0))
| ( sK0 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88522,c_62,c_52]) ).
tcf(c_88560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtasdt0(sK0,X0))
| ( sK0 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88520,c_62,c_52]) ).
tcf(c_88566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sK0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88508,c_62,c_52]) ).
tcf(c_88572,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88513,c_62,c_52]) ).
tcf(c_88578,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88510,c_62,c_52]) ).
tcf(c_88585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,X0),sK2(xq,xp))
| ( sK0 = sz00 )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88512,c_62,c_52]) ).
tcf(c_88594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sK0 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88511,c_62,c_52]) ).
tcf(c_88610,plain,
sdtasdt0(sdtasdt0(xq,sK0),sK0) = sdtasdt0(sK0,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2778]) ).
tcf(c_88611,plain,
sdtasdt0(sdtasdt0(xq,sK0),xn) = sdtasdt0(xn,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2777]) ).
tcf(c_88612,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) )
| ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_88525,c_13871]) ).
tcf(c_88613,plain,
sdtasdt0(sdtasdt0(xq,sK0),xm) = sdtasdt0(xm,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2776]) ).
tcf(c_88614,plain,
sdtasdt0(sdtasdt0(xq,sK0),xl) = sdtasdt0(xl,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2775]) ).
tcf(c_88615,plain,
sdtpldt0(sdtasdt0(xq,sK0),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2709]) ).
tcf(c_88616,plain,
sdtpldt0(sdtasdt0(xq,sK0),xq) = sdtpldt0(xq,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2705]) ).
tcf(c_88617,plain,
sdtpldt0(sdtasdt0(xq,sK0),xp) = sdtpldt0(xp,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2704]) ).
tcf(c_88618,plain,
sdtpldt0(sdtasdt0(xq,sK0),sK1) = sdtpldt0(sK1,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2703]) ).
tcf(c_88619,plain,
sdtpldt0(sdtasdt0(xq,sK0),sK0) = sdtpldt0(sK0,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2702]) ).
tcf(c_88620,plain,
sdtpldt0(sdtasdt0(xq,sK0),xn) = sdtpldt0(xn,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2701]) ).
tcf(c_88621,plain,
sdtpldt0(sdtasdt0(xq,sK0),xm) = sdtpldt0(xm,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2700]) ).
tcf(c_88622,plain,
sdtpldt0(sdtasdt0(xq,sK0),xl) = sdtpldt0(xl,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2699]) ).
tcf(c_88623,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xq,sK0)),sdtasdt0(X0,sdtasdt0(xq,sK0))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xq,sK0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88525,c_79]) ).
tcf(c_88624,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sK0),X1),sdtasdt0(sdtasdt0(xq,sK0),X0)) = sdtasdt0(sdtasdt0(xq,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88525,c_78]) ).
tcf(c_88625,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sK0),X1),X0) = sdtasdt0(sdtasdt0(xq,sK0),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88525,c_95]) ).
tcf(c_88626,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sK0),X1),X0) = sdtpldt0(sdtasdt0(xq,sK0),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88525,c_82]) ).
tcf(c_88627,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xq,sK0),X0),sdtasdt0(xq,sK0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88525,c_152]) ).
tcf(c_88628,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sK0),X0) = sdtasdt0(X0,sdtasdt0(xq,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88525,c_96]) ).
tcf(c_88629,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sK0),X0) = sdtpldt0(X0,sdtasdt0(xq,sK0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88525,c_83]) ).
tcf(c_88630,plain,
sdtasdt0(sz00,sdtasdt0(xq,sK0)) = sz00,
inference(superposition,[status(thm)],[c_88525,c_94]) ).
tcf(c_88631,plain,
sdtasdt0(sdtasdt0(xq,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_88525,c_93]) ).
tcf(c_88632,plain,
sdtpldt0(sz00,sdtasdt0(xq,sK0)) = sdtasdt0(xq,sK0),
inference(superposition,[status(thm)],[c_88525,c_81]) ).
tcf(c_88633,plain,
sdtpldt0(sdtasdt0(xq,sK0),sz00) = sdtasdt0(xq,sK0),
inference(superposition,[status(thm)],[c_88525,c_80]) ).
tcf(c_88726,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xq,sK0),sK0)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88526,c_106]) ).
tcf(c_88727,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ doDivides0(sdtasdt0(xq,sK0),X0) ),
inference(superposition,[status(thm)],[c_88526,c_99]) ).
tcf(c_88728,plain,
( ( sdtasdt0(sK0,sK3(sK0,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88526,c_102]) ).
tcf(c_88729,plain,
sdtasdt0(sK0,sK3(sK0,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_88728,c_52,c_88525]) ).
tcf(c_88730,plain,
! [X0: $i] :
( doDivides0(sK0,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xq,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88727,c_52,c_88525]) ).
tcf(c_88734,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sdtsldt0(sdtasdt0(xq,sK0),sK0)) = sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88726,c_52,c_88525]) ).
tcf(c_88737,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(sK0,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87264,c_89]) ).
tcf(c_88740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87264,c_18982]) ).
tcf(c_88742,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87264,c_15630]) ).
tcf(c_88752,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ( sdtasdt0(X0,sdtasdt0(sK0,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_87264,c_92]) ).
tcf(c_88753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(sK0,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87264,c_89]) ).
tcf(c_88754,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(sK0,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88752,c_103,c_87113]) ).
tcf(c_88759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(sK0,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88753,c_103,c_87113]) ).
tcf(c_88765,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(sK0,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88737,c_103,c_87113]) ).
tcf(c_88771,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88742,c_103,c_2614,c_87113]) ).
tcf(c_88776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88740,c_103,c_2614,c_87113]) ).
tcf(c_88788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87265,c_18291]) ).
tcf(c_88791,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ( sdtasdt0(sdtasdt0(sK0,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_87265,c_91]) ).
tcf(c_88794,plain,
( doDivides0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87265,c_142]) ).
tcf(c_88796,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87265,c_87]) ).
tcf(c_88798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(sK0,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87265,c_87]) ).
tcf(c_88801,plain,
doDivides0(sdtasdt0(sK0,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_88794,c_103,c_87113]) ).
tcf(c_88802,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(sK0,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88791,c_103,c_87113]) ).
tcf(c_88807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(sK0,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88798,c_103,c_87113]) ).
tcf(c_88813,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88796,c_103,c_87113]) ).
tcf(c_88819,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88788,c_103,c_2614,c_87113]) ).
tcf(c_88827,plain,
( ( sdtasdt0(sK0,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(sK0,sK1),sdtsldt0(sz00,sdtasdt0(sK0,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_88801,c_106]) ).
tcf(c_88828,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(sK0,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_88801,c_99]) ).
tcf(c_88829,plain,
( ( sdtasdt0(sdtasdt0(sK0,sK1),sK3(sdtasdt0(sK0,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_88801,c_102]) ).
tcf(c_88830,plain,
sdtasdt0(sdtasdt0(sK0,sK1),sK3(sdtasdt0(sK0,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_88829,c_103,c_87113]) ).
tcf(c_88831,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(sK0,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88828,c_103,c_87113]) ).
tcf(c_88835,plain,
( ( sdtasdt0(sK0,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(sK0,sK1),sdtsldt0(sz00,sdtasdt0(sK0,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88827,c_103,c_87113]) ).
tcf(c_88851,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xq,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_11984,c_88572]) ).
tcf(c_88853,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_108,c_88572]) ).
tcf(c_88854,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88853,c_103,c_88525]) ).
tcf(c_88871,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_65268,c_62,c_11614,c_65268]) ).
tcf(c_88893,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_88871,c_109]) ).
tcf(c_88897,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_88871,c_110]) ).
tcf(c_88898,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_88871,c_73]) ).
tcf(c_88899,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88898,c_50]) ).
tcf(c_88907,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88897,c_50]) ).
tcf(c_88916,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88893,c_50]) ).
tcf(c_88926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_70]) ).
tcf(c_88927,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_75392]) ).
tcf(c_88928,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(superposition,[status(thm)],[c_25406,c_24035]) ).
tcf(c_88929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(superposition,[status(thm)],[c_25406,c_17825]) ).
tcf(c_88930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(superposition,[status(thm)],[c_25406,c_17392]) ).
tcf(c_88931,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(superposition,[status(thm)],[c_25406,c_14477]) ).
tcf(c_88932,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_5155]) ).
tcf(c_88935,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sz00 ) ),
inference(superposition,[status(thm)],[c_25406,c_75]) ).
tcf(c_88937,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_145]) ).
tcf(c_88938,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_84]) ).
tcf(c_88939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) ),
inference(superposition,[status(thm)],[c_25406,c_70]) ).
tcf(c_88940,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) ) ),
inference(superposition,[status(thm)],[c_25406,c_76]) ).
tcf(c_88941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_68]) ).
tcf(c_88942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_68]) ).
tcf(c_88943,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_98]) ).
tcf(c_88944,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_25406,c_77]) ).
tcf(c_88945,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_88938,c_49,c_25261]) ).
tcf(c_88946,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_88937,c_49,c_25261]) ).
tcf(c_88947,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_88935,c_58,c_49,c_25261]) ).
tcf(c_88948,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88932,c_49,c_25261]) ).
tcf(c_88951,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88944,c_49,c_25261]) ).
tcf(c_88955,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88943,c_49,c_25261]) ).
tcf(c_88960,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88940,c_49,c_25261]) ).
tcf(c_88964,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88942,c_49,c_25261]) ).
tcf(c_88969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88941,c_49,c_25261]) ).
tcf(c_88974,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88927,c_49,c_25261]) ).
tcf(c_88979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88939,c_49,c_25261]) ).
tcf(c_88984,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88931,c_49,c_25261]) ).
tcf(c_88989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88926,c_49,c_25261]) ).
tcf(c_88994,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88928,c_49,c_25261]) ).
tcf(c_89000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88930,c_49,c_25261]) ).
tcf(c_89008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88929,c_49,c_25261]) ).
tcf(c_89107,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87837,c_89]) ).
tcf(c_89110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87837,c_18982]) ).
tcf(c_89112,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87837,c_15630]) ).
tcf(c_89122,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ( sdtasdt0(X0,sdtasdt0(xp,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_87837,c_92]) ).
tcf(c_89123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87837,c_89]) ).
tcf(c_89124,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89122,c_103,c_87416]) ).
tcf(c_89129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89123,c_103,c_87416]) ).
tcf(c_89135,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89107,c_103,c_87416]) ).
tcf(c_89141,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89112,c_103,c_2614,c_87416]) ).
tcf(c_89146,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89110,c_103,c_2614,c_87416]) ).
tcf(c_89158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87838,c_18291]) ).
tcf(c_89161,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ( sdtasdt0(sdtasdt0(xp,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_87838,c_91]) ).
tcf(c_89164,plain,
( doDivides0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87838,c_142]) ).
tcf(c_89166,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87838,c_87]) ).
tcf(c_89168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87838,c_87]) ).
tcf(c_89171,plain,
doDivides0(sdtasdt0(xp,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_89164,c_103,c_87416]) ).
tcf(c_89172,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89161,c_103,c_87416]) ).
tcf(c_89177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89168,c_103,c_87416]) ).
tcf(c_89183,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89166,c_103,c_87416]) ).
tcf(c_89189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89158,c_103,c_2614,c_87416]) ).
tcf(c_89197,plain,
( ( sdtasdt0(xp,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,sK0),sdtsldt0(sz00,sdtasdt0(xp,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_89171,c_106]) ).
tcf(c_89198,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_89171,c_99]) ).
tcf(c_89199,plain,
( ( sdtasdt0(sdtasdt0(xp,sK0),sK3(sdtasdt0(xp,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_89171,c_102]) ).
tcf(c_89200,plain,
sdtasdt0(sdtasdt0(xp,sK0),sK3(sdtasdt0(xp,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_89199,c_103,c_87416]) ).
tcf(c_89201,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89198,c_103,c_87416]) ).
tcf(c_89205,plain,
( ( sdtasdt0(xp,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,sK0),sdtsldt0(sz00,sdtasdt0(xp,sK0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89197,c_103,c_87416]) ).
tcf(c_89208,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88630,c_89]) ).
tcf(c_89211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88630,c_18982]) ).
tcf(c_89213,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88630,c_15630]) ).
tcf(c_89223,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ( sdtasdt0(X0,sdtasdt0(xq,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_88630,c_92]) ).
tcf(c_89224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88630,c_89]) ).
tcf(c_89225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xq,sK0)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89223,c_103,c_88525]) ).
tcf(c_89230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK0)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89224,c_103,c_88525]) ).
tcf(c_89236,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,sK0)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89208,c_103,c_88525]) ).
tcf(c_89242,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89213,c_103,c_2614,c_88525]) ).
tcf(c_89247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89211,c_103,c_2614,c_88525]) ).
tcf(c_89259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88631,c_18291]) ).
tcf(c_89262,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ( sdtasdt0(sdtasdt0(xq,sK0),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_88631,c_91]) ).
tcf(c_89265,plain,
( doDivides0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88631,c_142]) ).
tcf(c_89267,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88631,c_87]) ).
tcf(c_89269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88631,c_87]) ).
tcf(c_89272,plain,
doDivides0(sdtasdt0(xq,sK0),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_89265,c_103,c_88525]) ).
tcf(c_89273,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xq,sK0),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89262,c_103,c_88525]) ).
tcf(c_89278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK0),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89269,c_103,c_88525]) ).
tcf(c_89284,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,sK0),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89267,c_103,c_88525]) ).
tcf(c_89290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89259,c_103,c_2614,c_88525]) ).
tcf(c_89322,plain,
( ( sdtasdt0(xq,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,sK0),sdtsldt0(sz00,sdtasdt0(xq,sK0))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_89272,c_106]) ).
tcf(c_89323,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xq,sK0),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_89272,c_99]) ).
tcf(c_89324,plain,
( ( sdtasdt0(sdtasdt0(xq,sK0),sK3(sdtasdt0(xq,sK0),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_89272,c_102]) ).
tcf(c_89325,plain,
sdtasdt0(sdtasdt0(xq,sK0),sK3(sdtasdt0(xq,sK0),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_89324,c_103,c_88525]) ).
tcf(c_89326,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xq,sK0),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89323,c_103,c_88525]) ).
tcf(c_89330,plain,
( ( sdtasdt0(xq,sK0) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,sK0),sdtsldt0(sz00,sdtasdt0(xq,sK0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89322,c_103,c_88525]) ).
tcf(c_89333,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK0) = sdtasdt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2778]) ).
tcf(c_89334,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2777]) ).
tcf(c_89335,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_88945,c_13871]) ).
tcf(c_89336,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2776]) ).
tcf(c_89337,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2775]) ).
tcf(c_89338,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2709]) ).
tcf(c_89339,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2705]) ).
tcf(c_89340,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2704]) ).
tcf(c_89341,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK1) = sdtpldt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2703]) ).
tcf(c_89342,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK0) = sdtpldt0(sK0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2702]) ).
tcf(c_89343,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2701]) ).
tcf(c_89344,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2700]) ).
tcf(c_89345,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2699]) ).
tcf(c_89346,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88945,c_79]) ).
tcf(c_89347,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88945,c_78]) ).
tcf(c_89348,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88945,c_95]) ).
tcf(c_89349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88945,c_82]) ).
tcf(c_89350,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88945,c_152]) ).
tcf(c_89351,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88945,c_96]) ).
tcf(c_89352,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88945,c_83]) ).
tcf(c_89353,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sz00,
inference(superposition,[status(thm)],[c_88945,c_94]) ).
tcf(c_89354,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) = sz00,
inference(superposition,[status(thm)],[c_88945,c_93]) ).
tcf(c_89355,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_88945,c_81]) ).
tcf(c_89356,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_88945,c_80]) ).
tcf(c_89528,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ( sK0 = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87115,c_109]) ).
tcf(c_89529,plain,
( sdtlseqdt0(sz00,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87115,c_11962]) ).
tcf(c_89530,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_87115,c_8700]) ).
tcf(c_89532,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sK1) ),
inference(superposition,[status(thm)],[c_87115,c_110]) ).
tcf(c_89533,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87115,c_73]) ).
tcf(c_89534,plain,
( ( sK0 = sz00 )
| ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89533,c_55,c_87113]) ).
tcf(c_89537,plain,
( ( sK0 = sz00 )
| ( sdtasdt0(sK0,sK1) = sK1 )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89532,c_55,c_87113]) ).
tcf(c_89541,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ( sK0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89528,c_55,c_87113]) ).
tcf(c_89562,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_11984,c_88984]) ).
tcf(c_89564,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_108,c_88984]) ).
tcf(c_89591,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xm),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_75560]) ).
tcf(c_89592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_58458,c_75560]) ).
tcf(c_89593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_75560]) ).
tcf(c_89594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_75560]) ).
tcf(c_89595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_75560]) ).
tcf(c_89596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,sdtpldt0(xl,xq)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_75560]) ).
tcf(c_89636,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8608,c_75560]) ).
tcf(c_89659,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_16523,c_75560]) ).
tcf(c_89663,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_16955,c_75560]) ).
tcf(c_89667,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_17173,c_75560]) ).
tcf(c_89672,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21017,c_75560]) ).
tcf(c_89678,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21606,c_75560]) ).
tcf(c_89686,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22426,c_75560]) ).
tcf(c_89695,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23373,c_75560]) ).
tcf(c_89699,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25406,c_75560]) ).
tcf(c_89764,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_75560,c_109]) ).
tcf(c_89768,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_75560,c_110]) ).
tcf(c_89769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_75560,c_73]) ).
tcf(c_89770,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_75560,c_61224]) ).
tcf(c_89771,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_75560,c_109]) ).
tcf(c_89772,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_75560,c_11962]) ).
tcf(c_89773,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_75560,c_8700]) ).
tcf(c_89775,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_75560,c_110]) ).
tcf(c_89776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_75560,c_73]) ).
tcf(c_89778,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75560,c_45030]) ).
tcf(c_89779,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_89636,c_2464]) ).
tcf(c_89780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89595,c_49]) ).
tcf(c_89787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89594,c_50]) ).
tcf(c_89794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89593,c_51]) ).
tcf(c_89801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89592,c_59]) ).
tcf(c_89823,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89667,c_49,c_17110]) ).
tcf(c_89829,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89663,c_49,c_16905]) ).
tcf(c_89835,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89659,c_49,c_16398]) ).
tcf(c_89849,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89773,c_103]) ).
tcf(c_89859,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89776,c_103]) ).
tcf(c_89868,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89775,c_103]) ).
tcf(c_89878,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89771,c_103]) ).
tcf(c_89889,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89769,c_59]) ).
tcf(c_89898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89768,c_59]) ).
tcf(c_89908,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89764,c_59]) ).
tcf(c_89919,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89699,c_49,c_25261]) ).
tcf(c_89925,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89695,c_49,c_23228]) ).
tcf(c_89931,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89686,c_49,c_22296]) ).
tcf(c_89937,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89678,c_49,c_21527]) ).
tcf(c_89943,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89672,c_49,c_20938]) ).
tcf(c_89949,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_89778,c_2464]) ).
tcf(c_89956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_70]) ).
tcf(c_89960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_17825]) ).
tcf(c_89961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_17392]) ).
tcf(c_89962,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_14477]) ).
tcf(c_89968,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_145]) ).
tcf(c_89970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_70]) ).
tcf(c_89971,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_25416,c_76]) ).
tcf(c_89972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) ),
inference(superposition,[status(thm)],[c_25416,c_68]) ).
tcf(c_89973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_68]) ).
tcf(c_89975,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(superposition,[status(thm)],[c_25416,c_77]) ).
tcf(c_89977,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_51524]) ).
tcf(c_89978,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_49956]) ).
tcf(c_89979,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_47638]) ).
tcf(c_89980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_41879]) ).
tcf(c_89981,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_46832]) ).
tcf(c_89982,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_43963]) ).
tcf(c_89983,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_43470]) ).
tcf(c_89984,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_43085]) ).
tcf(c_89985,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_42039]) ).
tcf(c_89986,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_35146]) ).
tcf(c_89987,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_26041]) ).
tcf(c_89988,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_26044]) ).
tcf(c_89989,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_26052]) ).
tcf(c_89990,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_15930]) ).
tcf(c_89991,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_15792]) ).
tcf(c_89992,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_24215]) ).
tcf(c_89993,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_24215]) ).
tcf(c_89994,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_15931]) ).
tcf(c_89995,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_25416,c_24885]) ).
tcf(c_89996,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_15793]) ).
tcf(c_89997,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_25416,c_8652]) ).
tcf(c_89998,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25416,c_45030]) ).
tcf(c_89999,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_89968,c_103,c_25261]) ).
tcf(c_90000,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89975,c_103,c_25261]) ).
tcf(c_90004,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89971,c_103,c_25261]) ).
tcf(c_90008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89970,c_103,c_25261]) ).
tcf(c_90013,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89962,c_103,c_25261]) ).
tcf(c_90019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89973,c_103,c_25261]) ).
tcf(c_90024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89972,c_103,c_25261]) ).
tcf(c_90029,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89997,c_25261]) ).
tcf(c_90034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89960,c_103,c_25261]) ).
tcf(c_90042,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89996,c_25261]) ).
tcf(c_90048,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89994,c_25261]) ).
tcf(c_90054,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(light_normalisation,[status(thm)],[c_89993,c_25416]) ).
tcf(c_90055,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90054,c_25261]) ).
tcf(c_90063,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89991,c_25261]) ).
tcf(c_90070,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89990,c_25261]) ).
tcf(c_90077,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89961,c_103,c_25261]) ).
tcf(c_90092,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_89989,c_25416]) ).
tcf(c_90093,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90092,c_25261]) ).
tcf(c_90100,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_89988,c_25416]) ).
tcf(c_90101,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90100,c_25261]) ).
tcf(c_90108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(light_normalisation,[status(thm)],[c_89987,c_25416]) ).
tcf(c_90109,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90108,c_25261]) ).
tcf(c_90117,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_89981,c_25416]) ).
tcf(c_90118,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90117,c_25261]) ).
tcf(c_90125,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89984,c_25261]) ).
tcf(c_90133,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89983,c_25261]) ).
tcf(c_90141,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(light_normalisation,[status(thm)],[c_89979,c_25416]) ).
tcf(c_90142,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90141,c_25261]) ).
tcf(c_90149,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89982,c_25261]) ).
tcf(c_90156,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_89985,c_25416]) ).
tcf(c_90157,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90156,c_25261]) ).
tcf(c_90165,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(light_normalisation,[status(thm)],[c_89998,c_25416]) ).
tcf(c_90166,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90165,c_25261]) ).
tcf(c_90175,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_89978,c_25416]) ).
tcf(c_90176,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90175,c_25261]) ).
tcf(c_90184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_89980,c_25416]) ).
tcf(c_90185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90184,c_25261]) ).
tcf(c_90195,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(light_normalisation,[status(thm)],[c_89977,c_25416]) ).
tcf(c_90196,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90195,c_25261]) ).
tcf(c_90529,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_89999,c_109]) ).
tcf(c_90533,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_89999,c_110]) ).
tcf(c_90534,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtpldt0(xl,sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_89999,c_73]) ).
tcf(c_90535,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90529,c_103,c_25261]) ).
tcf(c_90539,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtpldt0(xl,sdtpldt0(xl,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_90534,c_103,c_25261]) ).
tcf(c_90540,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_90533,c_25266,c_103,c_25261]) ).
tcf(c_90545,plain,
sdtlseqdt0(sK0,sdtasdt0(xp,sK0)),
inference(global_subsumption_just,[status(thm)],[c_87418,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_87418]) ).
tcf(c_90547,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90545,c_109]) ).
tcf(c_90548,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90545,c_11962]) ).
tcf(c_90549,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_90545,c_8700]) ).
tcf(c_90550,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90545,c_3979]) ).
tcf(c_90551,plain,
( ( sdtasdt0(xp,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sK0) ),
inference(superposition,[status(thm)],[c_90545,c_110]) ).
tcf(c_90552,plain,
( ( sdtpldt0(sK0,sK2(sK0,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90545,c_73]) ).
tcf(c_90553,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90550,c_52,c_87416]) ).
tcf(c_90556,plain,
sdtpldt0(sK0,sK2(sK0,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_90552,c_52,c_87416]) ).
tcf(c_90557,plain,
( ( sdtasdt0(xp,sK0) = sK0 )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90551,c_52,c_87416]) ).
tcf(c_90560,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90547,c_52,c_87416]) ).
tcf(c_90564,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90548,c_52,c_87416]) ).
tcf(c_90575,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ( sz00 = xq )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88527,c_109]) ).
tcf(c_90576,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88527,c_11962]) ).
tcf(c_90577,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_88527,c_8700]) ).
tcf(c_90579,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sK0) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sK0) ),
inference(superposition,[status(thm)],[c_88527,c_110]) ).
tcf(c_90580,plain,
( ( sz00 = xq )
| ( sdtpldt0(sK0,sK2(sK0,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88527,c_73]) ).
tcf(c_90581,plain,
( ( sz00 = xq )
| ( sdtpldt0(sK0,sK2(sK0,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90580,c_52,c_88525]) ).
tcf(c_90584,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sK0) = sK0 )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90579,c_52,c_88525]) ).
tcf(c_90588,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ( sz00 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90575,c_52,c_88525]) ).
tcf(c_90600,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90553,c_109]) ).
tcf(c_90601,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90553,c_11962]) ).
tcf(c_90602,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_90553,c_8700]) ).
tcf(c_90604,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtasdt0(xp,sK0) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),xq) ),
inference(superposition,[status(thm)],[c_90553,c_110]) ).
tcf(c_90605,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90553,c_73]) ).
tcf(c_90606,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90605,c_62,c_87416]) ).
tcf(c_90609,plain,
( sdtlseqdt0(sK0,xp)
| ( sdtasdt0(xp,sK0) = xq )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90604,c_62,c_87416]) ).
tcf(c_90613,plain,
! [X0: $i] :
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90600,c_62,c_87416]) ).
tcf(c_90618,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90601,c_62,c_87416]) ).
tcf(c_90624,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90602,c_62,c_87416]) ).
tcf(c_90635,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_83121,c_109]) ).
tcf(c_90639,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(xm,sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_83121,c_110]) ).
tcf(c_90640,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtpldt0(sdtasdt0(xm,xp),sK2(sdtasdt0(xm,xp),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_83121,c_73]) ).
tcf(c_90641,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtpldt0(sdtasdt0(xm,xp),sK2(sdtasdt0(xm,xp),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90640,c_50,c_71319]) ).
tcf(c_90644,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90639,c_50,c_71319]) ).
tcf(c_90648,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90635,c_50,c_71319]) ).
tcf(c_90657,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83841,c_109]) ).
tcf(c_90661,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(xp,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83841,c_110]) ).
tcf(c_90662,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83841,c_73]) ).
tcf(c_90663,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),xm)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_83841,c_61224]) ).
tcf(c_90664,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtasdt0(xn,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90663,c_80618]) ).
tcf(c_90667,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90662,c_59,c_80618]) ).
tcf(c_90670,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90661,c_59,c_80618]) ).
tcf(c_90674,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90657,c_59,c_80618]) ).
tcf(c_90683,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_85047,c_109]) ).
tcf(c_90687,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(xp,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_85047,c_110]) ).
tcf(c_90688,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_85047,c_73]) ).
tcf(c_90689,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),xm)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_85047,c_61224]) ).
tcf(c_90690,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtasdt0(xn,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90689,c_80869]) ).
tcf(c_90693,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90688,c_59,c_80869]) ).
tcf(c_90696,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90687,c_59,c_80869]) ).
tcf(c_90700,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90683,c_59,c_80869]) ).
tcf(c_90716,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_11984,c_90624]) ).
tcf(c_90718,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_108,c_90624]) ).
tcf(c_90720,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90716,c_103,c_87416]) ).
tcf(c_90734,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6427,c_84]) ).
tcf(c_90747,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_90734,c_109]) ).
tcf(c_90748,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_90734,c_11962]) ).
tcf(c_90749,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_90734,c_8700]) ).
tcf(c_90751,plain,
! [X0: $i] :
( ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)),xp) ),
inference(superposition,[status(thm)],[c_90734,c_110]) ).
tcf(c_90752,plain,
! [X0: $i] :
( ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_90734,c_73]) ).
tcf(c_90753,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_90734,c_3965]) ).
tcf(c_90762,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90747,c_59]) ).
tcf(c_90770,plain,
! [X0: $i] :
( ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90752,c_59]) ).
tcf(c_90776,plain,
! [X0: $i] :
( ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90751,c_59]) ).
tcf(c_90783,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90748,c_59]) ).
tcf(c_90791,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90749,c_59]) ).
tcf(c_90894,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_11984,c_90791]) ).
tcf(c_90896,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_108,c_90791]) ).
tcf(c_90898,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90894,c_103]) ).
tcf(c_90922,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_68,c_12741]) ).
tcf(c_90923,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70,c_12741]) ).
tcf(c_90925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_12741]) ).
tcf(c_90926,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_87,c_12741]) ).
tcf(c_90927,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_89,c_12741]) ).
tcf(c_90929,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_12741]) ).
tcf(c_90930,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_12741]) ).
tcf(c_90931,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_12741]) ).
tcf(c_90949,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65304,c_12741]) ).
tcf(c_90957,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_65245,c_12741]) ).
tcf(c_90958,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3961,c_12741]) ).
tcf(c_90959,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3944,c_12741]) ).
tcf(c_90960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_27721,c_12741]) ).
tcf(c_90961,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_15621,c_12741]) ).
tcf(c_90962,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13918,c_12741]) ).
tcf(c_90963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11447,c_12741]) ).
tcf(c_90964,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13690,c_12741]) ).
tcf(c_90965,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13570,c_12741]) ).
tcf(c_90966,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13423,c_12741]) ).
tcf(c_90967,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_13198,c_12741]) ).
tcf(c_90968,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12915,c_12741]) ).
tcf(c_90969,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4216,c_12741]) ).
tcf(c_90980,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14112,c_12741]) ).
tcf(c_90981,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_12741]) ).
tcf(c_90982,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5155,c_12741]) ).
tcf(c_90983,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5229,c_12741]) ).
tcf(c_90991,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_66488,c_12741]) ).
tcf(c_90992,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6430,c_12741]) ).
tcf(c_90993,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6431,c_12741]) ).
tcf(c_90994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_12741]) ).
tcf(c_91007,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_12725,c_12741]) ).
tcf(c_91009,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6431,c_12741]) ).
tcf(c_91011,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_90734,c_12741]) ).
tcf(c_91013,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6430,c_12741]) ).
tcf(c_91016,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7120,c_12741]) ).
tcf(c_91018,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_12741]) ).
tcf(c_91020,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_12741]) ).
tcf(c_91021,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_12741]) ).
tcf(c_91022,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_12741]) ).
tcf(c_91023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_12741]) ).
tcf(c_91024,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_12741]) ).
tcf(c_91025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_12741]) ).
tcf(c_91026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_12741]) ).
tcf(c_91027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_12741]) ).
tcf(c_91028,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_12741]) ).
tcf(c_91029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_12741]) ).
tcf(c_91030,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_12741]) ).
tcf(c_91031,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_12741]) ).
tcf(c_91032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_12741]) ).
tcf(c_91033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_12741]) ).
tcf(c_91034,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_12741]) ).
tcf(c_91035,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_12741]) ).
tcf(c_91036,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_12741]) ).
tcf(c_91043,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_75560,c_12741]) ).
tcf(c_91044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_75392,c_12741]) ).
tcf(c_91052,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_34388,c_12741]) ).
tcf(c_91053,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_44733,c_12741]) ).
tcf(c_91058,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))) = sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_12741]) ).
tcf(c_91059,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))) = sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_12741]) ).
tcf(c_91060,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_12741]) ).
tcf(c_91061,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_12741]) ).
tcf(c_91062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_12741]) ).
tcf(c_91063,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_12741]) ).
tcf(c_91064,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_12741]) ).
tcf(c_91065,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_12741]) ).
tcf(c_91066,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_12741]) ).
tcf(c_91067,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_12741]) ).
tcf(c_91068,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_12741]) ).
tcf(c_91069,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_12741]) ).
tcf(c_91070,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32019,c_12741]) ).
tcf(c_91077,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20099,c_12741]) ).
tcf(c_91087,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20120,c_12741]) ).
tcf(c_91106,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_12741]) ).
tcf(c_91107,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_12741]) ).
tcf(c_91108,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_67246,c_12741]) ).
tcf(c_91109,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_64708,c_12741]) ).
tcf(c_91110,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_12741]) ).
tcf(c_91111,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_12741]) ).
tcf(c_91112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_12741]) ).
tcf(c_91113,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_46773,c_12741]) ).
tcf(c_91114,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_12741]) ).
tcf(c_91115,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_12741]) ).
tcf(c_91116,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_12741]) ).
tcf(c_91117,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24917,c_12741]) ).
tcf(c_91118,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ sdtlseqdt0(sK2(sz00,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24916,c_12741]) ).
tcf(c_91119,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ sdtlseqdt0(sK2(sz00,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24915,c_12741]) ).
tcf(c_91120,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_12741]) ).
tcf(c_91121,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_12741]) ).
tcf(c_91122,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_12741]) ).
tcf(c_91123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_12741]) ).
tcf(c_91131,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_27912,c_12741]) ).
tcf(c_91141,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30206,c_12741]) ).
tcf(c_91144,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32039,c_12741]) ).
tcf(c_91150,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))) = sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_12741]) ).
tcf(c_91231,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xm))) = sK2(xq,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_73050,c_12741]) ).
tcf(c_91257,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77128,c_12741]) ).
tcf(c_91258,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_76965,c_12741]) ).
tcf(c_91259,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77305,c_12741]) ).
tcf(c_91287,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87115,c_12741]) ).
tcf(c_91288,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90553,c_12741]) ).
tcf(c_91289,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_90545,c_12741]) ).
tcf(c_91290,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88527,c_12741]) ).
tcf(c_91291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90991,c_52]) ).
tcf(c_91298,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90980,c_49]) ).
tcf(c_91305,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90969,c_103]) ).
tcf(c_91312,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90968,c_103]) ).
tcf(c_91319,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90967,c_103]) ).
tcf(c_91326,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90966,c_103]) ).
tcf(c_91333,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90965,c_103]) ).
tcf(c_91340,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90964,c_103]) ).
tcf(c_91347,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90962,c_103]) ).
tcf(c_91355,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90957,c_62]) ).
tcf(c_91362,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90949,c_59]) ).
tcf(c_91376,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90961,c_103]) ).
tcf(c_91383,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91289,c_52,c_87416]) ).
tcf(c_91396,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90958,c_62]) ).
tcf(c_91411,plain,
( sdtlseqdt0(sK0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91288,c_62,c_87416]) ).
tcf(c_91423,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90981,c_62]) ).
tcf(c_91432,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91290,c_52,c_88525]) ).
tcf(c_91438,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91287,c_55,c_87113]) ).
tcf(c_91451,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91018,c_103]) ).
tcf(c_91477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90982,c_62]) ).
tcf(c_91486,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91141,c_17110,c_30205]) ).
tcf(c_91491,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91131,c_16905,c_27911]) ).
tcf(c_91497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91013,c_62]) ).
tcf(c_91507,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90983,c_62]) ).
tcf(c_91517,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90993,c_59]) ).
tcf(c_91535,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91016,c_59]) ).
tcf(c_91544,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,X0))) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90992,c_59]) ).
tcf(c_91647,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91011,c_59]) ).
tcf(c_91816,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91053,c_59]) ).
tcf(c_91979,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91258,c_103]) ).
tcf(c_92018,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91070,c_59]) ).
tcf(c_92048,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91257,c_103]) ).
tcf(c_92084,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91144,c_62]) ).
tcf(c_92095,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91077,c_59]) ).
tcf(c_92116,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91259,c_103]) ).
tcf(c_92128,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91087,c_62]) ).
tcf(c_92503,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_91069,c_8631,c_91069]) ).
tcf(c_92504,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_92503]) ).
tcf(c_92520,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_92504]) ).
tcf(c_92522,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_92504]) ).
tcf(c_92523,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_92504]) ).
tcf(c_92524,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92522,c_103]) ).
tcf(c_92532,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92523,c_2465]) ).
tcf(c_92533,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92532,c_103]) ).
tcf(c_92560,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_91035,c_8631,c_91035]) ).
tcf(c_92561,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_92560]) ).
tcf(c_92578,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_72,c_92561]) ).
tcf(c_92579,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92578,c_103]) ).
tcf(c_92589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25417,c_70]) ).
tcf(c_92596,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25417,c_5155]) ).
tcf(c_92601,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25417,c_145]) ).
tcf(c_92603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) ),
inference(superposition,[status(thm)],[c_25417,c_70]) ).
tcf(c_92604,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(superposition,[status(thm)],[c_25417,c_76]) ).
tcf(c_92605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25417,c_68]) ).
tcf(c_92606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25417,c_68]) ).
tcf(c_92608,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_25417,c_77]) ).
tcf(c_92609,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_92601,c_103,c_25261]) ).
tcf(c_92610,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92596,c_103,c_25261]) ).
tcf(c_92613,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92608,c_103,c_25261]) ).
tcf(c_92617,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92604,c_103,c_25261]) ).
tcf(c_92622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92605,c_103,c_25261]) ).
tcf(c_92627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92603,c_103,c_25261]) ).
tcf(c_92632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92589,c_103,c_25261]) ).
tcf(c_92744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(sK0,sK1)),sdtasdt0(sK0,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87266,c_70]) ).
tcf(c_92748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_87266,c_17825]) ).
tcf(c_92749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87266,c_17392]) ).
tcf(c_92750,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_87266,c_14477]) ).
tcf(c_92756,plain,
( sdtlseqdt0(sz00,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87266,c_145]) ).
tcf(c_92758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(X0,sdtasdt0(sK0,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87266,c_70]) ).
tcf(c_92759,plain,
! [X0: $i] :
( ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ( sdtpldt0(sz00,X0) != sdtasdt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_87266,c_76]) ).
tcf(c_92760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_87266,c_68]) ).
tcf(c_92761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87266,c_68]) ).
tcf(c_92763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ( sdtpldt0(X0,sdtasdt0(sK0,sK1)) != sdtasdt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_87266,c_77]) ).
tcf(c_92765,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_51524]) ).
tcf(c_92766,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_49956]) ).
tcf(c_92767,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87266,c_47638]) ).
tcf(c_92768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_41879]) ).
tcf(c_92769,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_46832]) ).
tcf(c_92770,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_43963]) ).
tcf(c_92771,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_43470]) ).
tcf(c_92772,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_43085]) ).
tcf(c_92773,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_42039]) ).
tcf(c_92774,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_35146]) ).
tcf(c_92775,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_26041]) ).
tcf(c_92776,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_26044]) ).
tcf(c_92777,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK0,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_87266,c_26052]) ).
tcf(c_92778,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_15930]) ).
tcf(c_92779,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_15792]) ).
tcf(c_92780,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK0,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_24215]) ).
tcf(c_92781,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK0,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_24215]) ).
tcf(c_92782,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_15931]) ).
tcf(c_92783,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_24885]) ).
tcf(c_92784,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_15793]) ).
tcf(c_92785,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(sK0,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_87266,c_8652]) ).
tcf(c_92786,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK0,sK1))) ),
inference(superposition,[status(thm)],[c_87266,c_45030]) ).
tcf(c_92787,plain,
sdtlseqdt0(sz00,sdtasdt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_92756,c_103,c_87113]) ).
tcf(c_92788,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(sK0,sK1)) != sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92763,c_103,c_87113]) ).
tcf(c_92792,plain,
! [X0: $i] :
( ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92759,c_103,c_87113]) ).
tcf(c_92796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(X0,sdtasdt0(sK0,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92758,c_103,c_87113]) ).
tcf(c_92802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92761,c_103,c_87113]) ).
tcf(c_92807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92760,c_103,c_87113]) ).
tcf(c_92812,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92750,c_103,c_87113]) ).
tcf(c_92817,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(sK0,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92785,c_87113]) ).
tcf(c_92822,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92784,c_87113]) ).
tcf(c_92828,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92782,c_87113]) ).
tcf(c_92834,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92781,c_87266]) ).
tcf(c_92835,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92834,c_87113]) ).
tcf(c_92843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(sK0,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92748,c_103,c_87113]) ).
tcf(c_92851,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92779,c_87113]) ).
tcf(c_92858,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92778,c_87113]) ).
tcf(c_92865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92749,c_103,c_87113]) ).
tcf(c_92880,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92777,c_87266]) ).
tcf(c_92881,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92880,c_87113]) ).
tcf(c_92887,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92776,c_87266]) ).
tcf(c_92888,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92887,c_87113]) ).
tcf(c_92895,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92774,c_87113]) ).
tcf(c_92903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92775,c_87266]) ).
tcf(c_92904,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92903,c_87113]) ).
tcf(c_92912,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92769,c_87266]) ).
tcf(c_92913,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92912,c_87113]) ).
tcf(c_92920,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1)) ),
inference(light_normalisation,[status(thm)],[c_92767,c_87266]) ).
tcf(c_92921,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92920,c_87113]) ).
tcf(c_92928,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92773,c_87266]) ).
tcf(c_92929,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92928,c_87113]) ).
tcf(c_92937,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92772,c_87113]) ).
tcf(c_92945,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92771,c_87113]) ).
tcf(c_92953,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92770,c_87113]) ).
tcf(c_92960,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92786,c_87266]) ).
tcf(c_92961,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92960,c_87113]) ).
tcf(c_92970,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92766,c_87266]) ).
tcf(c_92971,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92970,c_87113]) ).
tcf(c_92979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92768,c_87266]) ).
tcf(c_92980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92979,c_87113]) ).
tcf(c_92990,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_92765,c_87266]) ).
tcf(c_92991,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_92990,c_87113]) ).
tcf(c_93048,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_92787,c_109]) ).
tcf(c_93053,plain,
( ( sdtasdt0(sK0,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_92787,c_110]) ).
tcf(c_93054,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_92787,c_73]) ).
tcf(c_93055,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_93054,c_103,c_87113]) ).
tcf(c_93056,plain,
( ( sdtasdt0(sK0,sK1) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93053,c_103,c_87113]) ).
tcf(c_93059,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93048,c_103,c_87113]) ).
tcf(c_93063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87267,c_70]) ).
tcf(c_93066,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_87267,c_24035]) ).
tcf(c_93067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87267,c_17825]) ).
tcf(c_93068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_87267,c_17392]) ).
tcf(c_93069,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_87267,c_14477]) ).
tcf(c_93070,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87267,c_5155]) ).
tcf(c_93075,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87267,c_145]) ).
tcf(c_93077,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_87267,c_70]) ).
tcf(c_93078,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ( sdtpldt0(sdtasdt0(sK0,sK1),X0) != sdtasdt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_87267,c_76]) ).
tcf(c_93079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(sdtasdt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87267,c_68]) ).
tcf(c_93080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(sK0,sK1),X0),sdtasdt0(sK0,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_87267,c_68]) ).
tcf(c_93082,plain,
! [X0: $i] :
( ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ( sdtpldt0(X0,sz00) != sdtasdt0(sK0,sK1) ) ),
inference(superposition,[status(thm)],[c_87267,c_77]) ).
tcf(c_93083,plain,
sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_93075,c_103,c_87113]) ).
tcf(c_93084,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93070,c_103,c_87113]) ).
tcf(c_93087,plain,
! [X0: $i] :
( ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93082,c_103,c_87113]) ).
tcf(c_93091,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(sK0,sK1),X0) != sdtasdt0(sK0,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93078,c_103,c_87113]) ).
tcf(c_93096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(sdtasdt0(sK0,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93079,c_103,c_87113]) ).
tcf(c_93101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93077,c_103,c_87113]) ).
tcf(c_93106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93063,c_103,c_87113]) ).
tcf(c_93111,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93069,c_103,c_87113]) ).
tcf(c_93116,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93066,c_103,c_87113]) ).
tcf(c_93122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(sK0,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93068,c_103,c_87113]) ).
tcf(c_93130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93067,c_103,c_87113]) ).
tcf(c_93245,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_93083,c_8700]) ).
tcf(c_93248,plain,
( ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_93083,c_73]) ).
tcf(c_93249,plain,
sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK1))) = sdtasdt0(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_93248,c_87113]) ).
tcf(c_93255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85524,c_109]) ).
tcf(c_93260,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(xp,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85524,c_110]) ).
tcf(c_93261,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85524,c_73]) ).
tcf(c_93262,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_85524,c_61224]) ).
tcf(c_93263,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93262,c_81151]) ).
tcf(c_93266,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93261,c_59,c_81151]) ).
tcf(c_93269,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93260,c_59,c_81151]) ).
tcf(c_93273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93255,c_59,c_81151]) ).
tcf(c_93282,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_86521,c_109]) ).
tcf(c_93287,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(xp,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_86521,c_110]) ).
tcf(c_93288,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_86521,c_73]) ).
tcf(c_93289,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_86521,c_61224]) ).
tcf(c_93290,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93289,c_81668]) ).
tcf(c_93293,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93288,c_59,c_81668]) ).
tcf(c_93296,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93287,c_59,c_81668]) ).
tcf(c_93300,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93282,c_59,c_81668]) ).
tcf(c_93305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK0)),sdtasdt0(xp,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87839,c_70]) ).
tcf(c_93309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_87839,c_17825]) ).
tcf(c_93310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87839,c_17392]) ).
tcf(c_93311,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_87839,c_14477]) ).
tcf(c_93317,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87839,c_145]) ).
tcf(c_93319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(X0,sdtasdt0(xp,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87839,c_70]) ).
tcf(c_93320,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_87839,c_76]) ).
tcf(c_93321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),X0) ),
inference(superposition,[status(thm)],[c_87839,c_68]) ).
tcf(c_93322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87839,c_68]) ).
tcf(c_93324,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ( sdtpldt0(X0,sdtasdt0(xp,sK0)) != sdtasdt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_87839,c_77]) ).
tcf(c_93326,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_51524]) ).
tcf(c_93327,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_49956]) ).
tcf(c_93328,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87839,c_47638]) ).
tcf(c_93329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_41879]) ).
tcf(c_93330,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_46832]) ).
tcf(c_93331,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_43963]) ).
tcf(c_93332,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_43470]) ).
tcf(c_93333,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_43085]) ).
tcf(c_93334,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_42039]) ).
tcf(c_93335,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_35146]) ).
tcf(c_93336,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_26041]) ).
tcf(c_93337,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_26044]) ).
tcf(c_93338,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_87839,c_26052]) ).
tcf(c_93339,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_15930]) ).
tcf(c_93340,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_15792]) ).
tcf(c_93341,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_24215]) ).
tcf(c_93342,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_24215]) ).
tcf(c_93343,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_15931]) ).
tcf(c_93344,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_24885]) ).
tcf(c_93345,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_15793]) ).
tcf(c_93346,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_87839,c_8652]) ).
tcf(c_93347,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_87839,c_45030]) ).
tcf(c_93348,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_93317,c_103,c_87416]) ).
tcf(c_93349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,sK0)) != sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93324,c_103,c_87416]) ).
tcf(c_93353,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93320,c_103,c_87416]) ).
tcf(c_93357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(X0,sdtasdt0(xp,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93319,c_103,c_87416]) ).
tcf(c_93363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93322,c_103,c_87416]) ).
tcf(c_93368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93321,c_103,c_87416]) ).
tcf(c_93373,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93311,c_103,c_87416]) ).
tcf(c_93378,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93346,c_87416]) ).
tcf(c_93383,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93345,c_87416]) ).
tcf(c_93389,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93343,c_87416]) ).
tcf(c_93395,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93342,c_87839]) ).
tcf(c_93396,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93395,c_87416]) ).
tcf(c_93404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93309,c_103,c_87416]) ).
tcf(c_93412,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93340,c_87416]) ).
tcf(c_93419,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93339,c_87416]) ).
tcf(c_93426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93310,c_103,c_87416]) ).
tcf(c_93441,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93338,c_87839]) ).
tcf(c_93442,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93441,c_87416]) ).
tcf(c_93448,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93337,c_87839]) ).
tcf(c_93449,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93448,c_87416]) ).
tcf(c_93456,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93335,c_87416]) ).
tcf(c_93464,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93336,c_87839]) ).
tcf(c_93465,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93464,c_87416]) ).
tcf(c_93473,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93330,c_87839]) ).
tcf(c_93474,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93473,c_87416]) ).
tcf(c_93481,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0)) ),
inference(light_normalisation,[status(thm)],[c_93328,c_87839]) ).
tcf(c_93482,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93481,c_87416]) ).
tcf(c_93489,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93334,c_87839]) ).
tcf(c_93490,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93489,c_87416]) ).
tcf(c_93498,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93333,c_87416]) ).
tcf(c_93506,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93332,c_87416]) ).
tcf(c_93514,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93331,c_87416]) ).
tcf(c_93521,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93347,c_87839]) ).
tcf(c_93522,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93521,c_87416]) ).
tcf(c_93531,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93327,c_87839]) ).
tcf(c_93532,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93531,c_87416]) ).
tcf(c_93540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93329,c_87839]) ).
tcf(c_93541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93540,c_87416]) ).
tcf(c_93551,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_93326,c_87839]) ).
tcf(c_93552,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93551,c_87416]) ).
tcf(c_93712,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_93348,c_109]) ).
tcf(c_93717,plain,
( ( sdtasdt0(xp,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_93348,c_110]) ).
tcf(c_93718,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_93348,c_73]) ).
tcf(c_93719,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_93718,c_103,c_87416]) ).
tcf(c_93720,plain,
( ( sdtasdt0(xp,sK0) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93717,c_103,c_87416]) ).
tcf(c_93723,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93712,c_103,c_87416]) ).
tcf(c_93743,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_93111,c_109]) ).
tcf(c_93745,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_93111,c_11962]) ).
tcf(c_93746,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_93111,c_8700]) ).
tcf(c_93747,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_93111,c_3979]) ).
tcf(c_93748,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_93111,c_110]) ).
tcf(c_93749,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_93111,c_73]) ).
tcf(c_93750,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(superposition,[status(thm)],[c_93111,c_5863]) ).
tcf(c_93753,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93746,c_87113]) ).
tcf(c_93759,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93743,c_87113]) ).
tcf(c_93766,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93750,c_87113]) ).
tcf(c_93772,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93749,c_87113]) ).
tcf(c_93777,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93748,c_87113]) ).
tcf(c_93907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25454,c_70]) ).
tcf(c_93921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25454,c_70]) ).
tcf(c_93922,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(superposition,[status(thm)],[c_25454,c_76]) ).
tcf(c_93923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))),X0) ),
inference(superposition,[status(thm)],[c_25454,c_68]) ).
tcf(c_93924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25454,c_68]) ).
tcf(c_93925,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_25454,c_98]) ).
tcf(c_93926,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(superposition,[status(thm)],[c_25454,c_77]) ).
tcf(c_93927,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93926,c_16398]) ).
tcf(c_93932,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ doDivides0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93925,c_16398]) ).
tcf(c_93938,plain,
! [X0: $i] :
( ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xl,sdtpldt0(xl,sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93922,c_16398]) ).
tcf(c_93943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93921,c_16398]) ).
tcf(c_93949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93907,c_16398]) ).
tcf(c_93955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(X0,sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93924,c_16398]) ).
tcf(c_93961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(sK2(sdtpldt0(xl,sK1),sdtpldt0(xl,sdtpldt0(xl,sK1))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93923,c_16398]) ).
tcf(c_93997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87840,c_70]) ).
tcf(c_94000,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_87840,c_24035]) ).
tcf(c_94001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87840,c_17825]) ).
tcf(c_94002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_87840,c_17392]) ).
tcf(c_94003,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_87840,c_14477]) ).
tcf(c_94004,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87840,c_5155]) ).
tcf(c_94009,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87840,c_145]) ).
tcf(c_94011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),X0) ),
inference(superposition,[status(thm)],[c_87840,c_70]) ).
tcf(c_94012,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ( sdtpldt0(sdtasdt0(xp,sK0),X0) != sdtasdt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_87840,c_76]) ).
tcf(c_94013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(sdtasdt0(xp,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87840,c_68]) ).
tcf(c_94014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK0),X0),sdtasdt0(xp,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_87840,c_68]) ).
tcf(c_94016,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,sK0) ) ),
inference(superposition,[status(thm)],[c_87840,c_77]) ).
tcf(c_94017,plain,
sdtlseqdt0(sdtasdt0(xp,sK0),sdtasdt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_94009,c_103,c_87416]) ).
tcf(c_94018,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94004,c_103,c_87416]) ).
tcf(c_94021,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94016,c_103,c_87416]) ).
tcf(c_94025,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,sK0),X0) != sdtasdt0(xp,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94012,c_103,c_87416]) ).
tcf(c_94030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(sdtasdt0(xp,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94013,c_103,c_87416]) ).
tcf(c_94035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94011,c_103,c_87416]) ).
tcf(c_94040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_93997,c_103,c_87416]) ).
tcf(c_94045,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94003,c_103,c_87416]) ).
tcf(c_94050,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94000,c_103,c_87416]) ).
tcf(c_94056,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94002,c_103,c_87416]) ).
tcf(c_94064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94001,c_103,c_87416]) ).
tcf(c_94075,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94017,c_8700]) ).
tcf(c_94078,plain,
( ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_94017,c_73]) ).
tcf(c_94079,plain,
sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),sdtasdt0(xp,sK0))) = sdtasdt0(xp,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_94078,c_87416]) ).
tcf(c_94081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,sK0)),sdtasdt0(xq,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88632,c_70]) ).
tcf(c_94085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_88632,c_17825]) ).
tcf(c_94086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88632,c_17392]) ).
tcf(c_94087,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_88632,c_14477]) ).
tcf(c_94093,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88632,c_145]) ).
tcf(c_94095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(X0,sdtasdt0(xq,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88632,c_70]) ).
tcf(c_94096,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_88632,c_76]) ).
tcf(c_94097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),X0) ),
inference(superposition,[status(thm)],[c_88632,c_68]) ).
tcf(c_94098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88632,c_68]) ).
tcf(c_94100,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ( sdtpldt0(X0,sdtasdt0(xq,sK0)) != sdtasdt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_88632,c_77]) ).
tcf(c_94102,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_51524]) ).
tcf(c_94103,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_49956]) ).
tcf(c_94104,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88632,c_47638]) ).
tcf(c_94105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_41879]) ).
tcf(c_94106,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_46832]) ).
tcf(c_94107,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_43963]) ).
tcf(c_94108,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_43470]) ).
tcf(c_94109,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_43085]) ).
tcf(c_94110,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_42039]) ).
tcf(c_94111,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_35146]) ).
tcf(c_94112,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_26041]) ).
tcf(c_94113,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_26044]) ).
tcf(c_94114,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xq,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_88632,c_26052]) ).
tcf(c_94115,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_15930]) ).
tcf(c_94116,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_15792]) ).
tcf(c_94117,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xq,sK0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_24215]) ).
tcf(c_94118,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xq,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_24215]) ).
tcf(c_94119,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_15931]) ).
tcf(c_94120,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_24885]) ).
tcf(c_94121,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_15793]) ).
tcf(c_94122,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xq,sK0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_88632,c_8652]) ).
tcf(c_94123,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_88632,c_45030]) ).
tcf(c_94124,plain,
sdtlseqdt0(sz00,sdtasdt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_94093,c_103,c_88525]) ).
tcf(c_94125,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xq,sK0)) != sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94100,c_103,c_88525]) ).
tcf(c_94129,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94096,c_103,c_88525]) ).
tcf(c_94133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(X0,sdtasdt0(xq,sK0)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94095,c_103,c_88525]) ).
tcf(c_94139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94098,c_103,c_88525]) ).
tcf(c_94144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94097,c_103,c_88525]) ).
tcf(c_94149,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94087,c_103,c_88525]) ).
tcf(c_94154,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xq,sK0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94122,c_88525]) ).
tcf(c_94159,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94121,c_88525]) ).
tcf(c_94165,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94119,c_88525]) ).
tcf(c_94171,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94118,c_88632]) ).
tcf(c_94172,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94171,c_88525]) ).
tcf(c_94180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,sK0)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94085,c_103,c_88525]) ).
tcf(c_94188,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94116,c_88525]) ).
tcf(c_94195,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94115,c_88525]) ).
tcf(c_94202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94086,c_103,c_88525]) ).
tcf(c_94217,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94114,c_88632]) ).
tcf(c_94218,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94217,c_88525]) ).
tcf(c_94224,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94113,c_88632]) ).
tcf(c_94225,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94224,c_88525]) ).
tcf(c_94232,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94111,c_88525]) ).
tcf(c_94240,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94112,c_88632]) ).
tcf(c_94241,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94240,c_88525]) ).
tcf(c_94249,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94106,c_88632]) ).
tcf(c_94250,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94249,c_88525]) ).
tcf(c_94257,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0)) ),
inference(light_normalisation,[status(thm)],[c_94104,c_88632]) ).
tcf(c_94258,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94257,c_88525]) ).
tcf(c_94265,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94110,c_88632]) ).
tcf(c_94266,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94265,c_88525]) ).
tcf(c_94274,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94109,c_88525]) ).
tcf(c_94282,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94108,c_88525]) ).
tcf(c_94290,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94107,c_88525]) ).
tcf(c_94297,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94123,c_88632]) ).
tcf(c_94298,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94297,c_88525]) ).
tcf(c_94307,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94103,c_88632]) ).
tcf(c_94308,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94307,c_88525]) ).
tcf(c_94316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94105,c_88632]) ).
tcf(c_94317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94316,c_88525]) ).
tcf(c_94327,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_94102,c_88632]) ).
tcf(c_94328,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94327,c_88525]) ).
tcf(c_94440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94124,c_109]) ).
tcf(c_94445,plain,
( ( sdtasdt0(xq,sK0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94124,c_110]) ).
tcf(c_94446,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94124,c_73]) ).
tcf(c_94447,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_94446,c_103,c_88525]) ).
tcf(c_94448,plain,
( ( sdtasdt0(xq,sK0) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94445,c_103,c_88525]) ).
tcf(c_94451,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94440,c_103,c_88525]) ).
tcf(c_94455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88633,c_70]) ).
tcf(c_94458,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_88633,c_24035]) ).
tcf(c_94459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88633,c_17825]) ).
tcf(c_94460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_88633,c_17392]) ).
tcf(c_94461,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_88633,c_14477]) ).
tcf(c_94462,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88633,c_5155]) ).
tcf(c_94467,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88633,c_145]) ).
tcf(c_94469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),X0) ),
inference(superposition,[status(thm)],[c_88633,c_70]) ).
tcf(c_94470,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ( sdtpldt0(sdtasdt0(xq,sK0),X0) != sdtasdt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_88633,c_76]) ).
tcf(c_94471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(sdtasdt0(xq,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88633,c_68]) ).
tcf(c_94472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,sK0),X0),sdtasdt0(xq,sK0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_88633,c_68]) ).
tcf(c_94474,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,sK0) ) ),
inference(superposition,[status(thm)],[c_88633,c_77]) ).
tcf(c_94475,plain,
sdtlseqdt0(sdtasdt0(xq,sK0),sdtasdt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_94467,c_103,c_88525]) ).
tcf(c_94476,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94462,c_103,c_88525]) ).
tcf(c_94479,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94474,c_103,c_88525]) ).
tcf(c_94483,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xq,sK0),X0) != sdtasdt0(xq,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94470,c_103,c_88525]) ).
tcf(c_94488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(sdtasdt0(xq,sK0),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94471,c_103,c_88525]) ).
tcf(c_94493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK0),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94469,c_103,c_88525]) ).
tcf(c_94498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94455,c_103,c_88525]) ).
tcf(c_94503,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94461,c_103,c_88525]) ).
tcf(c_94508,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94458,c_103,c_88525]) ).
tcf(c_94514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,sK0),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94460,c_103,c_88525]) ).
tcf(c_94522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94459,c_103,c_88525]) ).
tcf(c_94639,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94475,c_8700]) ).
tcf(c_94642,plain,
( ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94475,c_73]) ).
tcf(c_94643,plain,
sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),sdtasdt0(xq,sK0))) = sdtasdt0(xq,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_94642,c_88525]) ).
tcf(c_94649,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_90664,c_109]) ).
tcf(c_94654,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ sdtlseqdt0(xm,sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_90664,c_110]) ).
tcf(c_94655,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,sK0)) ),
inference(superposition,[status(thm)],[c_90664,c_73]) ).
tcf(c_94656,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtpldt0(sdtasdt0(xn,sK0),sK2(sdtasdt0(xn,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94655,c_50,c_80618]) ).
tcf(c_94659,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ( sdtasdt0(xn,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94654,c_50,c_80618]) ).
tcf(c_94663,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94649,c_50,c_80618]) ).
tcf(c_94672,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_90690,c_109]) ).
tcf(c_94677,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ sdtlseqdt0(xm,sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_90690,c_110]) ).
tcf(c_94678,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,sK1)) ),
inference(superposition,[status(thm)],[c_90690,c_73]) ).
tcf(c_94679,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtpldt0(sdtasdt0(xn,sK1),sK2(sdtasdt0(xn,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94678,c_50,c_80869]) ).
tcf(c_94682,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ( sdtasdt0(xn,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94677,c_50,c_80869]) ).
tcf(c_94686,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94672,c_50,c_80869]) ).
tcf(c_94701,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_94045,c_109]) ).
tcf(c_94703,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94045,c_11962]) ).
tcf(c_94704,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94045,c_8700]) ).
tcf(c_94705,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94045,c_3979]) ).
tcf(c_94706,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_94045,c_110]) ).
tcf(c_94707,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94045,c_73]) ).
tcf(c_94708,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94045,c_5863]) ).
tcf(c_94711,plain,
( sdtlseqdt0(sdtasdt0(xp,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94704,c_87416]) ).
tcf(c_94717,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94701,c_87416]) ).
tcf(c_94724,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94708,c_87416]) ).
tcf(c_94730,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94707,c_87416]) ).
tcf(c_94735,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94706,c_87416]) ).
tcf(c_94751,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94503,c_109]) ).
tcf(c_94753,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94503,c_11962]) ).
tcf(c_94754,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94503,c_8700]) ).
tcf(c_94755,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94503,c_3979]) ).
tcf(c_94756,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94503,c_110]) ).
tcf(c_94757,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94503,c_73]) ).
tcf(c_94758,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(superposition,[status(thm)],[c_94503,c_5863]) ).
tcf(c_94761,plain,
( sdtlseqdt0(sdtasdt0(xq,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94754,c_88525]) ).
tcf(c_94767,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94751,c_88525]) ).
tcf(c_94774,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94758,c_88525]) ).
tcf(c_94780,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94757,c_88525]) ).
tcf(c_94785,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94756,c_88525]) ).
tcf(c_94872,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(xq,xp),X0))) = sdtpldt0(sK2(xq,xp),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_145,c_12745]) ).
tcf(c_94873,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(xq,xp),X0))) = sdtasdt0(sK2(xq,xp),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_85,c_12745]) ).
tcf(c_94876,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_4095,c_12745]) ).
tcf(c_94877,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108,c_12745]) ).
tcf(c_94900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_12745]) ).
tcf(c_94901,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_12745]) ).
tcf(c_94902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_12745]) ).
tcf(c_94903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_12745]) ).
tcf(c_94907,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))) = sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_12745]) ).
tcf(c_94908,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))) = sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_12745]) ).
tcf(c_94909,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_12745]) ).
tcf(c_94910,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_12745]) ).
tcf(c_94911,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_12745]) ).
tcf(c_94912,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_12745]) ).
tcf(c_94913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_12745]) ).
tcf(c_94914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_12745]) ).
tcf(c_94915,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_12745]) ).
tcf(c_94916,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_12745]) ).
tcf(c_94917,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_12745]) ).
tcf(c_94919,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_12745]) ).
tcf(c_94920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))) = sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_12745]) ).
tcf(c_95182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_89]) ).
tcf(c_95184,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_27527]) ).
tcf(c_95185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_18982]) ).
tcf(c_95186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_18291]) ).
tcf(c_95187,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_15630]) ).
tcf(c_95189,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_25540,c_91]) ).
tcf(c_95190,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_5229]) ).
tcf(c_95191,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_90]) ).
tcf(c_95194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00),X0) ),
inference(superposition,[status(thm)],[c_25540,c_87]) ).
tcf(c_95195,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_85]) ).
tcf(c_95196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_87]) ).
tcf(c_95197,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_25540,c_92]) ).
tcf(c_95198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(superposition,[status(thm)],[c_25540,c_89]) ).
tcf(c_95199,plain,
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95195,c_79945,c_23228]) ).
tcf(c_95204,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95189,c_23233,c_23228]) ).
tcf(c_95209,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95197,c_23228]) ).
tcf(c_95215,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95187,c_2614,c_23228]) ).
tcf(c_95221,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95184,c_2614,c_23228]) ).
tcf(c_95228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95198,c_23228]) ).
tcf(c_95235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95196,c_23233,c_23228]) ).
tcf(c_95241,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95194,c_23233,c_23228]) ).
tcf(c_95247,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95182,c_23228]) ).
tcf(c_95254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95186,c_23233,c_2614,c_23228]) ).
tcf(c_95262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95185,c_2614,c_23228]) ).
tcf(c_95280,plain,
sdtasdt0(sK1,xp) = sdtasdt0(xp,sK1),
inference(superposition,[status(thm)],[c_59,c_2779]) ).
tcf(c_95281,plain,
sdtasdt0(sK1,xq) = sdtasdt0(xq,sK1),
inference(superposition,[status(thm)],[c_62,c_2779]) ).
tcf(c_95282,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sK1) = sdtasdt0(sK1,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2779]) ).
tcf(c_95283,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),sK1) = sdtasdt0(sK1,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2779]) ).
tcf(c_95284,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK1) = sdtasdt0(sK1,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2779]) ).
tcf(c_95285,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),sK1) = sdtasdt0(sK1,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2779]) ).
tcf(c_95286,plain,
sdtasdt0(sK1,sz00) = sdtasdt0(sz00,sK1),
inference(superposition,[status(thm)],[c_103,c_2779]) ).
tcf(c_95287,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sK1) = sdtasdt0(sK1,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2779]) ).
tcf(c_95288,plain,
sdtasdt0(sdtasdt0(xl,xq),sK1) = sdtasdt0(sK1,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2779]) ).
tcf(c_95289,plain,
sdtasdt0(sdtpldt0(xp,xq),sK1) = sdtasdt0(sK1,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2779]) ).
tcf(c_95290,plain,
sdtasdt0(sdtasdt0(xp,sK0),sK1) = sdtasdt0(sK1,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2779]) ).
tcf(c_95291,plain,
sdtasdt0(sdtpldt0(xl,xm),sK1) = sdtasdt0(sK1,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2779]) ).
tcf(c_95292,plain,
sdtasdt0(sdtpldt0(xl,xn),sK1) = sdtasdt0(sK1,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2779]) ).
tcf(c_95293,plain,
sdtasdt0(sdtpldt0(xl,sK0),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2779]) ).
tcf(c_95294,plain,
sdtasdt0(sdtpldt0(xl,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2779]) ).
tcf(c_95295,plain,
sdtasdt0(sdtpldt0(xl,xp),sK1) = sdtasdt0(sK1,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2779]) ).
tcf(c_95296,plain,
sdtasdt0(sdtpldt0(xl,xq),sK1) = sdtasdt0(sK1,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2779]) ).
tcf(c_95297,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2779]) ).
tcf(c_95298,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2779]) ).
tcf(c_95299,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2779]) ).
tcf(c_95300,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2779]) ).
tcf(c_95301,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2779]) ).
tcf(c_95302,plain,
sdtasdt0(sdtpldt0(xm,sK0),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2779]) ).
tcf(c_95303,plain,
sdtasdt0(sdtpldt0(xm,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2779]) ).
tcf(c_95304,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2779]) ).
tcf(c_95305,plain,
sdtasdt0(sdtpldt0(xm,xp),sK1) = sdtasdt0(sK1,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2779]) ).
tcf(c_95306,plain,
sdtasdt0(sdtpldt0(xm,xq),sK1) = sdtasdt0(sK1,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2779]) ).
tcf(c_95307,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2779]) ).
tcf(c_95308,plain,
sdtasdt0(sdtpldt0(xn,sK0),sK1) = sdtasdt0(sK1,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2779]) ).
tcf(c_95309,plain,
sdtasdt0(sdtpldt0(xn,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2779]) ).
tcf(c_95310,plain,
sdtasdt0(sdtpldt0(xn,xp),sK1) = sdtasdt0(sK1,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2779]) ).
tcf(c_95311,plain,
sdtasdt0(sdtpldt0(xn,xq),sK1) = sdtasdt0(sK1,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2779]) ).
tcf(c_95312,plain,
sdtasdt0(sdtpldt0(sK0,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2779]) ).
tcf(c_95313,plain,
sdtasdt0(sdtpldt0(xp,sK0),sK1) = sdtasdt0(sK1,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2779]) ).
tcf(c_95314,plain,
sdtasdt0(sdtpldt0(xq,sK0),sK1) = sdtasdt0(sK1,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2779]) ).
tcf(c_95315,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2779]) ).
tcf(c_95316,plain,
sdtasdt0(sdtpldt0(xp,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2779]) ).
tcf(c_95317,plain,
sdtasdt0(sdtpldt0(xq,sK1),sK1) = sdtasdt0(sK1,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2779]) ).
tcf(c_95318,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2779]) ).
tcf(c_95319,plain,
sdtasdt0(sdtasdt0(xl,xm),sK1) = sdtasdt0(sK1,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2779]) ).
tcf(c_95320,plain,
sdtasdt0(sdtasdt0(xl,xn),sK1) = sdtasdt0(sK1,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2779]) ).
tcf(c_95321,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2779]) ).
tcf(c_95322,plain,
sdtasdt0(sdtasdt0(xm,xn),sK1) = sdtasdt0(sK1,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2779]) ).
tcf(c_95323,plain,
sdtasdt0(sdtasdt0(xm,sK0),sK1) = sdtasdt0(sK1,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2779]) ).
tcf(c_95324,plain,
sdtasdt0(sdtasdt0(xm,sK1),sK1) = sdtasdt0(sK1,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2779]) ).
tcf(c_95325,plain,
sdtasdt0(sdtasdt0(xm,xp),sK1) = sdtasdt0(sK1,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2779]) ).
tcf(c_95326,plain,
sdtasdt0(sdtasdt0(xm,xq),sK1) = sdtasdt0(sK1,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2779]) ).
tcf(c_95327,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2779]) ).
tcf(c_95328,plain,
sdtasdt0(sdtasdt0(xn,sK0),sK1) = sdtasdt0(sK1,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2779]) ).
tcf(c_95329,plain,
sdtasdt0(sdtasdt0(xn,sK1),sK1) = sdtasdt0(sK1,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2779]) ).
tcf(c_95330,plain,
sdtasdt0(sdtasdt0(xn,xp),sK1) = sdtasdt0(sK1,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2779]) ).
tcf(c_95331,plain,
sdtasdt0(sdtasdt0(xn,xq),sK1) = sdtasdt0(sK1,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2779]) ).
tcf(c_95332,plain,
sdtasdt0(sdtasdt0(sK0,sK1),sK1) = sdtasdt0(sK1,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2779]) ).
tcf(c_95333,plain,
sdtasdt0(sdtasdt0(xq,sK0),sK1) = sdtasdt0(sK1,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2779]) ).
tcf(c_95334,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK1) = sdtasdt0(sK1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2779]) ).
tcf(c_95499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sK1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_95280,c_89]) ).
tcf(c_95501,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95280,c_27527]) ).
tcf(c_95502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95280,c_18982]) ).
tcf(c_95503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95280,c_18291]) ).
tcf(c_95504,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95280,c_15630]) ).
tcf(c_95506,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_95280,c_91]) ).
tcf(c_95507,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95280,c_5229]) ).
tcf(c_95508,plain,
( ( sz00 = xp )
| ( sK1 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ( sdtasdt0(xp,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_95280,c_90]) ).
tcf(c_95509,plain,
( doDivides0(sK1,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95280,c_142]) ).
tcf(c_95510,plain,
( aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95280,c_97]) ).
tcf(c_95511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_95280,c_87]) ).
tcf(c_95512,plain,
( sdtlseqdt0(sK1,sdtasdt0(xp,sK1))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95280,c_85]) ).
tcf(c_95513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xp,sK1))
| ( sK1 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_95280,c_87]) ).
tcf(c_95514,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sK1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_95280,c_92]) ).
tcf(c_95515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,sK1))
| ( sz00 = xp )
| ( X0 = sK1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_95280,c_89]) ).
tcf(c_95516,plain,
aNaturalNumber0(sdtasdt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_95510,c_59,c_55]) ).
tcf(c_95517,plain,
doDivides0(sK1,sdtasdt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_95509,c_59,c_55]) ).
tcf(c_95518,plain,
( sdtlseqdt0(sK1,sdtasdt0(xp,sK1))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95512,c_59,c_55]) ).
tcf(c_95521,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95507,c_59,c_55]) ).
tcf(c_95525,plain,
( ( sz00 = xp )
| ( sK1 = sz00 )
| ( sdtasdt0(xp,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95508,c_59,c_55]) ).
tcf(c_95529,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95514,c_59,c_55]) ).
tcf(c_95534,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95506,c_59,c_55]) ).
tcf(c_95539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,sK1))
| ( sz00 = xp )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95515,c_59,c_55]) ).
tcf(c_95545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xp,sK1))
| ( sK1 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95513,c_59,c_55]) ).
tcf(c_95551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95511,c_59,c_55]) ).
tcf(c_95557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95499,c_59,c_55]) ).
tcf(c_95563,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95504,c_59,c_55]) ).
tcf(c_95569,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95501,c_59,c_55]) ).
tcf(c_95576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95503,c_59,c_55]) ).
tcf(c_95585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95502,c_59,c_55]) ).
tcf(c_95692,plain,
sdtasdt0(sdtasdt0(xp,sK1),sK1) = sdtasdt0(sK1,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2779]) ).
tcf(c_95693,plain,
sdtasdt0(sdtasdt0(xp,sK1),sK0) = sdtasdt0(sK0,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2778]) ).
tcf(c_95694,plain,
sdtasdt0(sdtasdt0(xp,sK1),xn) = sdtasdt0(xn,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2777]) ).
tcf(c_95695,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_95516,c_13871]) ).
tcf(c_95696,plain,
sdtasdt0(sdtasdt0(xp,sK1),xm) = sdtasdt0(xm,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2776]) ).
tcf(c_95697,plain,
sdtasdt0(sdtasdt0(xp,sK1),xl) = sdtasdt0(xl,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2775]) ).
tcf(c_95698,plain,
sdtpldt0(sdtasdt0(xp,sK1),sz00) = sdtpldt0(sz00,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2709]) ).
tcf(c_95699,plain,
sdtpldt0(sdtasdt0(xp,sK1),xq) = sdtpldt0(xq,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2705]) ).
tcf(c_95700,plain,
sdtpldt0(sdtasdt0(xp,sK1),xp) = sdtpldt0(xp,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2704]) ).
tcf(c_95701,plain,
sdtpldt0(sdtasdt0(xp,sK1),sK1) = sdtpldt0(sK1,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2703]) ).
tcf(c_95702,plain,
sdtpldt0(sdtasdt0(xp,sK1),sK0) = sdtpldt0(sK0,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2702]) ).
tcf(c_95703,plain,
sdtpldt0(sdtasdt0(xp,sK1),xn) = sdtpldt0(xn,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2701]) ).
tcf(c_95704,plain,
sdtpldt0(sdtasdt0(xp,sK1),xm) = sdtpldt0(xm,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2700]) ).
tcf(c_95705,plain,
sdtpldt0(sdtasdt0(xp,sK1),xl) = sdtpldt0(xl,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2699]) ).
tcf(c_95706,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xp,sK1)),sdtasdt0(X0,sdtasdt0(xp,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xp,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95516,c_79]) ).
tcf(c_95707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sK1),X1),sdtasdt0(sdtasdt0(xp,sK1),X0)) = sdtasdt0(sdtasdt0(xp,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95516,c_78]) ).
tcf(c_95708,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sK1),X1),X0) = sdtasdt0(sdtasdt0(xp,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95516,c_95]) ).
tcf(c_95709,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sK1),X1),X0) = sdtpldt0(sdtasdt0(xp,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95516,c_82]) ).
tcf(c_95710,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,sK1),X0),sdtasdt0(xp,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95516,c_152]) ).
tcf(c_95711,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sK1),X0) = sdtasdt0(X0,sdtasdt0(xp,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95516,c_96]) ).
tcf(c_95712,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sK1),X0) = sdtpldt0(X0,sdtasdt0(xp,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95516,c_83]) ).
tcf(c_95713,plain,
sdtasdt0(sz00,sdtasdt0(xp,sK1)) = sz00,
inference(superposition,[status(thm)],[c_95516,c_94]) ).
tcf(c_95714,plain,
sdtasdt0(sdtasdt0(xp,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_95516,c_93]) ).
tcf(c_95715,plain,
sdtpldt0(sz00,sdtasdt0(xp,sK1)) = sdtasdt0(xp,sK1),
inference(superposition,[status(thm)],[c_95516,c_81]) ).
tcf(c_95716,plain,
sdtpldt0(sdtasdt0(xp,sK1),sz00) = sdtasdt0(xp,sK1),
inference(superposition,[status(thm)],[c_95516,c_80]) ).
tcf(c_95827,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xp,sK1),sK1)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95517,c_106]) ).
tcf(c_95828,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ doDivides0(sdtasdt0(xp,sK1),X0) ),
inference(superposition,[status(thm)],[c_95517,c_99]) ).
tcf(c_95829,plain,
( ( sdtasdt0(sK1,sK3(sK1,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95517,c_102]) ).
tcf(c_95830,plain,
sdtasdt0(sK1,sK3(sK1,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_95829,c_55,c_95516]) ).
tcf(c_95831,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95828,c_55,c_95516]) ).
tcf(c_95835,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xp,sK1),sK1)) = sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95827,c_55,c_95516]) ).
tcf(c_95838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sK1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_95281,c_89]) ).
tcf(c_95840,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95281,c_27527]) ).
tcf(c_95841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95281,c_18982]) ).
tcf(c_95842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95281,c_18291]) ).
tcf(c_95843,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95281,c_15630]) ).
tcf(c_95845,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_95281,c_91]) ).
tcf(c_95846,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95281,c_5229]) ).
tcf(c_95847,plain,
( ( sz00 = xq )
| ( sK1 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ( sdtasdt0(xq,sK1) != sz00 ) ),
inference(superposition,[status(thm)],[c_95281,c_90]) ).
tcf(c_95848,plain,
( doDivides0(sK1,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95281,c_142]) ).
tcf(c_95849,plain,
( aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95281,c_97]) ).
tcf(c_95850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_95281,c_87]) ).
tcf(c_95851,plain,
( sdtlseqdt0(sK1,sdtasdt0(xq,sK1))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[status(thm)],[c_95281,c_85]) ).
tcf(c_95852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xq,sK1))
| ( sK1 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_95281,c_87]) ).
tcf(c_95853,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sK1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sdtasdt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_95281,c_92]) ).
tcf(c_95854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(xq,sK1))
| ( sz00 = xq )
| ( X0 = sK1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(superposition,[status(thm)],[c_95281,c_89]) ).
tcf(c_95855,plain,
aNaturalNumber0(sdtasdt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_95849,c_62,c_55]) ).
tcf(c_95856,plain,
doDivides0(sK1,sdtasdt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_95848,c_62,c_55]) ).
tcf(c_95857,plain,
( sdtlseqdt0(sK1,sdtasdt0(xq,sK1))
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95851,c_62,c_55]) ).
tcf(c_95860,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95846,c_62,c_55]) ).
tcf(c_95864,plain,
( ( sz00 = xq )
| ( sK1 = sz00 )
| ( sdtasdt0(xq,sK1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95847,c_62,c_55]) ).
tcf(c_95868,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95853,c_62,c_55]) ).
tcf(c_95873,plain,
! [X0: $i] :
( ( sK1 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK1,X0) != sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95845,c_62,c_55]) ).
tcf(c_95878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sdtasdt0(xq,sK1))
| ( sz00 = xq )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95854,c_62,c_55]) ).
tcf(c_95884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sdtasdt0(xq,sK1))
| ( sK1 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95852,c_62,c_55]) ).
tcf(c_95890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtasdt0(sK1,X0))
| ( sK1 = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95850,c_62,c_55]) ).
tcf(c_95896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sK1 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95838,c_62,c_55]) ).
tcf(c_95902,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95843,c_62,c_55]) ).
tcf(c_95908,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95840,c_62,c_55]) ).
tcf(c_95915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK1,X0),sK2(xq,xp))
| ( sK1 = sz00 )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95842,c_62,c_55]) ).
tcf(c_95924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = sK1 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95841,c_62,c_55]) ).
tcf(c_95940,plain,
sdtasdt0(sdtasdt0(xq,sK1),sK1) = sdtasdt0(sK1,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2779]) ).
tcf(c_95941,plain,
sdtasdt0(sdtasdt0(xq,sK1),sK0) = sdtasdt0(sK0,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2778]) ).
tcf(c_95942,plain,
sdtasdt0(sdtasdt0(xq,sK1),xn) = sdtasdt0(xn,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2777]) ).
tcf(c_95943,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) )
| ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_95855,c_13871]) ).
tcf(c_95944,plain,
sdtasdt0(sdtasdt0(xq,sK1),xm) = sdtasdt0(xm,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2776]) ).
tcf(c_95945,plain,
sdtasdt0(sdtasdt0(xq,sK1),xl) = sdtasdt0(xl,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2775]) ).
tcf(c_95946,plain,
sdtpldt0(sdtasdt0(xq,sK1),sz00) = sdtpldt0(sz00,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2709]) ).
tcf(c_95947,plain,
sdtpldt0(sdtasdt0(xq,sK1),xq) = sdtpldt0(xq,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2705]) ).
tcf(c_95948,plain,
sdtpldt0(sdtasdt0(xq,sK1),xp) = sdtpldt0(xp,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2704]) ).
tcf(c_95949,plain,
sdtpldt0(sdtasdt0(xq,sK1),sK1) = sdtpldt0(sK1,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2703]) ).
tcf(c_95950,plain,
sdtpldt0(sdtasdt0(xq,sK1),sK0) = sdtpldt0(sK0,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2702]) ).
tcf(c_95951,plain,
sdtpldt0(sdtasdt0(xq,sK1),xn) = sdtpldt0(xn,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2701]) ).
tcf(c_95952,plain,
sdtpldt0(sdtasdt0(xq,sK1),xm) = sdtpldt0(xm,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2700]) ).
tcf(c_95953,plain,
sdtpldt0(sdtasdt0(xq,sK1),xl) = sdtpldt0(xl,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2699]) ).
tcf(c_95954,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xq,sK1)),sdtasdt0(X0,sdtasdt0(xq,sK1))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xq,sK1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95855,c_79]) ).
tcf(c_95955,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,sK1),X1),sdtasdt0(sdtasdt0(xq,sK1),X0)) = sdtasdt0(sdtasdt0(xq,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95855,c_78]) ).
tcf(c_95956,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,sK1),X1),X0) = sdtasdt0(sdtasdt0(xq,sK1),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95855,c_95]) ).
tcf(c_95957,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,sK1),X1),X0) = sdtpldt0(sdtasdt0(xq,sK1),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95855,c_82]) ).
tcf(c_95958,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xq,sK1),X0),sdtasdt0(xq,sK1)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95855,c_152]) ).
tcf(c_95959,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,sK1),X0) = sdtasdt0(X0,sdtasdt0(xq,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95855,c_96]) ).
tcf(c_95960,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,sK1),X0) = sdtpldt0(X0,sdtasdt0(xq,sK1)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95855,c_83]) ).
tcf(c_95961,plain,
sdtasdt0(sz00,sdtasdt0(xq,sK1)) = sz00,
inference(superposition,[status(thm)],[c_95855,c_94]) ).
tcf(c_95962,plain,
sdtasdt0(sdtasdt0(xq,sK1),sz00) = sz00,
inference(superposition,[status(thm)],[c_95855,c_93]) ).
tcf(c_95963,plain,
sdtpldt0(sz00,sdtasdt0(xq,sK1)) = sdtasdt0(xq,sK1),
inference(superposition,[status(thm)],[c_95855,c_81]) ).
tcf(c_95964,plain,
sdtpldt0(sdtasdt0(xq,sK1),sz00) = sdtasdt0(xq,sK1),
inference(superposition,[status(thm)],[c_95855,c_80]) ).
tcf(c_96034,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xq,sK1),sK1)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95856,c_106]) ).
tcf(c_96035,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ doDivides0(sdtasdt0(xq,sK1),X0) ),
inference(superposition,[status(thm)],[c_95856,c_99]) ).
tcf(c_96036,plain,
( ( sdtasdt0(sK1,sK3(sK1,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95856,c_102]) ).
tcf(c_96037,plain,
sdtasdt0(sK1,sK3(sK1,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_96036,c_55,c_95855]) ).
tcf(c_96038,plain,
! [X0: $i] :
( doDivides0(sK1,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xq,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96035,c_55,c_95855]) ).
tcf(c_96042,plain,
( ( sK1 = sz00 )
| ( sdtasdt0(sK1,sdtsldt0(sdtasdt0(xq,sK1),sK1)) = sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96034,c_55,c_95855]) ).
tcf(c_96045,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95713,c_89]) ).
tcf(c_96048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95713,c_18982]) ).
tcf(c_96050,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95713,c_15630]) ).
tcf(c_96060,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ( sdtasdt0(X0,sdtasdt0(xp,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_95713,c_92]) ).
tcf(c_96061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95713,c_89]) ).
tcf(c_96062,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96060,c_103,c_95516]) ).
tcf(c_96067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96061,c_103,c_95516]) ).
tcf(c_96073,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96045,c_103,c_95516]) ).
tcf(c_96079,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96050,c_103,c_2614,c_95516]) ).
tcf(c_96084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96048,c_103,c_2614,c_95516]) ).
tcf(c_96158,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_95563,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_95563]) ).
tcf(c_96159,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(renaming,[status(thm)],[c_96158]) ).
tcf(c_96169,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_11984,c_96159]) ).
tcf(c_96171,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_108,c_96159]) ).
tcf(c_96172,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96171,c_103,c_95516]) ).
tcf(c_96189,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_11984,c_95902]) ).
tcf(c_96191,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_108,c_95902]) ).
tcf(c_96192,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96191,c_103,c_95855]) ).
tcf(c_96219,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_70294]) ).
tcf(c_96220,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_58458,c_70294]) ).
tcf(c_96221,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_70294]) ).
tcf(c_96222,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_70294]) ).
tcf(c_96223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_70294]) ).
tcf(c_96224,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(X0,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_70294]) ).
tcf(c_96225,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_109]) ).
tcf(c_96226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_12741]) ).
tcf(c_96227,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_11962]) ).
tcf(c_96228,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_8700]) ).
tcf(c_96230,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_110]) ).
tcf(c_96231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_73]) ).
tcf(c_96233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3985]) ).
tcf(c_96236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_13877]) ).
tcf(c_96237,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_27678]) ).
tcf(c_96240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_10332]) ).
tcf(c_96248,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_11420]) ).
tcf(c_96251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_5863]) ).
tcf(c_96253,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_41840]) ).
tcf(c_96254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_8672]) ).
tcf(c_96255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_45030]) ).
tcf(c_96257,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(xq,X2),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_109]) ).
tcf(c_96258,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_12741]) ).
tcf(c_96259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_11962]) ).
tcf(c_96260,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_8700]) ).
tcf(c_96261,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3979]) ).
tcf(c_96262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_110]) ).
tcf(c_96263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(X1,sK2(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_73]) ).
tcf(c_96266,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_65677]) ).
tcf(c_96267,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3985]) ).
tcf(c_96268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3648]) ).
tcf(c_96273,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xq,xp),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_61224]) ).
tcf(c_96278,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_13877]) ).
tcf(c_96279,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_27678]) ).
tcf(c_96280,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_10524]) ).
tcf(c_96281,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_15596]) ).
tcf(c_96282,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_10332]) ).
tcf(c_96283,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3676]) ).
tcf(c_96284,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3672]) ).
tcf(c_96285,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3668]) ).
tcf(c_96286,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3664]) ).
tcf(c_96287,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3660]) ).
tcf(c_96288,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3656]) ).
tcf(c_96289,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_3652]) ).
tcf(c_96290,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_11420]) ).
tcf(c_96291,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xq,xl),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_12352]) ).
tcf(c_96292,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_61854]) ).
tcf(c_96297,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_12182]) ).
tcf(c_96299,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_5910]) ).
tcf(c_96300,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_41879]) ).
tcf(c_96301,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_26041]) ).
tcf(c_96302,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_26044]) ).
tcf(c_96304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_10288]) ).
tcf(c_96307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_26045]) ).
tcf(c_96308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_8679]) ).
tcf(c_96309,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_41840]) ).
tcf(c_96310,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_8672]) ).
tcf(c_96311,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_92504]) ).
tcf(c_96312,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_72481]) ).
tcf(c_96313,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_52560]) ).
tcf(c_96314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_26210]) ).
tcf(c_96315,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70294,c_26176]) ).
tcf(c_96316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_25987]) ).
tcf(c_96317,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_20232]) ).
tcf(c_96318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_19480]) ).
tcf(c_96319,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_19422]) ).
tcf(c_96320,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_19395]) ).
tcf(c_96321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_24035]) ).
tcf(c_96322,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_17825]) ).
tcf(c_96323,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_17392]) ).
tcf(c_96324,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_14477]) ).
tcf(c_96325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_27527]) ).
tcf(c_96326,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_18982]) ).
tcf(c_96327,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_18291]) ).
tcf(c_96328,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_15630]) ).
tcf(c_96329,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_64488]) ).
tcf(c_96330,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_28598]) ).
tcf(c_96331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_70294,c_16765]) ).
tcf(c_96332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_70294,c_17353]) ).
tcf(c_96335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_70294,c_19367]) ).
tcf(c_96339,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_72393]) ).
tcf(c_96340,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_71908]) ).
tcf(c_96341,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_52045]) ).
tcf(c_96342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_50432]) ).
tcf(c_96343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_43884]) ).
tcf(c_96344,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_39354]) ).
tcf(c_96347,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_70294,c_52813]) ).
tcf(c_96348,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_70294,c_52685]) ).
tcf(c_96350,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_30160]) ).
tcf(c_96354,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_45030]) ).
tcf(c_96359,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_27950]) ).
tcf(c_96362,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_70294,c_30244]) ).
tcf(c_96363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_70294,c_35118]) ).
tcf(c_96364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_70294,c_35089]) ).
tcf(c_96365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_70294,c_40412]) ).
tcf(c_96366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_70294,c_40382]) ).
tcf(c_96367,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_70294,c_65702]) ).
tcf(c_96368,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_70294,c_31388]) ).
tcf(c_96369,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_70294,c_52778]) ).
tcf(c_96370,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_70294,c_51464]) ).
tcf(c_96371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_70294,c_51430]) ).
tcf(c_96372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_70294,c_50740]) ).
tcf(c_96377,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_70294,c_44832]) ).
tcf(c_96381,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_70294,c_54368]) ).
tcf(c_96385,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_70294,c_60430]) ).
tcf(c_96389,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_70294,c_68332]) ).
tcf(c_96395,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_70294,c_78325]) ).
tcf(c_96404,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_70294,c_88984]) ).
tcf(c_96405,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_70294,c_90791]) ).
tcf(c_96406,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_70294,c_96159]) ).
tcf(c_96407,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_70294,c_95902]) ).
tcf(c_96408,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_70294,c_109]) ).
tcf(c_96413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_110]) ).
tcf(c_96414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_73]) ).
tcf(c_96415,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_61224]) ).
tcf(c_96418,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xp),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xp)) ),
inference(equality_factoring,[status(thm)],[c_70294]) ).
tcf(c_96420,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xq)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96289,c_2464]) ).
tcf(c_96421,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96288,c_2464]) ).
tcf(c_96422,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK1)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96287,c_2464]) ).
tcf(c_96423,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK0)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96286,c_2464]) ).
tcf(c_96424,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96285,c_2464]) ).
tcf(c_96425,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96284,c_2464]) ).
tcf(c_96426,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96283,c_2464]) ).
tcf(c_96427,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96281,c_2464]) ).
tcf(c_96435,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(light_normalisation,[status(thm)],[c_96406,c_2464]) ).
tcf(c_96436,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96292,c_52]) ).
tcf(c_96444,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96291,c_14300]) ).
tcf(c_96445,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96444,c_49]) ).
tcf(c_96453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96273,c_58458]) ).
tcf(c_96454,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96453,c_59]) ).
tcf(c_96462,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96268,c_62]) ).
tcf(c_96470,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96266,c_62]) ).
tcf(c_96478,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96223,c_49]) ).
tcf(c_96486,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96222,c_50]) ).
tcf(c_96494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96221,c_51]) ).
tcf(c_96502,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96220,c_59]) ).
tcf(c_96510,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(light_normalisation,[status(thm)],[c_96418,c_58458]) ).
tcf(c_96518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96282,c_2464]) ).
tcf(c_96519,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96290,c_2464]) ).
tcf(c_96529,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtasdt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(light_normalisation,[status(thm)],[c_96407,c_2464]) ).
tcf(c_96530,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96280,c_2464]) ).
tcf(c_96531,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96251,c_2464]) ).
tcf(c_96575,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_96362,c_2464]) ).
tcf(c_96576,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_96359,c_2464]) ).
tcf(c_96577,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96324,c_2464]) ).
tcf(c_96578,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96267,c_62]) ).
tcf(c_96608,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96231,c_103]) ).
tcf(c_96617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96230,c_103]) ).
tcf(c_96627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96227,c_103]) ).
tcf(c_96637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96321,c_2464]) ).
tcf(c_96638,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96279,c_2464]) ).
tcf(c_96639,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_96278,c_2464]) ).
tcf(c_96640,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96248,c_103]) ).
tcf(c_96650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96228,c_103]) ).
tcf(c_96660,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96328,c_2464]) ).
tcf(c_96670,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96225,c_103]) ).
tcf(c_96681,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(light_normalisation,[status(thm)],[c_96404,c_2464]) ).
tcf(c_96682,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(light_normalisation,[status(thm)],[c_96395,c_2464]) ).
tcf(c_96683,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(light_normalisation,[status(thm)],[c_96389,c_2464]) ).
tcf(c_96684,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(light_normalisation,[status(thm)],[c_96385,c_2464]) ).
tcf(c_96685,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(light_normalisation,[status(thm)],[c_96381,c_2464]) ).
tcf(c_96686,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(light_normalisation,[status(thm)],[c_96331,c_2464]) ).
tcf(c_96695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96325,c_2464]) ).
tcf(c_96696,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96226,c_103]) ).
tcf(c_96706,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_96368,c_2464]) ).
tcf(c_96707,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_96367,c_2464]) ).
tcf(c_96708,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(light_normalisation,[status(thm)],[c_96330,c_2464]) ).
tcf(c_96709,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96414,c_59]) ).
tcf(c_96719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96413,c_59]) ).
tcf(c_96730,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X2,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96408,c_59]) ).
tcf(c_96742,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96350,c_2464]) ).
tcf(c_96743,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(X1,sK2(X1,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96236,c_103]) ).
tcf(c_96753,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(light_normalisation,[status(thm)],[c_96332,c_2464]) ).
tcf(c_96754,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_96335,c_2464]) ).
tcf(c_96755,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(light_normalisation,[status(thm)],[c_96329,c_2464]) ).
tcf(c_96756,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96323,c_2464]) ).
tcf(c_96757,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sK2(xq,xp))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96322,c_2464]) ).
tcf(c_96778,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(light_normalisation,[status(thm)],[c_96405,c_2464]) ).
tcf(c_96779,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96316,c_2464]) ).
tcf(c_96780,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sK2(xq,xp))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96327,c_2464]) ).
tcf(c_96781,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sK2(xq,xp))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_96326,c_2464]) ).
tcf(c_96782,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96319,c_2464]) ).
tcf(c_96783,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96302,c_2464]) ).
tcf(c_96784,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96254,c_2465]) ).
tcf(c_96785,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96784,c_103]) ).
tcf(c_96795,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_96315,c_2464]) ).
tcf(c_96815,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(light_normalisation,[status(thm)],[c_96377,c_2464]) ).
tcf(c_96816,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96314,c_2464]) ).
tcf(c_96817,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96301,c_2464]) ).
tcf(c_96818,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96320,c_2464]) ).
tcf(c_96819,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96340,c_2464]) ).
tcf(c_96820,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96312,c_2464]) ).
tcf(c_96821,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96344,c_2464]) ).
tcf(c_96822,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96318,c_2464]) ).
tcf(c_96823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96253,c_103]) ).
tcf(c_96836,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96317,c_2464]) ).
tcf(c_96849,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96339,c_2464]) ).
tcf(c_96850,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(light_normalisation,[status(thm)],[c_96364,c_2464]) ).
tcf(c_96851,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96343,c_2464]) ).
tcf(c_96865,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96311,c_2464]) ).
tcf(c_96866,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_96370,c_2464]) ).
tcf(c_96867,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96300,c_2464]) ).
tcf(c_96868,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96255,c_103]) ).
tcf(c_96882,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(light_normalisation,[status(thm)],[c_96366,c_2464]) ).
tcf(c_96883,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96313,c_2464]) ).
tcf(c_96884,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96342,c_2464]) ).
tcf(c_96885,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(light_normalisation,[status(thm)],[c_96363,c_2464]) ).
tcf(c_96886,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_96341,c_2464]) ).
tcf(c_96887,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(light_normalisation,[status(thm)],[c_96365,c_2464]) ).
tcf(c_96888,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_96369,c_2464]) ).
tcf(c_96889,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_96348,c_2464]) ).
tcf(c_96890,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(light_normalisation,[status(thm)],[c_96372,c_2464]) ).
tcf(c_96891,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(light_normalisation,[status(thm)],[c_96371,c_2464]) ).
tcf(c_96892,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_96347,c_2464]) ).
tcf(c_96902,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_89]) ).
tcf(c_96904,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_27527]) ).
tcf(c_96905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_18982]) ).
tcf(c_96906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_18291]) ).
tcf(c_96907,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_15630]) ).
tcf(c_96909,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_25541,c_91]) ).
tcf(c_96910,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_5229]) ).
tcf(c_96911,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_90]) ).
tcf(c_96914,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))),X0) ),
inference(superposition,[status(thm)],[c_25541,c_87]) ).
tcf(c_96915,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_85]) ).
tcf(c_96916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_87]) ).
tcf(c_96917,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_25541,c_92]) ).
tcf(c_96918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(superposition,[status(thm)],[c_25541,c_89]) ).
tcf(c_96919,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96915,c_79945,c_23228]) ).
tcf(c_96924,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96909,c_23233,c_23228]) ).
tcf(c_96929,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96917,c_23228]) ).
tcf(c_96935,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96907,c_2614,c_23228]) ).
tcf(c_96941,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96904,c_2614,c_23228]) ).
tcf(c_96948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96918,c_23228]) ).
tcf(c_96955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96916,c_23233,c_23228]) ).
tcf(c_96961,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96914,c_23233,c_23228]) ).
tcf(c_96967,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96902,c_23228]) ).
tcf(c_96974,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96906,c_23233,c_2614,c_23228]) ).
tcf(c_96982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96905,c_2614,c_23228]) ).
tcf(c_97059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95714,c_18291]) ).
tcf(c_97062,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ( sdtasdt0(sdtasdt0(xp,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_95714,c_91]) ).
tcf(c_97065,plain,
( doDivides0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95714,c_142]) ).
tcf(c_97067,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95714,c_87]) ).
tcf(c_97069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95714,c_87]) ).
tcf(c_97072,plain,
doDivides0(sdtasdt0(xp,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_97065,c_103,c_95516]) ).
tcf(c_97073,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97062,c_103,c_95516]) ).
tcf(c_97078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97069,c_103,c_95516]) ).
tcf(c_97084,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97067,c_103,c_95516]) ).
tcf(c_97090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97059,c_103,c_2614,c_95516]) ).
tcf(c_97098,plain,
( ( sdtasdt0(xp,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,sK1),sdtsldt0(sz00,sdtasdt0(xp,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97072,c_106]) ).
tcf(c_97099,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97072,c_99]) ).
tcf(c_97100,plain,
( ( sdtasdt0(sdtasdt0(xp,sK1),sK3(sdtasdt0(xp,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97072,c_102]) ).
tcf(c_97101,plain,
sdtasdt0(sdtasdt0(xp,sK1),sK3(sdtasdt0(xp,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_97100,c_103,c_95516]) ).
tcf(c_97102,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97099,c_103,c_95516]) ).
tcf(c_97106,plain,
( ( sdtasdt0(xp,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,sK1),sdtsldt0(sz00,sdtasdt0(xp,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97098,c_103,c_95516]) ).
tcf(c_97109,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95961,c_89]) ).
tcf(c_97112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95961,c_18982]) ).
tcf(c_97114,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95961,c_15630]) ).
tcf(c_97124,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ( sdtasdt0(X0,sdtasdt0(xq,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_95961,c_92]) ).
tcf(c_97125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95961,c_89]) ).
tcf(c_97126,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xq,sK1)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97124,c_103,c_95855]) ).
tcf(c_97131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK1)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97125,c_103,c_95855]) ).
tcf(c_97137,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,sK1)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97109,c_103,c_95855]) ).
tcf(c_97143,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97114,c_103,c_2614,c_95855]) ).
tcf(c_97148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97112,c_103,c_2614,c_95855]) ).
tcf(c_97160,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95962,c_18291]) ).
tcf(c_97163,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ( sdtasdt0(sdtasdt0(xq,sK1),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_95962,c_91]) ).
tcf(c_97166,plain,
( doDivides0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95962,c_142]) ).
tcf(c_97168,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95962,c_87]) ).
tcf(c_97170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95962,c_87]) ).
tcf(c_97173,plain,
doDivides0(sdtasdt0(xq,sK1),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_97166,c_103,c_95855]) ).
tcf(c_97174,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xq,sK1),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97163,c_103,c_95855]) ).
tcf(c_97179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK1),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97170,c_103,c_95855]) ).
tcf(c_97185,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,sK1),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97168,c_103,c_95855]) ).
tcf(c_97191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97160,c_103,c_2614,c_95855]) ).
tcf(c_97199,plain,
( ( sdtasdt0(xq,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,sK1),sdtsldt0(sz00,sdtasdt0(xq,sK1))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_97173,c_106]) ).
tcf(c_97200,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xq,sK1),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_97173,c_99]) ).
tcf(c_97201,plain,
( ( sdtasdt0(sdtasdt0(xq,sK1),sK3(sdtasdt0(xq,sK1),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_97173,c_102]) ).
tcf(c_97202,plain,
sdtasdt0(sdtasdt0(xq,sK1),sK3(sdtasdt0(xq,sK1),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_97201,c_103,c_95855]) ).
tcf(c_97203,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xq,sK1),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97200,c_103,c_95855]) ).
tcf(c_97207,plain,
( ( sdtasdt0(xq,sK1) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,sK1),sdtsldt0(sz00,sdtasdt0(xq,sK1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97199,c_103,c_95855]) ).
tcf(c_97210,plain,
sdtlseqdt0(sK1,sdtasdt0(xp,sK1)),
inference(global_subsumption_just,[status(thm)],[c_95518,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_95518]) ).
tcf(c_97212,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97210,c_109]) ).
tcf(c_97213,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97210,c_12741]) ).
tcf(c_97214,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97210,c_11962]) ).
tcf(c_97215,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_97210,c_8700]) ).
tcf(c_97216,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97210,c_3979]) ).
tcf(c_97217,plain,
( ( sdtasdt0(xp,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sK1) ),
inference(superposition,[status(thm)],[c_97210,c_110]) ).
tcf(c_97218,plain,
( ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97210,c_73]) ).
tcf(c_97219,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97216,c_55,c_95516]) ).
tcf(c_97222,plain,
sdtpldt0(sK1,sK2(sK1,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_97218,c_55,c_95516]) ).
tcf(c_97223,plain,
( ( sdtasdt0(xp,sK1) = sK1 )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97217,c_55,c_95516]) ).
tcf(c_97226,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97212,c_55,c_95516]) ).
tcf(c_97232,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97213,c_55,c_95516]) ).
tcf(c_97335,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97219,c_109]) ).
tcf(c_97336,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97219,c_12741]) ).
tcf(c_97337,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97219,c_11962]) ).
tcf(c_97338,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_97219,c_8700]) ).
tcf(c_97340,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtasdt0(xp,sK1) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),xq) ),
inference(superposition,[status(thm)],[c_97219,c_110]) ).
tcf(c_97341,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_97219,c_73]) ).
tcf(c_97342,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97341,c_62,c_95516]) ).
tcf(c_97345,plain,
( sdtlseqdt0(sK1,xp)
| ( sdtasdt0(xp,sK1) = xq )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97340,c_62,c_95516]) ).
tcf(c_97349,plain,
! [X0: $i] :
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97335,c_62,c_95516]) ).
tcf(c_97354,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97337,c_62,c_95516]) ).
tcf(c_97360,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97338,c_62,c_95516]) ).
tcf(c_97366,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97336,c_62,c_95516]) ).
tcf(c_97377,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ( sz00 = xq )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95857,c_109]) ).
tcf(c_97378,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95857,c_12741]) ).
tcf(c_97379,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95857,c_11962]) ).
tcf(c_97380,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95857,c_8700]) ).
tcf(c_97382,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sK1) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sK1) ),
inference(superposition,[status(thm)],[c_95857,c_110]) ).
tcf(c_97383,plain,
( ( sz00 = xq )
| ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95857,c_73]) ).
tcf(c_97384,plain,
( ( sz00 = xq )
| ( sdtpldt0(sK1,sK2(sK1,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97383,c_55,c_95855]) ).
tcf(c_97387,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sK1) = sK1 )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97382,c_55,c_95855]) ).
tcf(c_97391,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ( sz00 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97377,c_55,c_95855]) ).
tcf(c_97398,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97378,c_55,c_95855]) ).
tcf(c_97416,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_70294,c_97360]) ).
tcf(c_97417,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_11984,c_97360]) ).
tcf(c_97419,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_108,c_97360]) ).
tcf(c_97421,plain,
( sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97417,c_103,c_95516]) ).
tcf(c_97428,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK1,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(light_normalisation,[status(thm)],[c_97416,c_2464]) ).
tcf(c_97431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_96308,c_8631,c_96308]) ).
tcf(c_97450,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_97431]) ).
tcf(c_97451,plain,
( sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sz00)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sz00) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_97431]) ).
tcf(c_97452,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xq,xl),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_97431]) ).
tcf(c_97453,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,xm),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_97431]) ).
tcf(c_97454,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xq,xn),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_97431]) ).
tcf(c_97455,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2473,c_97431]) ).
tcf(c_97456,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2474,c_97431]) ).
tcf(c_97457,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2475,c_97431]) ).
tcf(c_97458,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_97431]) ).
tcf(c_97459,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_97431]) ).
tcf(c_97460,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xl)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_97431]) ).
tcf(c_97461,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_97431]) ).
tcf(c_97462,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_97431]) ).
tcf(c_97463,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_97431]) ).
tcf(c_97464,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_97431]) ).
tcf(c_97465,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_97431]) ).
tcf(c_97466,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_97431]) ).
tcf(c_97467,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_97431]) ).
tcf(c_97469,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_97431]) ).
tcf(c_97470,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_97431]) ).
tcf(c_97471,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16253,c_97431]) ).
tcf(c_97472,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16533,c_97431]) ).
tcf(c_97473,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_97431]) ).
tcf(c_97474,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17183,c_97431]) ).
tcf(c_97475,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_97431]) ).
tcf(c_97476,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_97431]) ).
tcf(c_97477,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_97431]) ).
tcf(c_97478,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_97431]) ).
tcf(c_97479,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_97431]) ).
tcf(c_97480,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_97431]) ).
tcf(c_97481,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_97431]) ).
tcf(c_97482,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sdtpldt0(xl,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_97431]) ).
tcf(c_97483,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sdtpldt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_97431]) ).
tcf(c_97484,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_23383,c_97431]) ).
tcf(c_97485,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_25416,c_97431]) ).
tcf(c_97486,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27202,c_97431]) ).
tcf(c_97487,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27491,c_97431]) ).
tcf(c_97488,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_97431]) ).
tcf(c_97489,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_97431]) ).
tcf(c_97490,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41287,c_97431]) ).
tcf(c_97491,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41508,c_97431]) ).
tcf(c_97492,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_97431]) ).
tcf(c_97493,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_97431]) ).
tcf(c_97494,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49626,c_97431]) ).
tcf(c_97495,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49874,c_97431]) ).
tcf(c_97496,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51183,c_97431]) ).
tcf(c_97497,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56145,c_97431]) ).
tcf(c_97498,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_56428,c_97431]) ).
tcf(c_97499,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_97431]) ).
tcf(c_97500,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_97431]) ).
tcf(c_97501,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_97431]) ).
tcf(c_97502,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_97431]) ).
tcf(c_97503,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69377,c_97431]) ).
tcf(c_97504,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xm,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70017,c_97431]) ).
tcf(c_97505,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_97431]) ).
tcf(c_97506,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_97431]) ).
tcf(c_97507,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80772,c_97431]) ).
tcf(c_97508,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xn,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81056,c_97431]) ).
tcf(c_97509,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_97431]) ).
tcf(c_97510,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_97431]) ).
tcf(c_97511,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87266,c_97431]) ).
tcf(c_97512,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87839,c_97431]) ).
tcf(c_97513,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88632,c_97431]) ).
tcf(c_97514,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_109]) ).
tcf(c_97515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_12741]) ).
tcf(c_97516,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_11962]) ).
tcf(c_97517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_8700]) ).
tcf(c_97518,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_3979]) ).
tcf(c_97519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_97431,c_110]) ).
tcf(c_97520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_73]) ).
tcf(c_97521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_12745]) ).
tcf(c_97522,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_12182]) ).
tcf(c_97523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_8702]) ).
tcf(c_97524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_5910]) ).
tcf(c_97525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_47638]) ).
tcf(c_97526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_45030]) ).
tcf(c_97527,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_97450,c_2464]) ).
tcf(c_97528,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97458,c_62]) ).
tcf(c_97536,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_97457,c_58458]) ).
tcf(c_97537,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97536,c_59]) ).
tcf(c_97545,plain,
( sdtlseqdt0(sK2(xq,xp),sK1)
| sdtlseqdt0(sdtpldt0(xq,sK1),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK1 )
| ( sK2(sz00,sK2(xq,xp)) = sK1 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97456,c_55]) ).
tcf(c_97553,plain,
( sdtlseqdt0(sK2(xq,xp),sK0)
| sdtlseqdt0(sdtpldt0(xq,sK0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = sK0 )
| ( sK2(sz00,sK2(xq,xp)) = sK0 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97455,c_52]) ).
tcf(c_97561,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_97454,c_39902]) ).
tcf(c_97562,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97561,c_51]) ).
tcf(c_97570,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_97453,c_26865]) ).
tcf(c_97571,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97570,c_50]) ).
tcf(c_97579,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_97452,c_14300]) ).
tcf(c_97580,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97579,c_49]) ).
tcf(c_97652,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97513,c_88525]) ).
tcf(c_97660,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97512,c_87416]) ).
tcf(c_97668,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK0,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97511,c_87113]) ).
tcf(c_97676,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97510,c_81668]) ).
tcf(c_97684,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97509,c_81151]) ).
tcf(c_97692,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97508,c_80869]) ).
tcf(c_97700,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97507,c_80618]) ).
tcf(c_97708,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97506,c_71595]) ).
tcf(c_97716,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97505,c_71319]) ).
tcf(c_97724,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97504,c_69923]) ).
tcf(c_97732,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97503,c_69208]) ).
tcf(c_97740,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xm,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97502,c_68944]) ).
tcf(c_97748,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97501,c_62562]) ).
tcf(c_97756,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97500,c_61931]) ).
tcf(c_97764,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97499,c_58661]) ).
tcf(c_97772,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97498,c_56252]) ).
tcf(c_97780,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97497,c_55938]) ).
tcf(c_97788,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97496,c_51000]) ).
tcf(c_97796,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97495,c_49747]) ).
tcf(c_97804,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sK0,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK0,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK0,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97494,c_49492]) ).
tcf(c_97812,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97493,c_42683]) ).
tcf(c_97820,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97492,c_41576]) ).
tcf(c_97828,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97491,c_41362]) ).
tcf(c_97836,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97490,c_40684]) ).
tcf(c_97844,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97489,c_29400]) ).
tcf(c_97852,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97488,c_28177]) ).
tcf(c_97860,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97487,c_27269]) ).
tcf(c_97868,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97486,c_26991]) ).
tcf(c_97876,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97474,c_17110]) ).
tcf(c_97884,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97473,c_16905]) ).
tcf(c_97892,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97472,c_16398]) ).
tcf(c_97900,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sK0))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97471,c_16168]) ).
tcf(c_97908,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97470,c_14856]) ).
tcf(c_97916,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97469,c_14661]) ).
tcf(c_97924,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97459,c_2518]) ).
tcf(c_98076,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97485,c_25261]) ).
tcf(c_98084,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97484,c_23228]) ).
tcf(c_98092,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97481,c_22296]) ).
tcf(c_98100,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97478,c_21527]) ).
tcf(c_98108,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97476,c_20938]) ).
tcf(c_98483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(X0)
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(xq,xp) = X0 )
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_97517,c_8631,c_96307]) ).
tcf(c_98484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_98483]) ).
tcf(c_98506,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00) ),
inference(superposition,[status(thm)],[c_65673,c_98484]) ).
tcf(c_98507,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_58458,c_98484]) ).
tcf(c_98508,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ sdtlseqdt0(sdtpldt0(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39902,c_98484]) ).
tcf(c_98509,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26865,c_98484]) ).
tcf(c_98510,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ~ sdtlseqdt0(sdtpldt0(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14300,c_98484]) ).
tcf(c_98511,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_17331,c_98484]) ).
tcf(c_98512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(sdtpldt0(sz00,X1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_109]) ).
tcf(c_98517,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_110]) ).
tcf(c_98518,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_73]) ).
tcf(c_98519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_61224]) ).
tcf(c_98520,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_109]) ).
tcf(c_98521,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_12741]) ).
tcf(c_98522,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_11962]) ).
tcf(c_98523,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_98484,c_8700]) ).
tcf(c_98525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_98484,c_110]) ).
tcf(c_98526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_73]) ).
tcf(c_98527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_41840]) ).
tcf(c_98528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_8672]) ).
tcf(c_98529,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_98510,c_2470]) ).
tcf(c_98530,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_98509,c_2471]) ).
tcf(c_98531,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_98508,c_2472]) ).
tcf(c_98532,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98531,c_51]) ).
tcf(c_98540,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_98507,c_2475]) ).
tcf(c_98560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98520,c_103]) ).
tcf(c_98572,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_98528,c_2465]) ).
tcf(c_98573,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98572,c_103]) ).
tcf(c_98584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98526,c_103]) ).
tcf(c_98594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98525,c_103]) ).
tcf(c_98606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98523,c_103]) ).
tcf(c_98618,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98518,c_59]) ).
tcf(c_98629,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98517,c_59]) ).
tcf(c_98641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(sdtpldt0(sz00,X1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98512,c_59]) ).
tcf(c_98663,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98521,c_103]) ).
tcf(c_98675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98527,c_103]) ).
tcf(c_98741,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_96310,c_8631,c_96310]) ).
tcf(c_98760,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sz00))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_98741]) ).
tcf(c_98769,plain,
( sdtlseqdt0(sz00,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_98741]) ).
tcf(c_98770,plain,
( sdtlseqdt0(sz00,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_98741]) ).
tcf(c_98771,plain,
( sdtlseqdt0(sz00,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_98741]) ).
tcf(c_98772,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK0))
| sdtlseqdt0(sK0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK0) )
| ~ aNaturalNumber0(sK2(sz00,sK0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3043,c_98741]) ).
tcf(c_98773,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK1))
| sdtlseqdt0(sK1,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3042,c_98741]) ).
tcf(c_98774,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_98741]) ).
tcf(c_98775,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xq))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_98741]) ).
tcf(c_98776,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_98741]) ).
tcf(c_98784,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_98741]) ).
tcf(c_98786,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_98741]) ).
tcf(c_98788,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_22116,c_98741]) ).
tcf(c_98789,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,sK1)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_22256,c_98741]) ).
tcf(c_98791,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_98741]) ).
tcf(c_98792,plain,
( sdtlseqdt0(sz00,sK2(sz00,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_98741]) ).
tcf(c_98823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_109]) ).
tcf(c_98824,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_12741]) ).
tcf(c_98825,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_11962]) ).
tcf(c_98826,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_8700]) ).
tcf(c_98827,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_3979]) ).
tcf(c_98828,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_98741,c_110]) ).
tcf(c_98829,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_73]) ).
tcf(c_98830,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_5863]) ).
tcf(c_98833,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_98741,c_109]) ).
tcf(c_98838,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_98741,c_110]) ).
tcf(c_98839,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_98741,c_73]) ).
tcf(c_98840,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_98741,c_61224]) ).
tcf(c_99026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98833,c_59]) ).
tcf(c_99070,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98839,c_59]) ).
tcf(c_99080,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98838,c_59]) ).
tcf(c_99237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_98519,c_62,c_11614,c_98519]) ).
tcf(c_99238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_99237]) ).
tcf(c_99260,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_58458,c_99238]) ).
tcf(c_99261,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ sdtlseqdt0(sdtpldt0(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39902,c_99238]) ).
tcf(c_99262,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26865,c_99238]) ).
tcf(c_99263,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ~ sdtlseqdt0(sdtpldt0(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14300,c_99238]) ).
tcf(c_99264,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_17331,c_99238]) ).
tcf(c_99265,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(sdtpldt0(sz00,X1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_109]) ).
tcf(c_99270,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_110]) ).
tcf(c_99271,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_73]) ).
tcf(c_99272,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_109]) ).
tcf(c_99273,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_12741]) ).
tcf(c_99274,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_11962]) ).
tcf(c_99275,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_99238,c_8700]) ).
tcf(c_99277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_99238,c_110]) ).
tcf(c_99278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_73]) ).
tcf(c_99279,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_41840]) ).
tcf(c_99280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_8672]) ).
tcf(c_99281,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99263,c_2470]) ).
tcf(c_99282,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99262,c_2471]) ).
tcf(c_99283,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99261,c_2472]) ).
tcf(c_99284,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99283,c_51]) ).
tcf(c_99292,plain,
( sdtlseqdt0(sdtpldt0(xp,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99260,c_2475]) ).
tcf(c_99293,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99272,c_103]) ).
tcf(c_99305,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99280,c_2465]) ).
tcf(c_99306,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99305,c_103]) ).
tcf(c_99317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99278,c_103]) ).
tcf(c_99327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99277,c_103]) ).
tcf(c_99338,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99274,c_103]) ).
tcf(c_99350,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99275,c_103]) ).
tcf(c_99362,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99271,c_50]) ).
tcf(c_99373,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99270,c_50]) ).
tcf(c_99385,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(sdtpldt0(sz00,X1),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99265,c_50]) ).
tcf(c_99407,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99273,c_103]) ).
tcf(c_99419,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99279,c_103]) ).
tcf(c_99477,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_89]) ).
tcf(c_99479,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_27527]) ).
tcf(c_99480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_18982]) ).
tcf(c_99481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_18291]) ).
tcf(c_99482,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_15630]) ).
tcf(c_99484,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_26853,c_91]) ).
tcf(c_99485,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_5229]) ).
tcf(c_99486,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_90]) ).
tcf(c_99489,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00),X0) ),
inference(superposition,[status(thm)],[c_26853,c_87]) ).
tcf(c_99490,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_85]) ).
tcf(c_99491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_87]) ).
tcf(c_99492,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26853,c_92]) ).
tcf(c_99493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(superposition,[status(thm)],[c_26853,c_89]) ).
tcf(c_99494,plain,
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99490,c_90540,c_25261]) ).
tcf(c_99499,plain,
! [X0: $i] :
( ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99484,c_25266,c_25261]) ).
tcf(c_99504,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ( sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99492,c_25261]) ).
tcf(c_99510,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99482,c_2614,c_25261]) ).
tcf(c_99516,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99479,c_2614,c_25261]) ).
tcf(c_99523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99493,c_25261]) ).
tcf(c_99530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sz00)
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99491,c_25266,c_25261]) ).
tcf(c_99536,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ~ sdtlseqdt0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99489,c_25266,c_25261]) ).
tcf(c_99542,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99477,c_25261]) ).
tcf(c_99549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00))
| ~ sdtlseqdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99481,c_25266,c_2614,c_25261]) ).
tcf(c_99557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sK3(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99480,c_2614,c_25261]) ).
tcf(c_99566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK1)),sdtasdt0(xp,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95715,c_70]) ).
tcf(c_99570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95715,c_17825]) ).
tcf(c_99571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95715,c_17392]) ).
tcf(c_99572,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95715,c_14477]) ).
tcf(c_99578,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95715,c_145]) ).
tcf(c_99580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(X0,sdtasdt0(xp,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95715,c_70]) ).
tcf(c_99581,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_95715,c_76]) ).
tcf(c_99582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),X0) ),
inference(superposition,[status(thm)],[c_95715,c_68]) ).
tcf(c_99583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95715,c_68]) ).
tcf(c_99585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ( sdtpldt0(X0,sdtasdt0(xp,sK1)) != sdtasdt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_95715,c_77]) ).
tcf(c_99587,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_97431]) ).
tcf(c_99589,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_51524]) ).
tcf(c_99590,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_49956]) ).
tcf(c_99591,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95715,c_47638]) ).
tcf(c_99592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_41879]) ).
tcf(c_99593,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_46832]) ).
tcf(c_99594,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_43963]) ).
tcf(c_99595,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_43470]) ).
tcf(c_99596,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_43085]) ).
tcf(c_99597,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_42039]) ).
tcf(c_99598,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_35146]) ).
tcf(c_99599,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_26041]) ).
tcf(c_99600,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_26044]) ).
tcf(c_99601,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_95715,c_26052]) ).
tcf(c_99602,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_15930]) ).
tcf(c_99603,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_15792]) ).
tcf(c_99604,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_24215]) ).
tcf(c_99605,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_24215]) ).
tcf(c_99606,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_15931]) ).
tcf(c_99607,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_24885]) ).
tcf(c_99608,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95715,c_15793]) ).
tcf(c_99609,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_95715,c_8652]) ).
tcf(c_99610,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,sK1))) ),
inference(superposition,[status(thm)],[c_95715,c_45030]) ).
tcf(c_99611,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_99578,c_103,c_95516]) ).
tcf(c_99612,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,sK1)) != sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99585,c_103,c_95516]) ).
tcf(c_99616,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99581,c_103,c_95516]) ).
tcf(c_99620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(X0,sdtasdt0(xp,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99580,c_103,c_95516]) ).
tcf(c_99626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99583,c_103,c_95516]) ).
tcf(c_99631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99582,c_103,c_95516]) ).
tcf(c_99636,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99572,c_103,c_95516]) ).
tcf(c_99641,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99609,c_95516]) ).
tcf(c_99646,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99608,c_95516]) ).
tcf(c_99652,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99606,c_95516]) ).
tcf(c_99658,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99605,c_95715]) ).
tcf(c_99659,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99658,c_95516]) ).
tcf(c_99667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99570,c_103,c_95516]) ).
tcf(c_99675,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99603,c_95516]) ).
tcf(c_99682,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99602,c_95516]) ).
tcf(c_99689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99571,c_103,c_95516]) ).
tcf(c_99704,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99601,c_95715]) ).
tcf(c_99705,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99704,c_95516]) ).
tcf(c_99711,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99600,c_95715]) ).
tcf(c_99712,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99711,c_95516]) ).
tcf(c_99719,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99598,c_95516]) ).
tcf(c_99727,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99599,c_95715]) ).
tcf(c_99728,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99727,c_95516]) ).
tcf(c_99736,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99593,c_95715]) ).
tcf(c_99737,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99736,c_95516]) ).
tcf(c_99744,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99587,c_95516]) ).
tcf(c_99752,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1)) ),
inference(light_normalisation,[status(thm)],[c_99591,c_95715]) ).
tcf(c_99753,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99752,c_95516]) ).
tcf(c_99760,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99597,c_95715]) ).
tcf(c_99761,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99760,c_95516]) ).
tcf(c_99769,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99596,c_95516]) ).
tcf(c_99777,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99595,c_95516]) ).
tcf(c_99785,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99594,c_95516]) ).
tcf(c_99792,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99610,c_95715]) ).
tcf(c_99793,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99792,c_95516]) ).
tcf(c_99802,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99590,c_95715]) ).
tcf(c_99803,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99802,c_95516]) ).
tcf(c_99811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99592,c_95715]) ).
tcf(c_99812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99811,c_95516]) ).
tcf(c_99822,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_99589,c_95715]) ).
tcf(c_99823,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99822,c_95516]) ).
tcf(c_99984,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_99611,c_109]) ).
tcf(c_99989,plain,
( ( sdtasdt0(xp,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_99611,c_110]) ).
tcf(c_99990,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_99611,c_73]) ).
tcf(c_99991,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_99990,c_103,c_95516]) ).
tcf(c_99992,plain,
( ( sdtasdt0(xp,sK1) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99989,c_103,c_95516]) ).
tcf(c_99995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99984,c_103,c_95516]) ).
tcf(c_99999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95716,c_70]) ).
tcf(c_100002,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95716,c_24035]) ).
tcf(c_100003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95716,c_17825]) ).
tcf(c_100004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95716,c_17392]) ).
tcf(c_100005,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95716,c_14477]) ).
tcf(c_100006,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95716,c_5155]) ).
tcf(c_100011,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95716,c_145]) ).
tcf(c_100013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),X0) ),
inference(superposition,[status(thm)],[c_95716,c_70]) ).
tcf(c_100014,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ( sdtpldt0(sdtasdt0(xp,sK1),X0) != sdtasdt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_95716,c_76]) ).
tcf(c_100015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(sdtasdt0(xp,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95716,c_68]) ).
tcf(c_100016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK1),X0),sdtasdt0(xp,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_95716,c_68]) ).
tcf(c_100018,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,sK1) ) ),
inference(superposition,[status(thm)],[c_95716,c_77]) ).
tcf(c_100019,plain,
sdtlseqdt0(sdtasdt0(xp,sK1),sdtasdt0(xp,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_100011,c_103,c_95516]) ).
tcf(c_100020,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100006,c_103,c_95516]) ).
tcf(c_100023,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100018,c_103,c_95516]) ).
tcf(c_100027,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,sK1),X0) != sdtasdt0(xp,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100014,c_103,c_95516]) ).
tcf(c_100032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(sdtasdt0(xp,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100015,c_103,c_95516]) ).
tcf(c_100037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100013,c_103,c_95516]) ).
tcf(c_100042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99999,c_103,c_95516]) ).
tcf(c_100047,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100005,c_103,c_95516]) ).
tcf(c_100052,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100002,c_103,c_95516]) ).
tcf(c_100058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100004,c_103,c_95516]) ).
tcf(c_100066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100003,c_103,c_95516]) ).
tcf(c_100178,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_100019,c_8700]) ).
tcf(c_100181,plain,
( ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_100019,c_73]) ).
tcf(c_100182,plain,
sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),sdtasdt0(xp,sK1))) = sdtasdt0(xp,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_100181,c_95516]) ).
tcf(c_100188,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_93084,c_109]) ).
tcf(c_100193,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(xp,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_93084,c_110]) ).
tcf(c_100194,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_93084,c_73]) ).
tcf(c_100195,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xm)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_93084,c_61224]) ).
tcf(c_100196,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| sdtlseqdt0(sdtasdt0(sK0,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100195,c_87113]) ).
tcf(c_100199,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100194,c_59,c_87113]) ).
tcf(c_100202,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100193,c_59,c_87113]) ).
tcf(c_100206,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100188,c_59,c_87113]) ).
tcf(c_100215,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_93263,c_109]) ).
tcf(c_100220,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(xm,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_93263,c_110]) ).
tcf(c_100221,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_93263,c_73]) ).
tcf(c_100222,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),sK2(sdtasdt0(xn,xp),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100221,c_50,c_81151]) ).
tcf(c_100225,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100220,c_50,c_81151]) ).
tcf(c_100229,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100215,c_50,c_81151]) ).
tcf(c_100279,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_93290,c_109]) ).
tcf(c_100284,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(xm,sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_93290,c_110]) ).
tcf(c_100285,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_93290,c_73]) ).
tcf(c_100286,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtpldt0(sdtasdt0(xn,xq),sK2(sdtasdt0(xn,xq),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100285,c_50,c_81668]) ).
tcf(c_100289,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ( sdtasdt0(xn,xq) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100284,c_50,c_81668]) ).
tcf(c_100293,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100279,c_50,c_81668]) ).
tcf(c_100302,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_94018,c_109]) ).
tcf(c_100307,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(xp,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_94018,c_110]) ).
tcf(c_100308,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_94018,c_73]) ).
tcf(c_100309,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),xm)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_94018,c_61224]) ).
tcf(c_100310,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| sdtlseqdt0(sdtasdt0(xp,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100309,c_87416]) ).
tcf(c_100313,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100308,c_59,c_87416]) ).
tcf(c_100316,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100307,c_59,c_87416]) ).
tcf(c_100320,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100302,c_59,c_87416]) ).
tcf(c_100325,plain,
( ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(xq,xm))
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_98506,c_8631,c_61221,c_65774,c_98506]) ).
tcf(c_100326,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00) ),
inference(renaming,[status(thm)],[c_100325]) ).
tcf(c_100344,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_70294,c_100326]) ).
tcf(c_100345,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_11984,c_100326]) ).
tcf(c_100347,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108,c_100326]) ).
tcf(c_100348,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100347,c_103]) ).
tcf(c_100357,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100345,c_103]) ).
tcf(c_100368,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(light_normalisation,[status(thm)],[c_100344,c_2464]) ).
tcf(c_100392,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_70294,c_98511]) ).
tcf(c_100393,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_11984,c_98511]) ).
tcf(c_100395,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_108,c_98511]) ).
tcf(c_100396,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100395,c_103]) ).
tcf(c_100406,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100393,c_103]) ).
tcf(c_100418,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(light_normalisation,[status(thm)],[c_100392,c_2464]) ).
tcf(c_100431,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_100047,c_109]) ).
tcf(c_100433,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_100047,c_11962]) ).
tcf(c_100434,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_100047,c_8700]) ).
tcf(c_100435,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_100047,c_3979]) ).
tcf(c_100436,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_100047,c_110]) ).
tcf(c_100437,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_100047,c_73]) ).
tcf(c_100438,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(superposition,[status(thm)],[c_100047,c_5863]) ).
tcf(c_100441,plain,
( sdtlseqdt0(sdtasdt0(xp,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100434,c_95516]) ).
tcf(c_100447,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100431,c_95516]) ).
tcf(c_100454,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100438,c_95516]) ).
tcf(c_100460,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100437,c_95516]) ).
tcf(c_100465,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100436,c_95516]) ).
tcf(c_100473,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_89]) ).
tcf(c_100475,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_27527]) ).
tcf(c_100476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_18982]) ).
tcf(c_100477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_18291]) ).
tcf(c_100478,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_15630]) ).
tcf(c_100480,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_26854,c_91]) ).
tcf(c_100481,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_5229]) ).
tcf(c_100482,plain,
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_90]) ).
tcf(c_100485,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))),X0) ),
inference(superposition,[status(thm)],[c_26854,c_87]) ).
tcf(c_100486,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_85]) ).
tcf(c_100487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_87]) ).
tcf(c_100488,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_26854,c_92]) ).
tcf(c_100489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(superposition,[status(thm)],[c_26854,c_89]) ).
tcf(c_100490,plain,
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100486,c_90540,c_25261]) ).
tcf(c_100495,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100480,c_25266,c_25261]) ).
tcf(c_100500,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100488,c_25261]) ).
tcf(c_100506,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100478,c_2614,c_25261]) ).
tcf(c_100512,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100475,c_2614,c_25261]) ).
tcf(c_100519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))),sz00)
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100489,c_25261]) ).
tcf(c_100526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sz00)
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100487,c_25266,c_25261]) ).
tcf(c_100532,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0))
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100485,c_25266,c_25261]) ).
tcf(c_100538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))))
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100473,c_25261]) ).
tcf(c_100545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100477,c_25266,c_2614,c_25261]) ).
tcf(c_100553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sK1)) = X0 )
| ( sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100476,c_2614,c_25261]) ).
tcf(c_100583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,sK1)),sdtasdt0(xq,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95963,c_70]) ).
tcf(c_100587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95963,c_17825]) ).
tcf(c_100588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95963,c_17392]) ).
tcf(c_100589,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95963,c_14477]) ).
tcf(c_100595,plain,
( sdtlseqdt0(sz00,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95963,c_145]) ).
tcf(c_100597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(X0,sdtasdt0(xq,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95963,c_70]) ).
tcf(c_100598,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_95963,c_76]) ).
tcf(c_100599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),X0) ),
inference(superposition,[status(thm)],[c_95963,c_68]) ).
tcf(c_100600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95963,c_68]) ).
tcf(c_100602,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ( sdtpldt0(X0,sdtasdt0(xq,sK1)) != sdtasdt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_95963,c_77]) ).
tcf(c_100604,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_97431]) ).
tcf(c_100606,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_51524]) ).
tcf(c_100607,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_49956]) ).
tcf(c_100608,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95963,c_47638]) ).
tcf(c_100609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_41879]) ).
tcf(c_100610,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_46832]) ).
tcf(c_100611,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_43963]) ).
tcf(c_100612,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_43470]) ).
tcf(c_100613,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_43085]) ).
tcf(c_100614,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_42039]) ).
tcf(c_100615,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_35146]) ).
tcf(c_100616,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_26041]) ).
tcf(c_100617,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_26044]) ).
tcf(c_100618,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xq,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_95963,c_26052]) ).
tcf(c_100619,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_15930]) ).
tcf(c_100620,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_15792]) ).
tcf(c_100621,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xq,sK1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_24215]) ).
tcf(c_100622,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xq,sK1)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_24215]) ).
tcf(c_100623,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_15931]) ).
tcf(c_100624,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_24885]) ).
tcf(c_100625,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_95963,c_15793]) ).
tcf(c_100626,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xq,sK1) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_95963,c_8652]) ).
tcf(c_100627,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,sK1))) ),
inference(superposition,[status(thm)],[c_95963,c_45030]) ).
tcf(c_100628,plain,
sdtlseqdt0(sz00,sdtasdt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_100595,c_103,c_95855]) ).
tcf(c_100629,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xq,sK1)) != sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100602,c_103,c_95855]) ).
tcf(c_100633,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100598,c_103,c_95855]) ).
tcf(c_100637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(X0,sdtasdt0(xq,sK1)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100597,c_103,c_95855]) ).
tcf(c_100643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100600,c_103,c_95855]) ).
tcf(c_100648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100599,c_103,c_95855]) ).
tcf(c_100653,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100589,c_103,c_95855]) ).
tcf(c_100658,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xq,sK1) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100626,c_95855]) ).
tcf(c_100663,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100625,c_95855]) ).
tcf(c_100669,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100623,c_95855]) ).
tcf(c_100675,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100622,c_95963]) ).
tcf(c_100676,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100675,c_95855]) ).
tcf(c_100684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,sK1)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100587,c_103,c_95855]) ).
tcf(c_100692,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100620,c_95855]) ).
tcf(c_100699,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100619,c_95855]) ).
tcf(c_100706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100588,c_103,c_95855]) ).
tcf(c_100721,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100618,c_95963]) ).
tcf(c_100722,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100721,c_95855]) ).
tcf(c_100728,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100617,c_95963]) ).
tcf(c_100729,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100728,c_95855]) ).
tcf(c_100736,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100615,c_95855]) ).
tcf(c_100744,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100616,c_95963]) ).
tcf(c_100745,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100744,c_95855]) ).
tcf(c_100753,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100610,c_95963]) ).
tcf(c_100754,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100753,c_95855]) ).
tcf(c_100761,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100604,c_95855]) ).
tcf(c_100769,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1)) ),
inference(light_normalisation,[status(thm)],[c_100608,c_95963]) ).
tcf(c_100770,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100769,c_95855]) ).
tcf(c_100777,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100614,c_95963]) ).
tcf(c_100778,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100777,c_95855]) ).
tcf(c_100786,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100613,c_95855]) ).
tcf(c_100794,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100612,c_95855]) ).
tcf(c_100802,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100611,c_95855]) ).
tcf(c_100809,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100627,c_95963]) ).
tcf(c_100810,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100809,c_95855]) ).
tcf(c_100819,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100607,c_95963]) ).
tcf(c_100820,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100819,c_95855]) ).
tcf(c_100828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100609,c_95963]) ).
tcf(c_100829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100828,c_95855]) ).
tcf(c_100839,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_100606,c_95963]) ).
tcf(c_100840,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,sK1) )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100839,c_95855]) ).
tcf(c_100974,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_100628,c_109]) ).
tcf(c_100979,plain,
( ( sdtasdt0(xq,sK1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_100628,c_110]) ).
tcf(c_100980,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_100628,c_73]) ).
tcf(c_100981,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_100980,c_103,c_95855]) ).
tcf(c_100982,plain,
( ( sdtasdt0(xq,sK1) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100979,c_103,c_95855]) ).
tcf(c_100985,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100974,c_103,c_95855]) ).
tcf(c_101030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95964,c_70]) ).
tcf(c_101033,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95964,c_24035]) ).
tcf(c_101034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95964,c_17825]) ).
tcf(c_101035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95964,c_17392]) ).
tcf(c_101036,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_95964,c_14477]) ).
tcf(c_101037,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95964,c_5155]) ).
tcf(c_101042,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95964,c_145]) ).
tcf(c_101044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),X0) ),
inference(superposition,[status(thm)],[c_95964,c_70]) ).
tcf(c_101045,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ( sdtpldt0(sdtasdt0(xq,sK1),X0) != sdtasdt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_95964,c_76]) ).
tcf(c_101046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(sdtasdt0(xq,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95964,c_68]) ).
tcf(c_101047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,sK1),X0),sdtasdt0(xq,sK1))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_95964,c_68]) ).
tcf(c_101049,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,sK1) ) ),
inference(superposition,[status(thm)],[c_95964,c_77]) ).
tcf(c_101050,plain,
sdtlseqdt0(sdtasdt0(xq,sK1),sdtasdt0(xq,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_101042,c_103,c_95855]) ).
tcf(c_101051,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101037,c_103,c_95855]) ).
tcf(c_101054,plain,
! [X0: $i] :
( ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101049,c_103,c_95855]) ).
tcf(c_101058,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xq,sK1),X0) != sdtasdt0(xq,sK1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101045,c_103,c_95855]) ).
tcf(c_101063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(sdtasdt0(xq,sK1),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101046,c_103,c_95855]) ).
tcf(c_101068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,sK1),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101044,c_103,c_95855]) ).
tcf(c_101073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101030,c_103,c_95855]) ).
tcf(c_101078,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101036,c_103,c_95855]) ).
tcf(c_101083,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101033,c_103,c_95855]) ).
tcf(c_101089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,sK1),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101035,c_103,c_95855]) ).
tcf(c_101097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101034,c_103,c_95855]) ).
tcf(c_101120,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_101050,c_8700]) ).
tcf(c_101123,plain,
( ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1) )
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101050,c_73]) ).
tcf(c_101124,plain,
sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),sdtasdt0(xq,sK1))) = sdtasdt0(xq,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_101123,c_95855]) ).
tcf(c_101130,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94476,c_109]) ).
tcf(c_101135,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(xp,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94476,c_110]) ).
tcf(c_101136,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94476,c_73]) ).
tcf(c_101137,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),xm)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_94476,c_61224]) ).
tcf(c_101138,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| sdtlseqdt0(sdtasdt0(xq,sK0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101137,c_88525]) ).
tcf(c_101141,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101136,c_59,c_88525]) ).
tcf(c_101144,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101135,c_59,c_88525]) ).
tcf(c_101148,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101130,c_59,c_88525]) ).
tcf(c_101157,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_100020,c_109]) ).
tcf(c_101162,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(xp,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_100020,c_110]) ).
tcf(c_101163,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_100020,c_73]) ).
tcf(c_101164,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),xm)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_100020,c_61224]) ).
tcf(c_101165,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| sdtlseqdt0(sdtasdt0(xp,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101164,c_95516]) ).
tcf(c_101168,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101163,c_59,c_95516]) ).
tcf(c_101171,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101162,c_59,c_95516]) ).
tcf(c_101175,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101157,c_59,c_95516]) ).
tcf(c_101192,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_100196,c_109]) ).
tcf(c_101197,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1))
| ~ sdtlseqdt0(xm,sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_100196,c_110]) ).
tcf(c_101198,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_100196,c_73]) ).
tcf(c_101199,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtpldt0(sdtasdt0(sK0,sK1),sK2(sdtasdt0(sK0,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101198,c_50,c_87113]) ).
tcf(c_101202,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ( sdtasdt0(sK0,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101197,c_50,c_87113]) ).
tcf(c_101206,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(sK0,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101192,c_50,c_87113]) ).
tcf(c_101392,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_100310,c_109]) ).
tcf(c_101397,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0))
| ~ sdtlseqdt0(xm,sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_100310,c_110]) ).
tcf(c_101398,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_100310,c_73]) ).
tcf(c_101399,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtpldt0(sdtasdt0(xp,sK0),sK2(sdtasdt0(xp,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101398,c_50,c_87416]) ).
tcf(c_101402,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ( sdtasdt0(xp,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101397,c_50,c_87416]) ).
tcf(c_101406,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xp,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101392,c_50,c_87416]) ).
tcf(c_101421,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101078,c_109]) ).
tcf(c_101423,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_101078,c_11962]) ).
tcf(c_101424,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_101078,c_8700]) ).
tcf(c_101425,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_101078,c_3979]) ).
tcf(c_101426,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101078,c_110]) ).
tcf(c_101427,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_101078,c_73]) ).
tcf(c_101428,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(superposition,[status(thm)],[c_101078,c_5863]) ).
tcf(c_101431,plain,
( sdtlseqdt0(sdtasdt0(xq,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101424,c_95855]) ).
tcf(c_101437,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101421,c_95855]) ).
tcf(c_101444,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101428,c_95855]) ).
tcf(c_101450,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101427,c_95855]) ).
tcf(c_101455,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK1),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101426,c_95855]) ).
tcf(c_101574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_70]) ).
tcf(c_101575,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_75560]) ).
tcf(c_101576,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_75392]) ).
tcf(c_101577,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26872,c_24035]) ).
tcf(c_101578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26872,c_17825]) ).
tcf(c_101579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26872,c_17392]) ).
tcf(c_101580,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26872,c_14477]) ).
tcf(c_101581,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_5155]) ).
tcf(c_101584,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26872,c_75]) ).
tcf(c_101586,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_145]) ).
tcf(c_101587,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_84]) ).
tcf(c_101588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtpldt0(X0,xm))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_26872,c_70]) ).
tcf(c_101589,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtpldt0(xm,sdtasdt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_26872,c_76]) ).
tcf(c_101590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_68]) ).
tcf(c_101591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtpldt0(xm,sdtasdt0(xl,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_68]) ).
tcf(c_101592,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(X0,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26872,c_98]) ).
tcf(c_101593,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26872,c_77]) ).
tcf(c_101594,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_101587,c_50,c_2518]) ).
tcf(c_101595,plain,
sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_101586,c_50,c_2518]) ).
tcf(c_101596,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101581,c_50,c_2518]) ).
tcf(c_101599,plain,
sdtpldt0(xm,sdtasdt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_101584,c_11841,c_50,c_2518]) ).
tcf(c_101600,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101593,c_50,c_2518]) ).
tcf(c_101604,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101592,c_50,c_2518]) ).
tcf(c_101609,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xl,xq),X0) != sdtpldt0(xm,sdtasdt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101589,c_50,c_2518]) ).
tcf(c_101613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sdtpldt0(xm,sdtasdt0(xl,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101591,c_50,c_2518]) ).
tcf(c_101618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtpldt0(sdtasdt0(xl,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101590,c_50,c_2518]) ).
tcf(c_101623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtpldt0(X0,xm))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101588,c_50,c_2518]) ).
tcf(c_101628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101574,c_50,c_2518]) ).
tcf(c_101633,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101576,c_50,c_2518]) ).
tcf(c_101638,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101580,c_50,c_2518]) ).
tcf(c_101643,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101577,c_50,c_2518]) ).
tcf(c_101649,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101575,c_50,c_2518]) ).
tcf(c_101655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101579,c_50,c_2518]) ).
tcf(c_101663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101578,c_50,c_2518]) ).
tcf(c_101678,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2779]) ).
tcf(c_101679,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2778]) ).
tcf(c_101680,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2777]) ).
tcf(c_101681,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK2(sdtpldt0(xm,sdtasdt0(xl,xq)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_101594,c_13871]) ).
tcf(c_101682,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2776]) ).
tcf(c_101683,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2775]) ).
tcf(c_101684,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2709]) ).
tcf(c_101685,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2705]) ).
tcf(c_101686,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2704]) ).
tcf(c_101687,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2703]) ).
tcf(c_101688,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2702]) ).
tcf(c_101689,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2701]) ).
tcf(c_101690,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2700]) ).
tcf(c_101691,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2699]) ).
tcf(c_101692,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(xl,xq))),sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101594,c_79]) ).
tcf(c_101693,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X1),sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101594,c_78]) ).
tcf(c_101694,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101594,c_95]) ).
tcf(c_101695,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101594,c_82]) ).
tcf(c_101696,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0),sdtpldt0(xm,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101594,c_152]) ).
tcf(c_101697,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101594,c_96]) ).
tcf(c_101698,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101594,c_83]) ).
tcf(c_101699,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_101594,c_94]) ).
tcf(c_101700,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_101594,c_93]) ).
tcf(c_101701,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq))) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_101594,c_81]) ).
tcf(c_101702,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_101594,c_80]) ).
tcf(c_101731,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101595,c_109]) ).
tcf(c_101732,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101595,c_12741]) ).
tcf(c_101734,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_101595,c_8700]) ).
tcf(c_101736,plain,
( ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_101595,c_110]) ).
tcf(c_101737,plain,
( ( sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101595,c_73]) ).
tcf(c_101738,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101731,c_2518,c_101594]) ).
tcf(c_101742,plain,
sdtpldt0(sdtasdt0(xl,xq),sK2(sdtasdt0(xl,xq),sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_101737,c_2518,c_101594]) ).
tcf(c_101743,plain,
( ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sdtasdt0(xl,xq) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtasdt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101736,c_2518,c_101594]) ).
tcf(c_101747,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101732,c_2518,c_101594]) ).
tcf(c_101906,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101699,c_89]) ).
tcf(c_101909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101699,c_18982]) ).
tcf(c_101911,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101699,c_15630]) ).
tcf(c_101921,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_101699,c_92]) ).
tcf(c_101922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101699,c_89]) ).
tcf(c_101923,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101921,c_101599,c_103,c_101594]) ).
tcf(c_101929,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101906,c_101599,c_103,c_101594]) ).
tcf(c_101934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101909,c_101599,c_103,c_2614,c_101594]) ).
tcf(c_101945,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101051,c_109]) ).
tcf(c_101950,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(xp,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101051,c_110]) ).
tcf(c_101951,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101051,c_73]) ).
tcf(c_101952,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),xm)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101051,c_61224]) ).
tcf(c_101953,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| sdtlseqdt0(sdtasdt0(xq,sK1),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101952,c_95855]) ).
tcf(c_101956,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101951,c_59,c_95855]) ).
tcf(c_101959,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101950,c_59,c_95855]) ).
tcf(c_101963,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101945,c_59,c_95855]) ).
tcf(c_101972,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_101138,c_109]) ).
tcf(c_101977,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0))
| ~ sdtlseqdt0(xm,sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_101138,c_110]) ).
tcf(c_101978,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_101138,c_73]) ).
tcf(c_101979,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtpldt0(sdtasdt0(xq,sK0),sK2(sdtasdt0(xq,sK0),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101978,c_50,c_88525]) ).
tcf(c_101982,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sdtasdt0(xq,sK0) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101977,c_50,c_88525]) ).
tcf(c_101986,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101972,c_50,c_88525]) ).
tcf(c_101995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_101165,c_109]) ).
tcf(c_102000,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1))
| ~ sdtlseqdt0(xm,sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_101165,c_110]) ).
tcf(c_102001,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,sK1)) ),
inference(superposition,[status(thm)],[c_101165,c_73]) ).
tcf(c_102002,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtpldt0(sdtasdt0(xp,sK1),sK2(sdtasdt0(xp,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102001,c_50,c_95516]) ).
tcf(c_102005,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ( sdtasdt0(xp,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102000,c_50,c_95516]) ).
tcf(c_102009,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xp,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101995,c_50,c_95516]) ).
tcf(c_102018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101700,c_18291]) ).
tcf(c_102021,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_101700,c_91]) ).
tcf(c_102024,plain,
( doDivides0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101700,c_142]) ).
tcf(c_102026,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101700,c_87]) ).
tcf(c_102028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101700,c_87]) ).
tcf(c_102031,plain,
doDivides0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_102024,c_103,c_101594]) ).
tcf(c_102032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102021,c_101599,c_103,c_101594]) ).
tcf(c_102037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102026,c_101599,c_103,c_101594]) ).
tcf(c_102042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102018,c_101599,c_103,c_2614,c_101594]) ).
tcf(c_102058,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_70294,c_101638]) ).
tcf(c_102059,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11984,c_101638]) ).
tcf(c_102061,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108,c_101638]) ).
tcf(c_102064,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_102058,c_2464]) ).
tcf(c_102084,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(X0,X1)),sK2(sdtpldt0(xq,sdtpldt0(X0,X1)),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_27869]) ).
tcf(c_102085,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(X0,X1))) = sK2(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sK2(X0,X1)),sK2(sdtpldt0(xq,sK2(X0,X1)),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_27869]) ).
tcf(c_102086,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sdtasdt0(X0,X1)),sK2(sdtpldt0(xq,sdtasdt0(X0,X1)),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_27869]) ).
tcf(c_102087,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK3(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK3(X0,X1))) = sK3(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sK3(X0,X1)),sK2(sdtpldt0(xq,sK3(X0,X1)),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_27869]) ).
tcf(c_102089,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(X1,X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ( sdtpldt0(sdtpldt0(xq,sdtsldt0(X1,X0)),sK2(sdtpldt0(xq,sdtsldt0(X1,X0)),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_27869]) ).
tcf(c_102107,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_27911,c_27869]) ).
tcf(c_102110,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_30205,c_27869]) ).
tcf(c_102118,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_54334,c_27869]) ).
tcf(c_102121,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_60396,c_27869]) ).
tcf(c_102124,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_68298,c_27869]) ).
tcf(c_102130,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_78286,c_27869]) ).
tcf(c_102137,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_88945,c_27869]) ).
tcf(c_102139,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_101594,c_27869]) ).
tcf(c_102212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_11988,c_97,c_11988]) ).
tcf(c_102390,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_102212,c_109]) ).
tcf(c_102394,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_102212,c_3979]) ).
tcf(c_102395,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_102212,c_110]) ).
tcf(c_102396,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_102212,c_73]) ).
tcf(c_102397,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_102212,c_3965]) ).
tcf(c_102402,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_102212,c_5863]) ).
tcf(c_102403,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),X1))
| ( X1 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_102212,c_45702]) ).
tcf(c_102404,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_102212,c_26045]) ).
tcf(c_102405,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102212,c_8679]) ).
tcf(c_102406,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_102212,c_20184]) ).
tcf(c_102407,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102212,c_109]) ).
tcf(c_102408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102212,c_12741]) ).
tcf(c_102410,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_102212,c_8700]) ).
tcf(c_102412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_102212,c_110]) ).
tcf(c_102413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102212,c_73]) ).
tcf(c_102430,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102397,c_59]) ).
tcf(c_102464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102412,c_103]) ).
tcf(c_102474,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102407,c_103]) ).
tcf(c_102548,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_102405,c_8631,c_102405]) ).
tcf(c_102564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_109]) ).
tcf(c_102565,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_12741]) ).
tcf(c_102566,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_11962]) ).
tcf(c_102568,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_3979]) ).
tcf(c_102569,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_102548,c_110]) ).
tcf(c_102570,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_73]) ).
tcf(c_102571,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_12745]) ).
tcf(c_102572,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_12182]) ).
tcf(c_102573,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_102548,c_8702]) ).
tcf(c_102574,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_5910]) ).
tcf(c_102575,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_47638]) ).
tcf(c_102577,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X1,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_102548,c_109]) ).
tcf(c_102578,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_102548,c_12741]) ).
tcf(c_102579,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_102548,c_11962]) ).
tcf(c_102580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_102548,c_8700]) ).
tcf(c_102582,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_102548,c_110]) ).
tcf(c_102583,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_102548,c_73]) ).
tcf(c_102614,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X1,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102577,c_103]) ).
tcf(c_102667,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102583,c_103]) ).
tcf(c_102676,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102582,c_103]) ).
tcf(c_102686,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102580,c_103]) ).
tcf(c_102736,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_102578,c_103]) ).
tcf(c_103030,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_102573,c_8631,c_102404]) ).
tcf(c_103031,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_103030]) ).
tcf(c_103048,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103031,c_109]) ).
tcf(c_103049,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103031,c_12741]) ).
tcf(c_103050,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103031,c_11962]) ).
tcf(c_103051,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_103031,c_8700]) ).
tcf(c_103053,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_103031,c_110]) ).
tcf(c_103054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103031,c_73]) ).
tcf(c_103055,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103048,c_103]) ).
tcf(c_103068,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103054,c_103]) ).
tcf(c_103078,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103053,c_103]) ).
tcf(c_103089,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103051,c_103]) ).
tcf(c_103101,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103049,c_103]) ).
tcf(c_103115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_70]) ).
tcf(c_103116,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_75560]) ).
tcf(c_103117,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_75392]) ).
tcf(c_103118,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_26873,c_24035]) ).
tcf(c_103119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_26873,c_17825]) ).
tcf(c_103120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_26873,c_17392]) ).
tcf(c_103121,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_26873,c_14477]) ).
tcf(c_103122,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_5155]) ).
tcf(c_103125,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26873,c_75]) ).
tcf(c_103127,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_145]) ).
tcf(c_103128,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_84]) ).
tcf(c_103129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(superposition,[status(thm)],[c_26873,c_70]) ).
tcf(c_103130,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26873,c_76]) ).
tcf(c_103131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_68]) ).
tcf(c_103132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_68]) ).
tcf(c_103133,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_26873,c_98]) ).
tcf(c_103134,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26873,c_77]) ).
tcf(c_103135,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_103128,c_50,c_14661]) ).
tcf(c_103136,plain,
sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_103127,c_50,c_14661]) ).
tcf(c_103137,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103122,c_50,c_14661]) ).
tcf(c_103140,plain,
sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_103125,c_11841,c_50,c_14661]) ).
tcf(c_103141,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103134,c_50,c_14661]) ).
tcf(c_103145,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103133,c_50,c_14661]) ).
tcf(c_103150,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xm,sdtpldt0(xl,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103130,c_50,c_14661]) ).
tcf(c_103154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103132,c_50,c_14661]) ).
tcf(c_103159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(sdtpldt0(xl,xm),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103131,c_50,c_14661]) ).
tcf(c_103164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103129,c_50,c_14661]) ).
tcf(c_103169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103115,c_50,c_14661]) ).
tcf(c_103174,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103117,c_50,c_14661]) ).
tcf(c_103179,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103121,c_50,c_14661]) ).
tcf(c_103184,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103118,c_50,c_14661]) ).
tcf(c_103190,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103116,c_50,c_14661]) ).
tcf(c_103196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103120,c_50,c_14661]) ).
tcf(c_103204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103119,c_50,c_14661]) ).
tcf(c_103261,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_103135,c_27869]) ).
tcf(c_103262,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2779]) ).
tcf(c_103263,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2778]) ).
tcf(c_103264,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2777]) ).
tcf(c_103265,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK2(sdtpldt0(xm,sdtpldt0(xl,xm)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_103135,c_13871]) ).
tcf(c_103266,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2776]) ).
tcf(c_103267,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2775]) ).
tcf(c_103268,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2709]) ).
tcf(c_103269,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2705]) ).
tcf(c_103270,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2704]) ).
tcf(c_103271,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2703]) ).
tcf(c_103272,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2702]) ).
tcf(c_103273,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2701]) ).
tcf(c_103274,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2700]) ).
tcf(c_103275,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2699]) ).
tcf(c_103276,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xm))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103135,c_79]) ).
tcf(c_103277,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103135,c_78]) ).
tcf(c_103278,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103135,c_95]) ).
tcf(c_103279,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103135,c_82]) ).
tcf(c_103280,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103135,c_152]) ).
tcf(c_103281,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103135,c_96]) ).
tcf(c_103282,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103135,c_83]) ).
tcf(c_103283,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_103135,c_94]) ).
tcf(c_103284,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_103135,c_93]) ).
tcf(c_103285,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_103135,c_81]) ).
tcf(c_103286,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_103135,c_80]) ).
tcf(c_103400,plain,
( ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_102031,c_106]) ).
tcf(c_103401,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_102031,c_99]) ).
tcf(c_103402,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK3(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_102031,c_102]) ).
tcf(c_103403,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtasdt0(xl,xq)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103401,c_103,c_101594]) ).
tcf(c_103407,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK3(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_103402,c_103,c_101594]) ).
tcf(c_103408,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_103400,c_101599,c_103,c_101594]) ).
tcf(c_103409,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103136,c_109]) ).
tcf(c_103410,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103136,c_12741]) ).
tcf(c_103412,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_103136,c_8700]) ).
tcf(c_103414,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_103136,c_110]) ).
tcf(c_103415,plain,
( ( sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103136,c_73]) ).
tcf(c_103416,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103409,c_14661,c_103135]) ).
tcf(c_103420,plain,
sdtpldt0(sdtpldt0(xl,xm),sK2(sdtpldt0(xl,xm),sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_103415,c_14661,c_103135]) ).
tcf(c_103421,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103414,c_14661,c_103135]) ).
tcf(c_103425,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103410,c_14661,c_103135]) ).
tcf(c_103515,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101953,c_109]) ).
tcf(c_103520,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1))
| ~ sdtlseqdt0(xm,sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101953,c_110]) ).
tcf(c_103521,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,sK1)) ),
inference(superposition,[status(thm)],[c_101953,c_73]) ).
tcf(c_103522,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtpldt0(sdtasdt0(xq,sK1),sK2(sdtasdt0(xq,sK1),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103521,c_50,c_95855]) ).
tcf(c_103525,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ( sdtasdt0(xq,sK1) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103520,c_50,c_95855]) ).
tcf(c_103529,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xq,sK1))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103515,c_50,c_95855]) ).
tcf(c_103534,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103283,c_89]) ).
tcf(c_103538,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103283,c_18982]) ).
tcf(c_103540,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103283,c_15630]) ).
tcf(c_103550,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_103283,c_92]) ).
tcf(c_103551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103283,c_89]) ).
tcf(c_103552,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103550,c_103140,c_103,c_103135]) ).
tcf(c_103558,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103534,c_103140,c_103,c_103135]) ).
tcf(c_103563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103538,c_103140,c_103,c_2614,c_103135]) ).
tcf(c_103575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103284,c_18291]) ).
tcf(c_103578,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_103284,c_91]) ).
tcf(c_103581,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103284,c_142]) ).
tcf(c_103583,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103284,c_87]) ).
tcf(c_103585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103284,c_87]) ).
tcf(c_103588,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_103581,c_103,c_103135]) ).
tcf(c_103589,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103578,c_103140,c_103,c_103135]) ).
tcf(c_103594,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103583,c_103140,c_103,c_103135]) ).
tcf(c_103599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103575,c_103140,c_103,c_2614,c_103135]) ).
tcf(c_103606,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103588,c_106]) ).
tcf(c_103607,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103588,c_99]) ).
tcf(c_103608,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK3(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103588,c_102]) ).
tcf(c_103609,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103607,c_103,c_103135]) ).
tcf(c_103613,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK3(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_103608,c_103,c_103135]) ).
tcf(c_103614,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_103606,c_103140,c_103,c_103135]) ).
tcf(c_103615,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_102406,c_8631,c_102406]) ).
tcf(c_103616,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_103615]) ).
tcf(c_103635,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103616,c_109]) ).
tcf(c_103636,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103616,c_12741]) ).
tcf(c_103637,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103616,c_11962]) ).
tcf(c_103638,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_103616,c_8700]) ).
tcf(c_103640,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_103616,c_110]) ).
tcf(c_103641,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103616,c_73]) ).
tcf(c_103642,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103635,c_103]) ).
tcf(c_103656,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103641,c_103]) ).
tcf(c_103667,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103640,c_103]) ).
tcf(c_103679,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103638,c_103]) ).
tcf(c_103692,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))) = sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103636,c_103]) ).
tcf(c_103718,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_70294,c_103179]) ).
tcf(c_103719,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_11984,c_103179]) ).
tcf(c_103721,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_108,c_103179]) ).
tcf(c_103724,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_103718,c_2464]) ).
tcf(c_103751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_70]) ).
tcf(c_103752,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_75560]) ).
tcf(c_103753,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_75392]) ).
tcf(c_103754,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_26874,c_24035]) ).
tcf(c_103755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_26874,c_17825]) ).
tcf(c_103756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_26874,c_17392]) ).
tcf(c_103757,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_26874,c_14477]) ).
tcf(c_103758,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_5155]) ).
tcf(c_103761,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26874,c_75]) ).
tcf(c_103763,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_145]) ).
tcf(c_103764,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_84]) ).
tcf(c_103765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(superposition,[status(thm)],[c_26874,c_70]) ).
tcf(c_103766,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_26874,c_76]) ).
tcf(c_103767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_68]) ).
tcf(c_103768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_68]) ).
tcf(c_103769,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_26874,c_98]) ).
tcf(c_103770,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26874,c_77]) ).
tcf(c_103771,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_103764,c_50,c_14856]) ).
tcf(c_103772,plain,
sdtlseqdt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_103763,c_50,c_14856]) ).
tcf(c_103773,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103758,c_50,c_14856]) ).
tcf(c_103776,plain,
sdtpldt0(xm,sdtpldt0(xl,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_103761,c_11841,c_50,c_14856]) ).
tcf(c_103777,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103770,c_50,c_14856]) ).
tcf(c_103781,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103769,c_50,c_14856]) ).
tcf(c_103786,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xm,sdtpldt0(xl,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103766,c_50,c_14856]) ).
tcf(c_103790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103768,c_50,c_14856]) ).
tcf(c_103795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(sdtpldt0(xl,xn),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103767,c_50,c_14856]) ).
tcf(c_103800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103765,c_50,c_14856]) ).
tcf(c_103805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103751,c_50,c_14856]) ).
tcf(c_103810,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103753,c_50,c_14856]) ).
tcf(c_103815,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103757,c_50,c_14856]) ).
tcf(c_103820,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103754,c_50,c_14856]) ).
tcf(c_103826,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103752,c_50,c_14856]) ).
tcf(c_103832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103756,c_50,c_14856]) ).
tcf(c_103840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103755,c_50,c_14856]) ).
tcf(c_103908,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_103771,c_27869]) ).
tcf(c_103909,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2779]) ).
tcf(c_103910,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2778]) ).
tcf(c_103911,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2777]) ).
tcf(c_103912,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK2(sdtpldt0(xm,sdtpldt0(xl,xn)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_103771,c_13871]) ).
tcf(c_103913,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2776]) ).
tcf(c_103914,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2775]) ).
tcf(c_103915,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2709]) ).
tcf(c_103916,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2705]) ).
tcf(c_103917,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2704]) ).
tcf(c_103918,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2703]) ).
tcf(c_103919,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2702]) ).
tcf(c_103920,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2701]) ).
tcf(c_103921,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2700]) ).
tcf(c_103922,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2699]) ).
tcf(c_103923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xn))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103771,c_79]) ).
tcf(c_103924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103771,c_78]) ).
tcf(c_103925,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103771,c_95]) ).
tcf(c_103926,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103771,c_82]) ).
tcf(c_103927,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103771,c_152]) ).
tcf(c_103928,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103771,c_96]) ).
tcf(c_103929,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103771,c_83]) ).
tcf(c_103930,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_103771,c_94]) ).
tcf(c_103931,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_103771,c_93]) ).
tcf(c_103932,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_103771,c_81]) ).
tcf(c_103933,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_103771,c_80]) ).
tcf(c_104101,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103772,c_109]) ).
tcf(c_104102,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103772,c_12741]) ).
tcf(c_104104,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_103772,c_8700]) ).
tcf(c_104106,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_103772,c_110]) ).
tcf(c_104107,plain,
( ( sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103772,c_73]) ).
tcf(c_104108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104101,c_14856,c_103771]) ).
tcf(c_104112,plain,
sdtpldt0(sdtpldt0(xl,xn),sK2(sdtpldt0(xl,xn),sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_104107,c_14856,c_103771]) ).
tcf(c_104113,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104106,c_14856,c_103771]) ).
tcf(c_104117,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104102,c_14856,c_103771]) ).
tcf(c_104180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103930,c_89]) ).
tcf(c_104184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103930,c_18982]) ).
tcf(c_104186,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103930,c_15630]) ).
tcf(c_104196,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_103930,c_92]) ).
tcf(c_104197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103930,c_89]) ).
tcf(c_104198,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104196,c_103776,c_103,c_103771]) ).
tcf(c_104204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104180,c_103776,c_103,c_103771]) ).
tcf(c_104209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104184,c_103776,c_103,c_2614,c_103771]) ).
tcf(c_104221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103931,c_18291]) ).
tcf(c_104224,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_103931,c_91]) ).
tcf(c_104227,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103931,c_142]) ).
tcf(c_104229,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103931,c_87]) ).
tcf(c_104231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103931,c_87]) ).
tcf(c_104234,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_104227,c_103,c_103771]) ).
tcf(c_104235,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104224,c_103776,c_103,c_103771]) ).
tcf(c_104240,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104229,c_103776,c_103,c_103771]) ).
tcf(c_104245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104221,c_103776,c_103,c_2614,c_103771]) ).
tcf(c_104252,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_104234,c_106]) ).
tcf(c_104253,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_104234,c_99]) ).
tcf(c_104254,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK3(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_104234,c_102]) ).
tcf(c_104255,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104253,c_103,c_103771]) ).
tcf(c_104259,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK3(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_104254,c_103,c_103771]) ).
tcf(c_104260,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_104252,c_103776,c_103,c_103771]) ).
tcf(c_104271,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(superposition,[status(thm)],[c_62,c_2780]) ).
tcf(c_104272,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2780]) ).
tcf(c_104273,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),xp) = sdtasdt0(xp,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2780]) ).
tcf(c_104274,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2780]) ).
tcf(c_104275,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),xp) = sdtasdt0(xp,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2780]) ).
tcf(c_104276,plain,
sdtasdt0(sz00,xp) = sdtasdt0(xp,sz00),
inference(superposition,[status(thm)],[c_103,c_2780]) ).
tcf(c_104277,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_105,c_2780]) ).
tcf(c_104278,plain,
sdtasdt0(sdtasdt0(xl,xq),xp) = sdtasdt0(xp,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2780]) ).
tcf(c_104279,plain,
sdtasdt0(sdtpldt0(xp,xq),xp) = sdtasdt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2780]) ).
tcf(c_104280,plain,
sdtasdt0(sdtasdt0(xp,sK0),xp) = sdtasdt0(xp,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2780]) ).
tcf(c_104281,plain,
sdtasdt0(sdtasdt0(xp,sK1),xp) = sdtasdt0(xp,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2780]) ).
tcf(c_104282,plain,
sdtasdt0(sdtpldt0(xl,xm),xp) = sdtasdt0(xp,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2780]) ).
tcf(c_104283,plain,
sdtasdt0(sdtpldt0(xl,xn),xp) = sdtasdt0(xp,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2780]) ).
tcf(c_104284,plain,
sdtasdt0(sdtpldt0(xl,sK0),xp) = sdtasdt0(xp,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2780]) ).
tcf(c_104285,plain,
sdtasdt0(sdtpldt0(xl,sK1),xp) = sdtasdt0(xp,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2780]) ).
tcf(c_104286,plain,
sdtasdt0(sdtpldt0(xl,xp),xp) = sdtasdt0(xp,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2780]) ).
tcf(c_104287,plain,
sdtasdt0(sdtpldt0(xl,xq),xp) = sdtasdt0(xp,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2780]) ).
tcf(c_104288,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2780]) ).
tcf(c_104289,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2780]) ).
tcf(c_104290,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2780]) ).
tcf(c_104291,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2780]) ).
tcf(c_104292,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2780]) ).
tcf(c_104293,plain,
sdtasdt0(sdtpldt0(xm,sK0),xp) = sdtasdt0(xp,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2780]) ).
tcf(c_104294,plain,
sdtasdt0(sdtpldt0(xm,sK1),xp) = sdtasdt0(xp,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2780]) ).
tcf(c_104295,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2780]) ).
tcf(c_104296,plain,
sdtasdt0(sdtpldt0(xm,xp),xp) = sdtasdt0(xp,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2780]) ).
tcf(c_104297,plain,
sdtasdt0(sdtpldt0(xm,xq),xp) = sdtasdt0(xp,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2780]) ).
tcf(c_104298,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2780]) ).
tcf(c_104299,plain,
sdtasdt0(sdtpldt0(xn,sK0),xp) = sdtasdt0(xp,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2780]) ).
tcf(c_104300,plain,
sdtasdt0(sdtpldt0(xn,sK1),xp) = sdtasdt0(xp,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2780]) ).
tcf(c_104301,plain,
sdtasdt0(sdtpldt0(xn,xp),xp) = sdtasdt0(xp,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2780]) ).
tcf(c_104302,plain,
sdtasdt0(sdtpldt0(xn,xq),xp) = sdtasdt0(xp,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2780]) ).
tcf(c_104303,plain,
sdtasdt0(sdtpldt0(sK0,sK1),xp) = sdtasdt0(xp,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2780]) ).
tcf(c_104304,plain,
sdtasdt0(sdtpldt0(xp,sK0),xp) = sdtasdt0(xp,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2780]) ).
tcf(c_104305,plain,
sdtasdt0(sdtpldt0(xq,sK0),xp) = sdtasdt0(xp,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2780]) ).
tcf(c_104306,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2780]) ).
tcf(c_104307,plain,
sdtasdt0(sdtpldt0(xp,sK1),xp) = sdtasdt0(xp,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2780]) ).
tcf(c_104308,plain,
sdtasdt0(sdtpldt0(xq,sK1),xp) = sdtasdt0(xp,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2780]) ).
tcf(c_104309,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2780]) ).
tcf(c_104310,plain,
sdtasdt0(sdtasdt0(xl,xm),xp) = sdtasdt0(xp,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2780]) ).
tcf(c_104311,plain,
sdtasdt0(sdtasdt0(xl,xn),xp) = sdtasdt0(xp,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2780]) ).
tcf(c_104312,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2780]) ).
tcf(c_104313,plain,
sdtasdt0(sdtasdt0(xm,xn),xp) = sdtasdt0(xp,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2780]) ).
tcf(c_104314,plain,
sdtasdt0(sdtasdt0(xm,sK0),xp) = sdtasdt0(xp,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2780]) ).
tcf(c_104315,plain,
sdtasdt0(sdtasdt0(xm,sK1),xp) = sdtasdt0(xp,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2780]) ).
tcf(c_104316,plain,
sdtasdt0(sdtasdt0(xm,xp),xp) = sdtasdt0(xp,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2780]) ).
tcf(c_104317,plain,
sdtasdt0(sdtasdt0(xm,xq),xp) = sdtasdt0(xp,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2780]) ).
tcf(c_104318,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2780]) ).
tcf(c_104319,plain,
sdtasdt0(sdtasdt0(xn,sK0),xp) = sdtasdt0(xp,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2780]) ).
tcf(c_104320,plain,
sdtasdt0(sdtasdt0(xn,sK1),xp) = sdtasdt0(xp,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2780]) ).
tcf(c_104321,plain,
sdtasdt0(sdtasdt0(xn,xp),xp) = sdtasdt0(xp,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2780]) ).
tcf(c_104322,plain,
sdtasdt0(sdtasdt0(xn,xq),xp) = sdtasdt0(xp,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2780]) ).
tcf(c_104323,plain,
sdtasdt0(sdtasdt0(sK0,sK1),xp) = sdtasdt0(xp,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2780]) ).
tcf(c_104324,plain,
sdtasdt0(sdtasdt0(xq,sK0),xp) = sdtasdt0(xp,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2780]) ).
tcf(c_104325,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2780]) ).
tcf(c_104326,plain,
sdtasdt0(sdtasdt0(xq,sK1),xp) = sdtasdt0(xp,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2780]) ).
tcf(c_104327,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2780]) ).
tcf(c_104328,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2780]) ).
tcf(c_104329,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2780]) ).
tcf(c_104464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_104271,c_89]) ).
tcf(c_104466,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_104271,c_102212]) ).
tcf(c_104468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_104271,c_18982]) ).
tcf(c_104469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_104271,c_18291]) ).
tcf(c_104470,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_104271,c_15630]) ).
tcf(c_104472,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_104271,c_91]) ).
tcf(c_104474,plain,
( ( sz00 = xq )
| ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_104271,c_90]) ).
tcf(c_104475,plain,
( doDivides0(xq,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_104271,c_142]) ).
tcf(c_104476,plain,
( aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_104271,c_97]) ).
tcf(c_104477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_104271,c_87]) ).
tcf(c_104478,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ( sz00 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_104271,c_85]) ).
tcf(c_104479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xp,xq))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_104271,c_87]) ).
tcf(c_104480,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_104271,c_92]) ).
tcf(c_104481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xq))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_104271,c_89]) ).
tcf(c_104482,plain,
aNaturalNumber0(sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_104476,c_62,c_59]) ).
tcf(c_104483,plain,
doDivides0(xq,sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_104475,c_62,c_59]) ).
tcf(c_104484,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104478,c_62,c_59]) ).
tcf(c_104487,plain,
( ( sz00 = xq )
| ( sz00 = xp )
| ( sdtasdt0(xp,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104474,c_62,c_59]) ).
tcf(c_104491,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104480,c_62,c_59]) ).
tcf(c_104496,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104472,c_62,c_59]) ).
tcf(c_104501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xq))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104481,c_62,c_59]) ).
tcf(c_104507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sdtasdt0(xp,xq))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104479,c_62,c_59]) ).
tcf(c_104513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104477,c_62,c_59]) ).
tcf(c_104519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104464,c_62,c_59]) ).
tcf(c_104525,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104466,c_62,c_59]) ).
tcf(c_104531,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104470,c_62,c_59]) ).
tcf(c_104537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sK2(xq,xp))
| ( sz00 = xq )
| ( X0 = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104469,c_62,c_59]) ).
tcf(c_104546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sK2(xq,xp))
| ( sz00 = xp )
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104468,c_62,c_59]) ).
tcf(c_104582,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_70294,c_103815]) ).
tcf(c_104583,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_11984,c_103815]) ).
tcf(c_104585,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_108,c_103815]) ).
tcf(c_104588,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_104582,c_2464]) ).
tcf(c_104613,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_104531,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_104531]) ).
tcf(c_104614,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(renaming,[status(thm)],[c_104613]) ).
tcf(c_104624,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_70294,c_104614]) ).
tcf(c_104625,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_11984,c_104614]) ).
tcf(c_104627,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_108,c_104614]) ).
tcf(c_104628,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104627,c_103]) ).
tcf(c_104634,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104625,c_103]) ).
tcf(c_104641,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(light_normalisation,[status(thm)],[c_104624,c_2464]) ).
tcf(c_105098,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_27876]) ).
tcf(c_105099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_27876]) ).
tcf(c_105101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_27876]) ).
tcf(c_105107,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27721,c_27876]) ).
tcf(c_105110,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11447,c_27876]) ).
tcf(c_105118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_27876]) ).
tcf(c_105120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_27876]) ).
tcf(c_105121,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_27876]) ).
tcf(c_105122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_27876]) ).
tcf(c_105123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_27876]) ).
tcf(c_105124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105101,c_103]) ).
tcf(c_105132,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_105120,c_2464]) ).
tcf(c_105133,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105118,c_62,c_103]) ).
tcf(c_105142,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105110,c_103]) ).
tcf(c_105150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105122,c_103]) ).
tcf(c_105160,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105099,c_103]) ).
tcf(c_105170,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_105098,c_2464]) ).
tcf(c_105171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105121,c_103]) ).
tcf(c_105182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_105123,c_2465]) ).
tcf(c_105183,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105182,c_103]) ).
tcf(c_105193,plain,
! [X0: $i] :
( ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(X0)
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xm),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_89591,c_61221,c_65774,c_89591]) ).
tcf(c_105194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xm),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(renaming,[status(thm)],[c_105193]) ).
tcf(c_105208,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sK2(xq,xm),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_105194,c_109]) ).
tcf(c_105209,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(xq,xm),X0))) = sdtpldt0(sK2(xq,xm),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_105194,c_12741]) ).
tcf(c_105210,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xm),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_105194,c_11962]) ).
tcf(c_105211,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xm),X0),sz00) ),
inference(superposition,[status(thm)],[c_105194,c_8700]) ).
tcf(c_105213,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xm),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xm),X0),sz00) ),
inference(superposition,[status(thm)],[c_105194,c_110]) ).
tcf(c_105214,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(xq,xm),X0))) = sdtpldt0(sK2(xq,xm),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_105194,c_73]) ).
tcf(c_105216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xm),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105211,c_103]) ).
tcf(c_105225,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sK2(xq,xm),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105208,c_103]) ).
tcf(c_105235,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(xq,xm),X0))) = sdtpldt0(sK2(xq,xm),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105214,c_103]) ).
tcf(c_105243,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xm),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xm),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105213,c_103]) ).
tcf(c_105258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_70]) ).
tcf(c_105259,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_75560]) ).
tcf(c_105260,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_75392]) ).
tcf(c_105261,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_26875,c_24035]) ).
tcf(c_105262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_26875,c_17825]) ).
tcf(c_105263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_26875,c_17392]) ).
tcf(c_105264,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_26875,c_14477]) ).
tcf(c_105265,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_5155]) ).
tcf(c_105268,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26875,c_75]) ).
tcf(c_105270,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_145]) ).
tcf(c_105271,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_84]) ).
tcf(c_105272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(superposition,[status(thm)],[c_26875,c_70]) ).
tcf(c_105273,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xm,sdtpldt0(xl,sK0)) ) ),
inference(superposition,[status(thm)],[c_26875,c_76]) ).
tcf(c_105274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_68]) ).
tcf(c_105275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_68]) ).
tcf(c_105276,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ doDivides0(X0,sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_26875,c_98]) ).
tcf(c_105277,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26875,c_77]) ).
tcf(c_105278,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_105271,c_50,c_16168]) ).
tcf(c_105279,plain,
sdtlseqdt0(sdtpldt0(xl,sK0),sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_105270,c_50,c_16168]) ).
tcf(c_105280,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105265,c_50,c_16168]) ).
tcf(c_105283,plain,
sdtpldt0(xm,sdtpldt0(xl,sK0)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_105268,c_11841,c_50,c_16168]) ).
tcf(c_105284,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105277,c_50,c_16168]) ).
tcf(c_105288,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105276,c_50,c_16168]) ).
tcf(c_105293,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sK0),X0) != sdtpldt0(xm,sdtpldt0(xl,sK0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105273,c_50,c_16168]) ).
tcf(c_105297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105275,c_50,c_16168]) ).
tcf(c_105302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(sdtpldt0(xl,sK0),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105274,c_50,c_16168]) ).
tcf(c_105307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105272,c_50,c_16168]) ).
tcf(c_105312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105258,c_50,c_16168]) ).
tcf(c_105317,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105260,c_50,c_16168]) ).
tcf(c_105322,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105264,c_50,c_16168]) ).
tcf(c_105327,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK0),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105261,c_50,c_16168]) ).
tcf(c_105333,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105259,c_50,c_16168]) ).
tcf(c_105339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK0),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105263,c_50,c_16168]) ).
tcf(c_105347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK0) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105262,c_50,c_16168]) ).
tcf(c_105362,plain,
sdtasdt0(sdtasdt0(xp,xq),xp) = sdtasdt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2780]) ).
tcf(c_105363,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xq)),sK2(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_104482,c_27869]) ).
tcf(c_105364,plain,
sdtasdt0(sdtasdt0(xp,xq),sK1) = sdtasdt0(sK1,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2779]) ).
tcf(c_105365,plain,
sdtasdt0(sdtasdt0(xp,xq),sK0) = sdtasdt0(sK0,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2778]) ).
tcf(c_105366,plain,
sdtasdt0(sdtasdt0(xp,xq),xn) = sdtasdt0(xn,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2777]) ).
tcf(c_105367,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(sdtasdt0(xp,xq),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_104482,c_13871]) ).
tcf(c_105368,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2776]) ).
tcf(c_105369,plain,
sdtasdt0(sdtasdt0(xp,xq),xl) = sdtasdt0(xl,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2775]) ).
tcf(c_105370,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2709]) ).
tcf(c_105371,plain,
sdtpldt0(sdtasdt0(xp,xq),xq) = sdtpldt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2705]) ).
tcf(c_105372,plain,
sdtpldt0(sdtasdt0(xp,xq),xp) = sdtpldt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2704]) ).
tcf(c_105373,plain,
sdtpldt0(sdtasdt0(xp,xq),sK1) = sdtpldt0(sK1,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2703]) ).
tcf(c_105374,plain,
sdtpldt0(sdtasdt0(xp,xq),sK0) = sdtpldt0(sK0,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2702]) ).
tcf(c_105375,plain,
sdtpldt0(sdtasdt0(xp,xq),xn) = sdtpldt0(xn,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2701]) ).
tcf(c_105376,plain,
sdtpldt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2700]) ).
tcf(c_105377,plain,
sdtpldt0(sdtasdt0(xp,xq),xl) = sdtpldt0(xl,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2699]) ).
tcf(c_105378,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xp,xq)),sdtasdt0(X0,sdtasdt0(xp,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xp,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104482,c_79]) ).
tcf(c_105379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),X1),sdtasdt0(sdtasdt0(xp,xq),X0)) = sdtasdt0(sdtasdt0(xp,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104482,c_78]) ).
tcf(c_105380,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xq),X1),X0) = sdtasdt0(sdtasdt0(xp,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104482,c_95]) ).
tcf(c_105381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xq),X1),X0) = sdtpldt0(sdtasdt0(xp,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104482,c_82]) ).
tcf(c_105382,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xq),X0),sdtasdt0(xp,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104482,c_152]) ).
tcf(c_105383,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(X0,sdtasdt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104482,c_96]) ).
tcf(c_105384,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xq),X0) = sdtpldt0(X0,sdtasdt0(xp,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_104482,c_83]) ).
tcf(c_105385,plain,
sdtasdt0(sz00,sdtasdt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_104482,c_94]) ).
tcf(c_105386,plain,
sdtasdt0(sdtasdt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_104482,c_93]) ).
tcf(c_105387,plain,
sdtpldt0(sz00,sdtasdt0(xp,xq)) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_104482,c_81]) ).
tcf(c_105388,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_104482,c_80]) ).
tcf(c_105421,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xp,xq),xq)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_104483,c_106]) ).
tcf(c_105422,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ doDivides0(sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_104483,c_99]) ).
tcf(c_105423,plain,
( ( sdtasdt0(xq,sK3(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_104483,c_102]) ).
tcf(c_105424,plain,
sdtasdt0(xq,sK3(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_105423,c_62,c_104482]) ).
tcf(c_105425,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105422,c_62,c_104482]) ).
tcf(c_105429,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xp,xq),xq)) = sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105421,c_62,c_104482]) ).
tcf(c_105432,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2780]) ).
tcf(c_105433,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtpldt0(xm,sdtpldt0(xl,sK0)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK0))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK0))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_105278,c_27869]) ).
tcf(c_105434,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2779]) ).
tcf(c_105435,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2778]) ).
tcf(c_105436,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2777]) ).
tcf(c_105437,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtpldt0(xm,sdtpldt0(xl,sK0)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK2(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_105278,c_13871]) ).
tcf(c_105438,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2776]) ).
tcf(c_105439,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2775]) ).
tcf(c_105440,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2709]) ).
tcf(c_105441,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2705]) ).
tcf(c_105442,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2704]) ).
tcf(c_105443,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2703]) ).
tcf(c_105444,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2702]) ).
tcf(c_105445,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2701]) ).
tcf(c_105446,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2700]) ).
tcf(c_105447,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2699]) ).
tcf(c_105448,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sK0))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,sK0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_105278,c_79]) ).
tcf(c_105449,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_105278,c_78]) ).
tcf(c_105450,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_105278,c_95]) ).
tcf(c_105451,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_105278,c_82]) ).
tcf(c_105452,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0),sdtpldt0(xm,sdtpldt0(xl,sK0))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_105278,c_152]) ).
tcf(c_105453,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_105278,c_96]) ).
tcf(c_105454,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_105278,c_83]) ).
tcf(c_105455,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0))) = sz00,
inference(superposition,[status(thm)],[c_105278,c_94]) ).
tcf(c_105456,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_105278,c_93]) ).
tcf(c_105457,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0))) = sdtpldt0(xm,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_105278,c_81]) ).
tcf(c_105458,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) = sdtpldt0(xm,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_105278,c_80]) ).
tcf(c_105491,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105385,c_89]) ).
tcf(c_105495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105385,c_18982]) ).
tcf(c_105497,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105385,c_15630]) ).
tcf(c_105507,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtasdt0(X0,sdtasdt0(xp,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_105385,c_92]) ).
tcf(c_105508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105385,c_89]) ).
tcf(c_105509,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105507,c_103,c_104482]) ).
tcf(c_105514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105508,c_103,c_104482]) ).
tcf(c_105520,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105491,c_103,c_104482]) ).
tcf(c_105526,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105497,c_103,c_2614,c_104482]) ).
tcf(c_105531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105495,c_103,c_2614,c_104482]) ).
tcf(c_105544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105386,c_18291]) ).
tcf(c_105547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtasdt0(sdtasdt0(xp,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_105386,c_91]) ).
tcf(c_105550,plain,
( doDivides0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105386,c_142]) ).
tcf(c_105552,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105386,c_87]) ).
tcf(c_105554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105386,c_87]) ).
tcf(c_105557,plain,
doDivides0(sdtasdt0(xp,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_105550,c_103,c_104482]) ).
tcf(c_105558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105547,c_103,c_104482]) ).
tcf(c_105563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105554,c_103,c_104482]) ).
tcf(c_105569,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105552,c_103,c_104482]) ).
tcf(c_105575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105544,c_103,c_2614,c_104482]) ).
tcf(c_105583,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xq),sdtsldt0(sz00,sdtasdt0(xp,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105557,c_106]) ).
tcf(c_105584,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105557,c_99]) ).
tcf(c_105585,plain,
( ( sdtasdt0(sdtasdt0(xp,xq),sK3(sdtasdt0(xp,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105557,c_102]) ).
tcf(c_105586,plain,
sdtasdt0(sdtasdt0(xp,xq),sK3(sdtasdt0(xp,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_105585,c_103,c_104482]) ).
tcf(c_105587,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105584,c_103,c_104482]) ).
tcf(c_105591,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xq),sdtsldt0(sz00,sdtasdt0(xp,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105583,c_103,c_104482]) ).
tcf(c_105594,plain,
sdtlseqdt0(xq,sdtasdt0(xp,xq)),
inference(global_subsumption_just,[status(thm)],[c_104484,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_104484]) ).
tcf(c_105596,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105594,c_109]) ).
tcf(c_105597,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105594,c_12741]) ).
tcf(c_105598,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105594,c_11962]) ).
tcf(c_105599,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_105594,c_8700]) ).
tcf(c_105601,plain,
( ( sdtasdt0(xp,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),xq) ),
inference(superposition,[status(thm)],[c_105594,c_110]) ).
tcf(c_105602,plain,
( ( sdtpldt0(xq,sK2(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105594,c_73]) ).
tcf(c_105603,plain,
sdtpldt0(xq,sK2(xq,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_105602,c_62,c_104482]) ).
tcf(c_105604,plain,
( ( sdtasdt0(xp,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105601,c_62,c_104482]) ).
tcf(c_105607,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105596,c_62,c_104482]) ).
tcf(c_105611,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105598,c_62,c_104482]) ).
tcf(c_105617,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105597,c_62,c_104482]) ).
tcf(c_105623,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105279,c_109]) ).
tcf(c_105624,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtpldt0(xm,sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105279,c_12741]) ).
tcf(c_105626,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) ),
inference(superposition,[status(thm)],[c_105279,c_8700]) ).
tcf(c_105628,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sdtpldt0(xl,sK0) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(xl,sK0)) ),
inference(superposition,[status(thm)],[c_105279,c_110]) ).
tcf(c_105629,plain,
( ( sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtpldt0(xm,sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK0))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105279,c_73]) ).
tcf(c_105630,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105623,c_16168,c_105278]) ).
tcf(c_105634,plain,
sdtpldt0(sdtpldt0(xl,sK0),sK2(sdtpldt0(xl,sK0),sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtpldt0(xm,sdtpldt0(xl,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_105629,c_16168,c_105278]) ).
tcf(c_105635,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sdtpldt0(xl,sK0) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105628,c_16168,c_105278]) ).
tcf(c_105639,plain,
( sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtpldt0(xm,sdtpldt0(xl,sK0)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105624,c_16168,c_105278]) ).
tcf(c_105656,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_70294,c_105322]) ).
tcf(c_105657,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_11984,c_105322]) ).
tcf(c_105659,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_108,c_105322]) ).
tcf(c_105662,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))
| sdtlseqdt0(sdtpldt0(xl,sK0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(light_normalisation,[status(thm)],[c_105656,c_2464]) ).
tcf(c_105681,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xm),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_65673,c_102402]) ).
tcf(c_105682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_58458,c_102402]) ).
tcf(c_105683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_102402]) ).
tcf(c_105684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26865,c_102402]) ).
tcf(c_105685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_14300,c_102402]) ).
tcf(c_105686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_17331,c_102402]) ).
tcf(c_105787,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sz00 = xp )
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_104271,c_102402]) ).
tcf(c_105856,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_102402,c_109]) ).
tcf(c_105861,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_102402,c_110]) ).
tcf(c_105862,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_102402,c_73]) ).
tcf(c_105863,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_102402,c_61224]) ).
tcf(c_105864,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102402,c_109]) ).
tcf(c_105865,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102402,c_12741]) ).
tcf(c_105866,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102402,c_11962]) ).
tcf(c_105867,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_102402,c_8700]) ).
tcf(c_105869,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_102402,c_110]) ).
tcf(c_105870,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102402,c_73]) ).
tcf(c_105871,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sz00 = xp )
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105787,c_62,c_59]) ).
tcf(c_105878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xl,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105685,c_49]) ).
tcf(c_105886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105684,c_50]) ).
tcf(c_105894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105683,c_51]) ).
tcf(c_105902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105682,c_59]) ).
tcf(c_105936,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105867,c_103]) ).
tcf(c_105947,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105870,c_103]) ).
tcf(c_105957,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105869,c_103]) ).
tcf(c_105968,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105864,c_103]) ).
tcf(c_105980,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105862,c_59]) ).
tcf(c_105990,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105861,c_59]) ).
tcf(c_106001,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_105856,c_59]) ).
tcf(c_106022,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6428,c_97]) ).
tcf(c_106038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_106022,c_109]) ).
tcf(c_106039,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_106022,c_12741]) ).
tcf(c_106040,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_106022,c_11962]) ).
tcf(c_106041,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_106022,c_8700]) ).
tcf(c_106043,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)),xp) ),
inference(superposition,[status(thm)],[c_106022,c_110]) ).
tcf(c_106044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_106022,c_73]) ).
tcf(c_106045,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_106022,c_3965]) ).
tcf(c_106055,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106038,c_59]) ).
tcf(c_106064,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106044,c_59]) ).
tcf(c_106071,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106043,c_59]) ).
tcf(c_106079,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106040,c_59]) ).
tcf(c_106088,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106041,c_59]) ).
tcf(c_106097,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))) = sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106039,c_59]) ).
tcf(c_106123,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_70294,c_106088]) ).
tcf(c_106124,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_11984,c_106088]) ).
tcf(c_106126,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_108,c_106088]) ).
tcf(c_106128,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106124,c_103]) ).
tcf(c_106138,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(light_normalisation,[status(thm)],[c_106123,c_2464]) ).
tcf(c_106145,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12202,c_84]) ).
tcf(c_106161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_106145,c_109]) ).
tcf(c_106162,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(xq,xp),X0))) = sdtpldt0(sK2(xq,xp),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_106145,c_12741]) ).
tcf(c_106164,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_106145,c_8700]) ).
tcf(c_106166,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_106145,c_110]) ).
tcf(c_106167,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sK2(xq,xp),X0))) = sdtpldt0(sK2(xq,xp),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_106145,c_73]) ).
tcf(c_106168,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106164,c_103]) ).
tcf(c_106176,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106161,c_103]) ).
tcf(c_106186,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106166,c_103]) ).
tcf(c_106198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_70]) ).
tcf(c_106199,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_75560]) ).
tcf(c_106200,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_75392]) ).
tcf(c_106201,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_26876,c_24035]) ).
tcf(c_106202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_26876,c_17825]) ).
tcf(c_106203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_26876,c_17392]) ).
tcf(c_106204,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_26876,c_14477]) ).
tcf(c_106205,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_5155]) ).
tcf(c_106208,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26876,c_75]) ).
tcf(c_106210,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_145]) ).
tcf(c_106211,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_84]) ).
tcf(c_106212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(superposition,[status(thm)],[c_26876,c_70]) ).
tcf(c_106213,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xm,sdtpldt0(xl,sK1)) ) ),
inference(superposition,[status(thm)],[c_26876,c_76]) ).
tcf(c_106214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_68]) ).
tcf(c_106215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_68]) ).
tcf(c_106216,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ doDivides0(X0,sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_26876,c_98]) ).
tcf(c_106217,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26876,c_77]) ).
tcf(c_106218,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_106211,c_50,c_16398]) ).
tcf(c_106219,plain,
sdtlseqdt0(sdtpldt0(xl,sK1),sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_106210,c_50,c_16398]) ).
tcf(c_106220,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106205,c_50,c_16398]) ).
tcf(c_106223,plain,
sdtpldt0(xm,sdtpldt0(xl,sK1)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_106208,c_11841,c_50,c_16398]) ).
tcf(c_106224,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106217,c_50,c_16398]) ).
tcf(c_106228,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106216,c_50,c_16398]) ).
tcf(c_106233,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sK1),X0) != sdtpldt0(xm,sdtpldt0(xl,sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106213,c_50,c_16398]) ).
tcf(c_106237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106215,c_50,c_16398]) ).
tcf(c_106242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(sdtpldt0(xl,sK1),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106214,c_50,c_16398]) ).
tcf(c_106247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sK1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106212,c_50,c_16398]) ).
tcf(c_106252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106198,c_50,c_16398]) ).
tcf(c_106257,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106200,c_50,c_16398]) ).
tcf(c_106262,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106204,c_50,c_16398]) ).
tcf(c_106267,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sK1),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106201,c_50,c_16398]) ).
tcf(c_106273,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sK1)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106199,c_50,c_16398]) ).
tcf(c_106279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sK1),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106203,c_50,c_16398]) ).
tcf(c_106287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sK1) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106202,c_50,c_16398]) ).
tcf(c_106302,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2780]) ).
tcf(c_106303,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtpldt0(xm,sdtpldt0(xl,sK1)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK1))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK1))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_106218,c_27869]) ).
tcf(c_106304,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2779]) ).
tcf(c_106305,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2778]) ).
tcf(c_106306,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2777]) ).
tcf(c_106307,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtpldt0(xm,sdtpldt0(xl,sK1)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK2(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_106218,c_13871]) ).
tcf(c_106308,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2776]) ).
tcf(c_106309,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2775]) ).
tcf(c_106310,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2709]) ).
tcf(c_106311,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2705]) ).
tcf(c_106312,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2704]) ).
tcf(c_106313,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2703]) ).
tcf(c_106314,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2702]) ).
tcf(c_106315,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2701]) ).
tcf(c_106316,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2700]) ).
tcf(c_106317,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2699]) ).
tcf(c_106318,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sK1))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,sK1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106218,c_79]) ).
tcf(c_106319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106218,c_78]) ).
tcf(c_106320,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106218,c_95]) ).
tcf(c_106321,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106218,c_82]) ).
tcf(c_106322,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0),sdtpldt0(xm,sdtpldt0(xl,sK1))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106218,c_152]) ).
tcf(c_106323,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106218,c_96]) ).
tcf(c_106324,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106218,c_83]) ).
tcf(c_106325,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1))) = sz00,
inference(superposition,[status(thm)],[c_106218,c_94]) ).
tcf(c_106326,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) = sz00,
inference(superposition,[status(thm)],[c_106218,c_93]) ).
tcf(c_106327,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1))) = sdtpldt0(xm,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_106218,c_81]) ).
tcf(c_106328,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) = sdtpldt0(xm,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_106218,c_80]) ).
tcf(c_106419,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106219,c_109]) ).
tcf(c_106420,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtpldt0(xm,sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106219,c_12741]) ).
tcf(c_106422,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) ),
inference(superposition,[status(thm)],[c_106219,c_8700]) ).
tcf(c_106424,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sdtpldt0(xl,sK1) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(xl,sK1)) ),
inference(superposition,[status(thm)],[c_106219,c_110]) ).
tcf(c_106425,plain,
( ( sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtpldt0(xm,sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(sdtpldt0(xl,sK1))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106219,c_73]) ).
tcf(c_106426,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106419,c_16398,c_106218]) ).
tcf(c_106430,plain,
sdtpldt0(sdtpldt0(xl,sK1),sK2(sdtpldt0(xl,sK1),sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtpldt0(xm,sdtpldt0(xl,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_106425,c_16398,c_106218]) ).
tcf(c_106431,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sdtpldt0(xl,sK1) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106424,c_16398,c_106218]) ).
tcf(c_106435,plain,
( sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtpldt0(xm,sdtpldt0(xl,sK1)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106420,c_16398,c_106218]) ).
tcf(c_106441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xq)),sdtasdt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105387,c_70]) ).
tcf(c_106445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_105387,c_17825]) ).
tcf(c_106446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105387,c_17392]) ).
tcf(c_106447,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_105387,c_14477]) ).
tcf(c_106453,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105387,c_145]) ).
tcf(c_106455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105387,c_70]) ).
tcf(c_106456,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_105387,c_76]) ).
tcf(c_106457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_105387,c_68]) ).
tcf(c_106458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105387,c_68]) ).
tcf(c_106460,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(X0,sdtasdt0(xp,xq)) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_105387,c_77]) ).
tcf(c_106462,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_97431]) ).
tcf(c_106464,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_51524]) ).
tcf(c_106465,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_49956]) ).
tcf(c_106466,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105387,c_47638]) ).
tcf(c_106467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_41879]) ).
tcf(c_106468,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_46832]) ).
tcf(c_106469,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_43963]) ).
tcf(c_106470,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_43470]) ).
tcf(c_106471,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_43085]) ).
tcf(c_106472,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_42039]) ).
tcf(c_106473,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_35146]) ).
tcf(c_106474,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_26041]) ).
tcf(c_106475,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_26044]) ).
tcf(c_106476,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,xq)),sz00) ),
inference(superposition,[status(thm)],[c_105387,c_26052]) ).
tcf(c_106477,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_15930]) ).
tcf(c_106479,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_24215]) ).
tcf(c_106480,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_24215]) ).
tcf(c_106481,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_15931]) ).
tcf(c_106482,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_24885]) ).
tcf(c_106483,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_15793]) ).
tcf(c_106484,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_105387,c_8652]) ).
tcf(c_106485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_45030]) ).
tcf(c_106486,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_106453,c_103,c_104482]) ).
tcf(c_106487,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xq)) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106460,c_103,c_104482]) ).
tcf(c_106491,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106456,c_103,c_104482]) ).
tcf(c_106495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106455,c_103,c_104482]) ).
tcf(c_106501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106458,c_103,c_104482]) ).
tcf(c_106506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106457,c_103,c_104482]) ).
tcf(c_106511,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106447,c_103,c_104482]) ).
tcf(c_106516,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,xq) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106484,c_104482]) ).
tcf(c_106521,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106483,c_104482]) ).
tcf(c_106527,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106481,c_104482]) ).
tcf(c_106533,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106480,c_105387]) ).
tcf(c_106534,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106533,c_104482]) ).
tcf(c_106542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106445,c_103,c_104482]) ).
tcf(c_106550,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106477,c_104482]) ).
tcf(c_106557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106446,c_103,c_104482]) ).
tcf(c_106572,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106476,c_105387]) ).
tcf(c_106573,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106572,c_104482]) ).
tcf(c_106579,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106475,c_105387]) ).
tcf(c_106580,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106579,c_104482]) ).
tcf(c_106587,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106473,c_104482]) ).
tcf(c_106595,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106474,c_105387]) ).
tcf(c_106596,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106595,c_104482]) ).
tcf(c_106604,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106468,c_105387]) ).
tcf(c_106605,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106604,c_104482]) ).
tcf(c_106612,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106462,c_104482]) ).
tcf(c_106620,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq)) ),
inference(light_normalisation,[status(thm)],[c_106466,c_105387]) ).
tcf(c_106621,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106620,c_104482]) ).
tcf(c_106628,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106472,c_105387]) ).
tcf(c_106629,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106628,c_104482]) ).
tcf(c_106637,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106471,c_104482]) ).
tcf(c_106645,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106470,c_104482]) ).
tcf(c_106653,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106469,c_104482]) ).
tcf(c_106660,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106485,c_105387]) ).
tcf(c_106661,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106660,c_104482]) ).
tcf(c_106670,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106465,c_105387]) ).
tcf(c_106671,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106670,c_104482]) ).
tcf(c_106679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106467,c_105387]) ).
tcf(c_106680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106679,c_104482]) ).
tcf(c_106690,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_106464,c_105387]) ).
tcf(c_106691,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106690,c_104482]) ).
tcf(c_106904,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_106486,c_109]) ).
tcf(c_106909,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_106486,c_110]) ).
tcf(c_106910,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_106486,c_73]) ).
tcf(c_106911,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_106910,c_103,c_104482]) ).
tcf(c_106912,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106909,c_103,c_104482]) ).
tcf(c_106915,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106904,c_103,c_104482]) ).
tcf(c_106919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105388,c_70]) ).
tcf(c_106922,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_105388,c_24035]) ).
tcf(c_106923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105388,c_17825]) ).
tcf(c_106924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_105388,c_17392]) ).
tcf(c_106925,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_105388,c_14477]) ).
tcf(c_106931,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105388,c_145]) ).
tcf(c_106933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_105388,c_70]) ).
tcf(c_106934,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(sdtasdt0(xp,xq),X0) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_105388,c_76]) ).
tcf(c_106935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105388,c_68]) ).
tcf(c_106936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),X0),sdtasdt0(xp,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_105388,c_68]) ).
tcf(c_106938,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xq) ) ),
inference(superposition,[status(thm)],[c_105388,c_77]) ).
tcf(c_106939,plain,
sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_106931,c_103,c_104482]) ).
tcf(c_106940,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106938,c_103,c_104482]) ).
tcf(c_106944,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xq),X0) != sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106934,c_103,c_104482]) ).
tcf(c_106949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(sdtasdt0(xp,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106935,c_103,c_104482]) ).
tcf(c_106954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106933,c_103,c_104482]) ).
tcf(c_106959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106919,c_103,c_104482]) ).
tcf(c_106964,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106925,c_103,c_104482]) ).
tcf(c_106969,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106922,c_103,c_104482]) ).
tcf(c_106975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106924,c_103,c_104482]) ).
tcf(c_106983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106923,c_103,c_104482]) ).
tcf(c_106994,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_106939,c_8700]) ).
tcf(c_106997,plain,
( ( sdtpldt0(sdtasdt0(xp,xq),sK2(sdtasdt0(xp,xq),sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_106939,c_73]) ).
tcf(c_106998,plain,
sdtpldt0(sdtasdt0(xp,xq),sK2(sdtasdt0(xp,xq),sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_106997,c_104482]) ).
tcf(c_107010,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_106964,c_109]) ).
tcf(c_107012,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_106964,c_11962]) ).
tcf(c_107013,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_106964,c_8700]) ).
tcf(c_107014,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_106964,c_3979]) ).
tcf(c_107015,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_106964,c_110]) ).
tcf(c_107016,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(sdtasdt0(xp,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_106964,c_73]) ).
tcf(c_107017,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_106964,c_5863]) ).
tcf(c_107020,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107013,c_104482]) ).
tcf(c_107026,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107010,c_104482]) ).
tcf(c_107033,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107017,c_104482]) ).
tcf(c_107039,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(sdtasdt0(xp,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107016,c_104482]) ).
tcf(c_107044,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107015,c_104482]) ).
tcf(c_107090,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_70294,c_106262]) ).
tcf(c_107091,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_11984,c_106262]) ).
tcf(c_107093,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_108,c_106262]) ).
tcf(c_107096,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))
| sdtlseqdt0(sdtpldt0(xl,sK1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(light_normalisation,[status(thm)],[c_107090,c_2464]) ).
tcf(c_107105,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_21406,c_4706,c_21406]) ).
tcf(c_107106,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_107105]) ).
tcf(c_107113,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107106,c_84]) ).
tcf(c_107130,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107113,c_109]) ).
tcf(c_107131,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107113,c_12741]) ).
tcf(c_107132,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107113,c_11962]) ).
tcf(c_107133,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_107113,c_8700]) ).
tcf(c_107135,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xq) ),
inference(superposition,[status(thm)],[c_107113,c_110]) ).
tcf(c_107136,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107113,c_73]) ).
tcf(c_107138,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107113,c_45030]) ).
tcf(c_107139,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107130,c_62]) ).
tcf(c_107148,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107136,c_62]) ).
tcf(c_107155,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sdtpldt0(X0,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107135,c_62]) ).
tcf(c_107163,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107132,c_62]) ).
tcf(c_107172,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107133,c_62]) ).
tcf(c_107181,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107131,c_62]) ).
tcf(c_107190,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107138,c_62,c_103]) ).
tcf(c_107720,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107172,c_84]) ).
tcf(c_107743,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_107720]) ).
tcf(c_107744,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_107720]) ).
tcf(c_107746,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_107720]) ).
tcf(c_107749,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107744,c_103]) ).
tcf(c_107759,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_107743,c_2464]) ).
tcf(c_107760,plain,
! [X0: $i] :
( ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(X0)
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(X0,sK2(xq,xm))
| sdtlseqdt0(sz00,X0) ),
inference(global_subsumption_just,[status(thm)],[c_96219,c_11891,c_73044]) ).
tcf(c_107761,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(renaming,[status(thm)],[c_107760]) ).
tcf(c_107776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_107761,c_109]) ).
tcf(c_107777,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xm))) = sK2(xq,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_107761,c_12741]) ).
tcf(c_107778,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xm))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_107761,c_11962]) ).
tcf(c_107779,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(superposition,[status(thm)],[c_107761,c_8700]) ).
tcf(c_107780,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_107761,c_3979]) ).
tcf(c_107781,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = X0 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),X0) ),
inference(superposition,[status(thm)],[c_107761,c_110]) ).
tcf(c_107782,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xm))) = sK2(xq,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_107761,c_73]) ).
tcf(c_107787,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(superposition,[status(thm)],[c_107761,c_5910]) ).
tcf(c_107788,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00) ),
inference(superposition,[status(thm)],[c_107761,c_26045]) ).
tcf(c_107789,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107761,c_8679]) ).
tcf(c_107790,plain,
( sdtlseqdt0(xp,xm)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(light_normalisation,[status(thm)],[c_107787,c_65673]) ).
tcf(c_107864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_70]) ).
tcf(c_107865,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_75560]) ).
tcf(c_107866,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_75392]) ).
tcf(c_107867,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26877,c_24035]) ).
tcf(c_107868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26877,c_17825]) ).
tcf(c_107869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26877,c_17392]) ).
tcf(c_107870,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26877,c_14477]) ).
tcf(c_107871,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_5155]) ).
tcf(c_107874,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26877,c_75]) ).
tcf(c_107876,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_145]) ).
tcf(c_107877,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_84]) ).
tcf(c_107878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(superposition,[status(thm)],[c_26877,c_70]) ).
tcf(c_107879,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xm,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_26877,c_76]) ).
tcf(c_107880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_68]) ).
tcf(c_107881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_68]) ).
tcf(c_107882,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_26877,c_98]) ).
tcf(c_107883,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26877,c_77]) ).
tcf(c_107884,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_107877,c_50,c_16905]) ).
tcf(c_107885,plain,
sdtlseqdt0(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_107876,c_50,c_16905]) ).
tcf(c_107886,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107871,c_50,c_16905]) ).
tcf(c_107889,plain,
sdtpldt0(xm,sdtpldt0(xl,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_107874,c_11841,c_50,c_16905]) ).
tcf(c_107890,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107883,c_50,c_16905]) ).
tcf(c_107894,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107882,c_50,c_16905]) ).
tcf(c_107899,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xp),X0) != sdtpldt0(xm,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107879,c_50,c_16905]) ).
tcf(c_107903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107881,c_50,c_16905]) ).
tcf(c_107908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107880,c_50,c_16905]) ).
tcf(c_107913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107878,c_50,c_16905]) ).
tcf(c_107918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107864,c_50,c_16905]) ).
tcf(c_107923,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107866,c_50,c_16905]) ).
tcf(c_107928,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107870,c_50,c_16905]) ).
tcf(c_107933,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107867,c_50,c_16905]) ).
tcf(c_107939,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107865,c_50,c_16905]) ).
tcf(c_107945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xp),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107869,c_50,c_16905]) ).
tcf(c_107953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107868,c_50,c_16905]) ).
tcf(c_107968,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2780]) ).
tcf(c_107969,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_107884,c_27869]) ).
tcf(c_107970,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2779]) ).
tcf(c_107971,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2778]) ).
tcf(c_107972,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2777]) ).
tcf(c_107973,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK2(sdtpldt0(xm,sdtpldt0(xl,xp)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_107884,c_13871]) ).
tcf(c_107974,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2776]) ).
tcf(c_107975,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2775]) ).
tcf(c_107976,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2709]) ).
tcf(c_107977,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2705]) ).
tcf(c_107978,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2704]) ).
tcf(c_107979,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2703]) ).
tcf(c_107980,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2702]) ).
tcf(c_107981,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2701]) ).
tcf(c_107982,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2700]) ).
tcf(c_107983,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2699]) ).
tcf(c_107984,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xp))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107884,c_79]) ).
tcf(c_107985,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107884,c_78]) ).
tcf(c_107986,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107884,c_95]) ).
tcf(c_107987,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107884,c_82]) ).
tcf(c_107988,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sdtpldt0(xm,sdtpldt0(xl,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107884,c_152]) ).
tcf(c_107989,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107884,c_96]) ).
tcf(c_107990,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_107884,c_83]) ).
tcf(c_107991,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))) = sz00,
inference(superposition,[status(thm)],[c_107884,c_94]) ).
tcf(c_107992,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_107884,c_93]) ).
tcf(c_107993,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_107884,c_81]) ).
tcf(c_107994,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_107884,c_80]) ).
tcf(c_108163,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107885,c_109]) ).
tcf(c_108164,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107885,c_12741]) ).
tcf(c_108166,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_107885,c_8700]) ).
tcf(c_108168,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_107885,c_110]) ).
tcf(c_108169,plain,
( ( sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107885,c_73]) ).
tcf(c_108170,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108163,c_16905,c_107884]) ).
tcf(c_108174,plain,
sdtpldt0(sdtpldt0(xl,xp),sK2(sdtpldt0(xl,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_108169,c_16905,c_107884]) ).
tcf(c_108175,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sdtpldt0(xl,xp) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xl,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108168,c_16905,c_107884]) ).
tcf(c_108179,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108164,c_16905,c_107884]) ).
tcf(c_108185,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105455,c_89]) ).
tcf(c_108190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105455,c_18982]) ).
tcf(c_108192,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105455,c_15630]) ).
tcf(c_108202,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))) != sz00 ) ),
inference(superposition,[status(thm)],[c_105455,c_92]) ).
tcf(c_108203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105455,c_89]) ).
tcf(c_108204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108202,c_105283,c_103,c_105278]) ).
tcf(c_108210,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108185,c_105283,c_103,c_105278]) ).
tcf(c_108215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK0))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108190,c_105283,c_103,c_2614,c_105278]) ).
tcf(c_108228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105456,c_18291]) ).
tcf(c_108231,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_105456,c_91]) ).
tcf(c_108234,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105456,c_142]) ).
tcf(c_108236,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105456,c_87]) ).
tcf(c_108238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_105456,c_87]) ).
tcf(c_108241,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_108234,c_103,c_105278]) ).
tcf(c_108242,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108231,c_105283,c_103,c_105278]) ).
tcf(c_108247,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108236,c_105283,c_103,c_105278]) ).
tcf(c_108252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108228,c_105283,c_103,c_2614,c_105278]) ).
tcf(c_108259,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,sK0)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_108241,c_106]) ).
tcf(c_108260,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_108241,c_99]) ).
tcf(c_108261,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK3(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK0))) ),
inference(superposition,[status(thm)],[c_108241,c_102]) ).
tcf(c_108262,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK0)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108260,c_103,c_105278]) ).
tcf(c_108266,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK3(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_108261,c_103,c_105278]) ).
tcf(c_108267,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_108259,c_105283,c_103,c_105278]) ).
tcf(c_108268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106325,c_89]) ).
tcf(c_108273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106325,c_18982]) ).
tcf(c_108275,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106325,c_15630]) ).
tcf(c_108285,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))) != sz00 ) ),
inference(superposition,[status(thm)],[c_106325,c_92]) ).
tcf(c_108286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106325,c_89]) ).
tcf(c_108287,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108285,c_106223,c_103,c_106218]) ).
tcf(c_108293,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108268,c_106223,c_103,c_106218]) ).
tcf(c_108298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sK1))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108273,c_106223,c_103,c_2614,c_106218]) ).
tcf(c_108311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106326,c_18291]) ).
tcf(c_108314,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_106326,c_91]) ).
tcf(c_108317,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106326,c_142]) ).
tcf(c_108319,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106326,c_87]) ).
tcf(c_108321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_106326,c_87]) ).
tcf(c_108324,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_108317,c_103,c_106218]) ).
tcf(c_108325,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108314,c_106223,c_103,c_106218]) ).
tcf(c_108330,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108319,c_106223,c_103,c_106218]) ).
tcf(c_108335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108311,c_106223,c_103,c_2614,c_106218]) ).
tcf(c_108344,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_107789,c_8631,c_107789]) ).
tcf(c_108345,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_108344]) ).
tcf(c_108360,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_109]) ).
tcf(c_108361,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xm)))) = sdtpldt0(sz00,sK2(xq,xm)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_12741]) ).
tcf(c_108362,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_11962]) ).
tcf(c_108363,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00) ),
inference(superposition,[status(thm)],[c_108345,c_8700]) ).
tcf(c_108364,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xm)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_3979]) ).
tcf(c_108365,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(xq,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_108345,c_110]) ).
tcf(c_108366,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xm)))) = sdtpldt0(sz00,sK2(xq,xm)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_73]) ).
tcf(c_108367,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(xq,xm)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xm)))) = sdtpldt0(sz00,sK2(xq,xm)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_12745]) ).
tcf(c_108368,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(xq,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_12182]) ).
tcf(c_108369,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(xq,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00) ),
inference(superposition,[status(thm)],[c_108345,c_8702]) ).
tcf(c_108370,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xm))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(xq,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_5910]) ).
tcf(c_108371,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_47638]) ).
tcf(c_108372,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_45030]) ).
tcf(c_108659,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_107928]) ).
tcf(c_108660,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_107928]) ).
tcf(c_108662,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_108,c_107928]) ).
tcf(c_108665,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_108659,c_2464]) ).
tcf(c_108666,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_24943,c_8631,c_10380]) ).
tcf(c_108667,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_108666]) ).
tcf(c_108676,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_108667]) ).
tcf(c_108678,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_24950,c_8631,c_10385]) ).
tcf(c_108679,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_108678]) ).
tcf(c_108688,plain,
( sdtlseqdt0(sK1,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_108679]) ).
tcf(c_108695,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_24957,c_8631,c_10390]) ).
tcf(c_108696,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_108695]) ).
tcf(c_108705,plain,
( sdtlseqdt0(sK0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_108696]) ).
tcf(c_108707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_70]) ).
tcf(c_108708,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_75560]) ).
tcf(c_108709,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_75392]) ).
tcf(c_108710,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26878,c_24035]) ).
tcf(c_108711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26878,c_17825]) ).
tcf(c_108712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26878,c_17392]) ).
tcf(c_108713,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_26878,c_14477]) ).
tcf(c_108714,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_5155]) ).
tcf(c_108717,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_26878,c_75]) ).
tcf(c_108719,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_145]) ).
tcf(c_108720,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_84]) ).
tcf(c_108721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_26878,c_70]) ).
tcf(c_108722,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xm,sdtpldt0(xl,xq)) ) ),
inference(superposition,[status(thm)],[c_26878,c_76]) ).
tcf(c_108723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_68]) ).
tcf(c_108724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_68]) ).
tcf(c_108725,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_26878,c_98]) ).
tcf(c_108726,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26878,c_77]) ).
tcf(c_108727,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_108720,c_50,c_17110]) ).
tcf(c_108728,plain,
sdtlseqdt0(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_108719,c_50,c_17110]) ).
tcf(c_108729,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108714,c_50,c_17110]) ).
tcf(c_108732,plain,
sdtpldt0(xm,sdtpldt0(xl,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_108717,c_11841,c_50,c_17110]) ).
tcf(c_108733,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108726,c_50,c_17110]) ).
tcf(c_108737,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108725,c_50,c_17110]) ).
tcf(c_108742,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,xq),X0) != sdtpldt0(xm,sdtpldt0(xl,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108722,c_50,c_17110]) ).
tcf(c_108746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108724,c_50,c_17110]) ).
tcf(c_108751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(sdtpldt0(xl,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108723,c_50,c_17110]) ).
tcf(c_108756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108721,c_50,c_17110]) ).
tcf(c_108761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108707,c_50,c_17110]) ).
tcf(c_108766,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108709,c_50,c_17110]) ).
tcf(c_108771,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108713,c_50,c_17110]) ).
tcf(c_108776,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108710,c_50,c_17110]) ).
tcf(c_108782,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108708,c_50,c_17110]) ).
tcf(c_108788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,xq),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108712,c_50,c_17110]) ).
tcf(c_108796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_108711,c_50,c_17110]) ).
tcf(c_108828,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2780]) ).
tcf(c_108829,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_108727,c_27869]) ).
tcf(c_108830,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2779]) ).
tcf(c_108831,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2778]) ).
tcf(c_108832,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2777]) ).
tcf(c_108833,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK2(sdtpldt0(xm,sdtpldt0(xl,xq)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_108727,c_13871]) ).
tcf(c_108834,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2776]) ).
tcf(c_108835,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2775]) ).
tcf(c_108836,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2709]) ).
tcf(c_108837,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2705]) ).
tcf(c_108838,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2704]) ).
tcf(c_108839,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2703]) ).
tcf(c_108840,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2702]) ).
tcf(c_108841,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2701]) ).
tcf(c_108842,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2700]) ).
tcf(c_108843,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2699]) ).
tcf(c_108844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xq))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108727,c_79]) ).
tcf(c_108845,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108727,c_78]) ).
tcf(c_108846,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108727,c_95]) ).
tcf(c_108847,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108727,c_82]) ).
tcf(c_108848,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sdtpldt0(xm,sdtpldt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108727,c_152]) ).
tcf(c_108849,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108727,c_96]) ).
tcf(c_108850,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108727,c_83]) ).
tcf(c_108851,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))) = sz00,
inference(superposition,[status(thm)],[c_108727,c_94]) ).
tcf(c_108852,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_108727,c_93]) ).
tcf(c_108853,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_108727,c_81]) ).
tcf(c_108854,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_108727,c_80]) ).
tcf(c_109001,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,sK1)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_108324,c_106]) ).
tcf(c_109002,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_108324,c_99]) ).
tcf(c_109003,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK3(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sK1))) ),
inference(superposition,[status(thm)],[c_108324,c_102]) ).
tcf(c_109004,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,sK1)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109002,c_103,c_106218]) ).
tcf(c_109008,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK3(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_109003,c_103,c_106218]) ).
tcf(c_109009,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_109001,c_106223,c_103,c_106218]) ).
tcf(c_109010,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108728,c_109]) ).
tcf(c_109011,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108728,c_12741]) ).
tcf(c_109013,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_108728,c_8700]) ).
tcf(c_109015,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_108728,c_110]) ).
tcf(c_109016,plain,
( ( sdtpldt0(sdtpldt0(xl,xq),sK2(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108728,c_73]) ).
tcf(c_109017,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109010,c_17110,c_108727]) ).
tcf(c_109021,plain,
sdtpldt0(sdtpldt0(xl,xq),sK2(sdtpldt0(xl,xq),sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_109016,c_17110,c_108727]) ).
tcf(c_109022,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sdtpldt0(xl,xq) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xl,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109015,c_17110,c_108727]) ).
tcf(c_109026,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109011,c_17110,c_108727]) ).
tcf(c_109032,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107991,c_89]) ).
tcf(c_109037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107991,c_18982]) ).
tcf(c_109039,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107991,c_15630]) ).
tcf(c_109049,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_107991,c_92]) ).
tcf(c_109050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107991,c_89]) ).
tcf(c_109051,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109049,c_107889,c_103,c_107884]) ).
tcf(c_109057,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109032,c_107889,c_103,c_107884]) ).
tcf(c_109062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109037,c_107889,c_103,c_2614,c_107884]) ).
tcf(c_109075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107992,c_18291]) ).
tcf(c_109078,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_107992,c_91]) ).
tcf(c_109081,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107992,c_142]) ).
tcf(c_109083,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107992,c_87]) ).
tcf(c_109085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107992,c_87]) ).
tcf(c_109088,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_109081,c_103,c_107884]) ).
tcf(c_109089,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109078,c_107889,c_103,c_107884]) ).
tcf(c_109094,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109083,c_107889,c_103,c_107884]) ).
tcf(c_109099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109075,c_107889,c_103,c_2614,c_107884]) ).
tcf(c_109106,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_109088,c_106]) ).
tcf(c_109107,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_109088,c_99]) ).
tcf(c_109108,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK3(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_109088,c_102]) ).
tcf(c_109109,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xp)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109107,c_103,c_107884]) ).
tcf(c_109113,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK3(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_109108,c_103,c_107884]) ).
tcf(c_109114,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_109106,c_107889,c_103,c_107884]) ).
tcf(c_109115,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108851,c_89]) ).
tcf(c_109120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108851,c_18982]) ).
tcf(c_109122,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108851,c_15630]) ).
tcf(c_109132,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_108851,c_92]) ).
tcf(c_109133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108851,c_89]) ).
tcf(c_109134,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109132,c_108732,c_103,c_108727]) ).
tcf(c_109140,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109115,c_108732,c_103,c_108727]) ).
tcf(c_109145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109120,c_108732,c_103,c_2614,c_108727]) ).
tcf(c_109291,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_70294,c_108771]) ).
tcf(c_109292,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11984,c_108771]) ).
tcf(c_109294,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108,c_108771]) ).
tcf(c_109297,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_109291,c_2464]) ).
tcf(c_109298,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_24964,c_8631,c_10395]) ).
tcf(c_109299,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_109298]) ).
tcf(c_109308,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_109299]) ).
tcf(c_109322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_70]) ).
tcf(c_109323,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_75560]) ).
tcf(c_109324,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_75392]) ).
tcf(c_109325,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_26879,c_24035]) ).
tcf(c_109326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_26879,c_17825]) ).
tcf(c_109327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_26879,c_17392]) ).
tcf(c_109328,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_26879,c_14477]) ).
tcf(c_109329,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_5155]) ).
tcf(c_109332,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_26879,c_75]) ).
tcf(c_109334,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_145]) ).
tcf(c_109335,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_84]) ).
tcf(c_109336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_26879,c_70]) ).
tcf(c_109337,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) ) ),
inference(superposition,[status(thm)],[c_26879,c_76]) ).
tcf(c_109338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_68]) ).
tcf(c_109339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_68]) ).
tcf(c_109340,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_26879,c_98]) ).
tcf(c_109341,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26879,c_77]) ).
tcf(c_109342,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(forward_subsumption_resolution,[status(thm)],[c_109335,c_50,c_20938]) ).
tcf(c_109343,plain,
sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(forward_subsumption_resolution,[status(thm)],[c_109334,c_50,c_20938]) ).
tcf(c_109344,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_109332,c_11841,c_50,c_20938]) ).
tcf(c_109345,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109329,c_50,c_20938]) ).
tcf(c_109348,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109341,c_50,c_20938]) ).
tcf(c_109352,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109340,c_50,c_20938]) ).
tcf(c_109357,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109337,c_50,c_20938]) ).
tcf(c_109361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109339,c_50,c_20938]) ).
tcf(c_109366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109338,c_50,c_20938]) ).
tcf(c_109371,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109324,c_50,c_20938]) ).
tcf(c_109376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109336,c_50,c_20938]) ).
tcf(c_109381,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109328,c_50,c_20938]) ).
tcf(c_109386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109322,c_50,c_20938]) ).
tcf(c_109391,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109325,c_50,c_20938]) ).
tcf(c_109397,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109323,c_50,c_20938]) ).
tcf(c_109403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109327,c_50,c_20938]) ).
tcf(c_109411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109326,c_50,c_20938]) ).
tcf(c_109493,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2780]) ).
tcf(c_109494,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_109342,c_27869]) ).
tcf(c_109495,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK1) = sdtasdt0(sK1,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2779]) ).
tcf(c_109496,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK0) = sdtasdt0(sK0,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2778]) ).
tcf(c_109497,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2777]) ).
tcf(c_109498,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_109342,c_13871]) ).
tcf(c_109499,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2776]) ).
tcf(c_109500,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2775]) ).
tcf(c_109501,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2709]) ).
tcf(c_109502,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2705]) ).
tcf(c_109503,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2704]) ).
tcf(c_109504,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK1) = sdtpldt0(sK1,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2703]) ).
tcf(c_109505,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2702]) ).
tcf(c_109506,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2701]) ).
tcf(c_109507,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2700]) ).
tcf(c_109508,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2699]) ).
tcf(c_109509,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_109342,c_79]) ).
tcf(c_109510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_109342,c_78]) ).
tcf(c_109511,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_109342,c_95]) ).
tcf(c_109512,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_109342,c_82]) ).
tcf(c_109513,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_109342,c_152]) ).
tcf(c_109514,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_109342,c_96]) ).
tcf(c_109515,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_109342,c_83]) ).
tcf(c_109516,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sz00,
inference(superposition,[status(thm)],[c_109342,c_94]) ).
tcf(c_109517,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_109342,c_93]) ).
tcf(c_109518,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_109342,c_81]) ).
tcf(c_109519,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_109342,c_80]) ).
tcf(c_109743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108852,c_18291]) ).
tcf(c_109746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_108852,c_91]) ).
tcf(c_109749,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108852,c_142]) ).
tcf(c_109751,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108852,c_87]) ).
tcf(c_109753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108852,c_87]) ).
tcf(c_109756,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_109749,c_103,c_108727]) ).
tcf(c_109757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109746,c_108732,c_103,c_108727]) ).
tcf(c_109762,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109751,c_108732,c_103,c_108727]) ).
tcf(c_109767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109743,c_108732,c_103,c_2614,c_108727]) ).
tcf(c_109774,plain,
( ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_109756,c_106]) ).
tcf(c_109775,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_109756,c_99]) ).
tcf(c_109776,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK3(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_109756,c_102]) ).
tcf(c_109777,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xl,xq)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109775,c_103,c_108727]) ).
tcf(c_109781,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK3(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_109776,c_103,c_108727]) ).
tcf(c_109782,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_109774,c_108732,c_103,c_108727]) ).
tcf(c_109794,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xq) = sdtasdt0(xq,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2781]) ).
tcf(c_109795,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),xq) = sdtasdt0(xq,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2781]) ).
tcf(c_109796,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xq) = sdtasdt0(xq,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2781]) ).
tcf(c_109797,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),xq) = sdtasdt0(xq,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2781]) ).
tcf(c_109798,plain,
sdtasdt0(sz00,xq) = sdtasdt0(xq,sz00),
inference(superposition,[status(thm)],[c_103,c_2781]) ).
tcf(c_109799,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xq) = sdtasdt0(xq,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_2781]) ).
tcf(c_109800,plain,
sdtasdt0(sdtasdt0(xl,xq),xq) = sdtasdt0(xq,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2781]) ).
tcf(c_109801,plain,
sdtasdt0(sdtpldt0(xp,xq),xq) = sdtasdt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2781]) ).
tcf(c_109802,plain,
sdtasdt0(sdtasdt0(xp,sK0),xq) = sdtasdt0(xq,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2781]) ).
tcf(c_109803,plain,
sdtasdt0(sdtasdt0(xp,sK1),xq) = sdtasdt0(xq,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2781]) ).
tcf(c_109804,plain,
sdtasdt0(sdtasdt0(xp,xq),xq) = sdtasdt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2781]) ).
tcf(c_109805,plain,
sdtasdt0(sdtpldt0(xl,xm),xq) = sdtasdt0(xq,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2781]) ).
tcf(c_109806,plain,
sdtasdt0(sdtpldt0(xl,xn),xq) = sdtasdt0(xq,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2781]) ).
tcf(c_109807,plain,
sdtasdt0(sdtpldt0(xl,sK0),xq) = sdtasdt0(xq,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2781]) ).
tcf(c_109808,plain,
sdtasdt0(sdtpldt0(xl,sK1),xq) = sdtasdt0(xq,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2781]) ).
tcf(c_109809,plain,
sdtasdt0(sdtpldt0(xl,xp),xq) = sdtasdt0(xq,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2781]) ).
tcf(c_109810,plain,
sdtasdt0(sdtpldt0(xl,xq),xq) = sdtasdt0(xq,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2781]) ).
tcf(c_109811,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2781]) ).
tcf(c_109812,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2781]) ).
tcf(c_109813,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2781]) ).
tcf(c_109814,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2781]) ).
tcf(c_109815,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2781]) ).
tcf(c_109816,plain,
sdtasdt0(sdtpldt0(xm,sK0),xq) = sdtasdt0(xq,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2781]) ).
tcf(c_109817,plain,
sdtasdt0(sdtpldt0(xm,sK1),xq) = sdtasdt0(xq,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2781]) ).
tcf(c_109818,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2781]) ).
tcf(c_109819,plain,
sdtasdt0(sdtpldt0(xm,xp),xq) = sdtasdt0(xq,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2781]) ).
tcf(c_109820,plain,
sdtasdt0(sdtpldt0(xm,xq),xq) = sdtasdt0(xq,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2781]) ).
tcf(c_109821,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2781]) ).
tcf(c_109822,plain,
sdtasdt0(sdtpldt0(xn,sK0),xq) = sdtasdt0(xq,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2781]) ).
tcf(c_109823,plain,
sdtasdt0(sdtpldt0(xn,sK1),xq) = sdtasdt0(xq,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2781]) ).
tcf(c_109824,plain,
sdtasdt0(sdtpldt0(xn,xp),xq) = sdtasdt0(xq,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2781]) ).
tcf(c_109825,plain,
sdtasdt0(sdtpldt0(xn,xq),xq) = sdtasdt0(xq,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2781]) ).
tcf(c_109826,plain,
sdtasdt0(sdtpldt0(sK0,sK1),xq) = sdtasdt0(xq,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2781]) ).
tcf(c_109827,plain,
sdtasdt0(sdtpldt0(xp,sK0),xq) = sdtasdt0(xq,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2781]) ).
tcf(c_109828,plain,
sdtasdt0(sdtpldt0(xq,sK0),xq) = sdtasdt0(xq,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2781]) ).
tcf(c_109829,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2781]) ).
tcf(c_109830,plain,
sdtasdt0(sdtpldt0(xp,sK1),xq) = sdtasdt0(xq,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2781]) ).
tcf(c_109831,plain,
sdtasdt0(sdtpldt0(xq,sK1),xq) = sdtasdt0(xq,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2781]) ).
tcf(c_109832,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2781]) ).
tcf(c_109833,plain,
sdtasdt0(sdtasdt0(xl,xm),xq) = sdtasdt0(xq,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2781]) ).
tcf(c_109834,plain,
sdtasdt0(sdtasdt0(xl,xn),xq) = sdtasdt0(xq,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2781]) ).
tcf(c_109835,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2781]) ).
tcf(c_109836,plain,
sdtasdt0(sdtasdt0(xm,xn),xq) = sdtasdt0(xq,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2781]) ).
tcf(c_109837,plain,
sdtasdt0(sdtasdt0(xm,sK0),xq) = sdtasdt0(xq,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2781]) ).
tcf(c_109838,plain,
sdtasdt0(sdtasdt0(xm,sK1),xq) = sdtasdt0(xq,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2781]) ).
tcf(c_109839,plain,
sdtasdt0(sdtasdt0(xm,xp),xq) = sdtasdt0(xq,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2781]) ).
tcf(c_109840,plain,
sdtasdt0(sdtasdt0(xm,xq),xq) = sdtasdt0(xq,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2781]) ).
tcf(c_109841,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2781]) ).
tcf(c_109842,plain,
sdtasdt0(sdtasdt0(xn,sK0),xq) = sdtasdt0(xq,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2781]) ).
tcf(c_109843,plain,
sdtasdt0(sdtasdt0(xn,sK1),xq) = sdtasdt0(xq,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2781]) ).
tcf(c_109844,plain,
sdtasdt0(sdtasdt0(xn,xp),xq) = sdtasdt0(xq,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2781]) ).
tcf(c_109845,plain,
sdtasdt0(sdtasdt0(xn,xq),xq) = sdtasdt0(xq,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2781]) ).
tcf(c_109846,plain,
sdtasdt0(sdtasdt0(sK0,sK1),xq) = sdtasdt0(xq,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2781]) ).
tcf(c_109847,plain,
sdtasdt0(sdtasdt0(xq,sK0),xq) = sdtasdt0(xq,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2781]) ).
tcf(c_109848,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2781]) ).
tcf(c_109849,plain,
sdtasdt0(sdtasdt0(xq,sK1),xq) = sdtasdt0(xq,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2781]) ).
tcf(c_109850,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2781]) ).
tcf(c_109851,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2781]) ).
tcf(c_109852,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2781]) ).
tcf(c_109853,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2781]) ).
tcf(c_109854,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2781]) ).
tcf(c_109855,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2781]) ).
tcf(c_109856,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2781]) ).
tcf(c_109857,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2781]) ).
tcf(c_110189,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_2785]) ).
tcf(c_110190,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),sz00) = sdtasdt0(sz00,sK2(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_2785]) ).
tcf(c_110191,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_2785]) ).
tcf(c_110192,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK3(X0,X1),sz00) = sdtasdt0(sz00,sK3(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_2785]) ).
tcf(c_110194,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_105,c_2785]) ).
tcf(c_110195,plain,
sdtasdt0(sdtasdt0(xl,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_2518,c_2785]) ).
tcf(c_110196,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_58661,c_2785]) ).
tcf(c_110197,plain,
sdtasdt0(sdtasdt0(xp,sK0),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sK0)),
inference(superposition,[status(thm)],[c_87416,c_2785]) ).
tcf(c_110198,plain,
sdtasdt0(sdtasdt0(xp,sK1),sz00) = sdtasdt0(sz00,sdtasdt0(xp,sK1)),
inference(superposition,[status(thm)],[c_95516,c_2785]) ).
tcf(c_110199,plain,
sdtasdt0(sdtasdt0(xp,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_104482,c_2785]) ).
tcf(c_110200,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14661,c_2785]) ).
tcf(c_110201,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_14856,c_2785]) ).
tcf(c_110202,plain,
sdtasdt0(sdtpldt0(xl,sK0),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_16168,c_2785]) ).
tcf(c_110203,plain,
sdtasdt0(sdtpldt0(xl,sK1),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_16398,c_2785]) ).
tcf(c_110204,plain,
sdtasdt0(sdtpldt0(xl,xp),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_16905,c_2785]) ).
tcf(c_110205,plain,
sdtasdt0(sdtpldt0(xl,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_17110,c_2785]) ).
tcf(c_110206,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_20938,c_2785]) ).
tcf(c_110207,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_21527,c_2785]) ).
tcf(c_110208,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_22296,c_2785]) ).
tcf(c_110209,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_23228,c_2785]) ).
tcf(c_110210,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_25261,c_2785]) ).
tcf(c_110211,plain,
sdtasdt0(sdtpldt0(xm,sK0),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_26991,c_2785]) ).
tcf(c_110212,plain,
sdtasdt0(sdtpldt0(xm,sK1),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sK1)),
inference(superposition,[status(thm)],[c_27269,c_2785]) ).
tcf(c_110213,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_27911,c_2785]) ).
tcf(c_110214,plain,
sdtasdt0(sdtpldt0(xm,xp),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_28177,c_2785]) ).
tcf(c_110215,plain,
sdtasdt0(sdtpldt0(xm,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_29400,c_2785]) ).
tcf(c_110216,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_30205,c_2785]) ).
tcf(c_110217,plain,
sdtasdt0(sdtpldt0(xn,sK0),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sK0)),
inference(superposition,[status(thm)],[c_40684,c_2785]) ).
tcf(c_110218,plain,
sdtasdt0(sdtpldt0(xn,sK1),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sK1)),
inference(superposition,[status(thm)],[c_41362,c_2785]) ).
tcf(c_110219,plain,
sdtasdt0(sdtpldt0(xn,xp),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_41576,c_2785]) ).
tcf(c_110220,plain,
sdtasdt0(sdtpldt0(xn,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xq)),
inference(superposition,[status(thm)],[c_42683,c_2785]) ).
tcf(c_110221,plain,
sdtasdt0(sdtpldt0(sK0,sK1),sz00) = sdtasdt0(sz00,sdtpldt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_49492,c_2785]) ).
tcf(c_110222,plain,
sdtasdt0(sdtpldt0(xp,sK0),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_49747,c_2785]) ).
tcf(c_110223,plain,
sdtasdt0(sdtpldt0(xq,sK0),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_51000,c_2785]) ).
tcf(c_110224,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_54334,c_2785]) ).
tcf(c_110225,plain,
sdtasdt0(sdtpldt0(xp,sK1),sz00) = sdtasdt0(sz00,sdtpldt0(xp,sK1)),
inference(superposition,[status(thm)],[c_55938,c_2785]) ).
tcf(c_110226,plain,
sdtasdt0(sdtpldt0(xq,sK1),sz00) = sdtasdt0(sz00,sdtpldt0(xq,sK1)),
inference(superposition,[status(thm)],[c_56252,c_2785]) ).
tcf(c_110227,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_60396,c_2785]) ).
tcf(c_110228,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_61931,c_2785]) ).
tcf(c_110229,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_62562,c_2785]) ).
tcf(c_110230,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_68298,c_2785]) ).
tcf(c_110231,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_68944,c_2785]) ).
tcf(c_110232,plain,
sdtasdt0(sdtasdt0(xm,sK0),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sK0)),
inference(superposition,[status(thm)],[c_69208,c_2785]) ).
tcf(c_110233,plain,
sdtasdt0(sdtasdt0(xm,sK1),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sK1)),
inference(superposition,[status(thm)],[c_69923,c_2785]) ).
tcf(c_110234,plain,
sdtasdt0(sdtasdt0(xm,xp),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xp)),
inference(superposition,[status(thm)],[c_71319,c_2785]) ).
tcf(c_110235,plain,
sdtasdt0(sdtasdt0(xm,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xq)),
inference(superposition,[status(thm)],[c_71595,c_2785]) ).
tcf(c_110236,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),
inference(superposition,[status(thm)],[c_78286,c_2785]) ).
tcf(c_110237,plain,
sdtasdt0(sdtasdt0(xn,sK0),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sK0)),
inference(superposition,[status(thm)],[c_80618,c_2785]) ).
tcf(c_110238,plain,
sdtasdt0(sdtasdt0(xn,sK1),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sK1)),
inference(superposition,[status(thm)],[c_80869,c_2785]) ).
tcf(c_110239,plain,
sdtasdt0(sdtasdt0(xn,xp),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_81151,c_2785]) ).
tcf(c_110240,plain,
sdtasdt0(sdtasdt0(xn,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xq)),
inference(superposition,[status(thm)],[c_81668,c_2785]) ).
tcf(c_110241,plain,
sdtasdt0(sdtasdt0(sK0,sK1),sz00) = sdtasdt0(sz00,sdtasdt0(sK0,sK1)),
inference(superposition,[status(thm)],[c_87113,c_2785]) ).
tcf(c_110242,plain,
sdtasdt0(sdtasdt0(xq,sK0),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sK0)),
inference(superposition,[status(thm)],[c_88525,c_2785]) ).
tcf(c_110243,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),
inference(superposition,[status(thm)],[c_88945,c_2785]) ).
tcf(c_110244,plain,
sdtasdt0(sdtasdt0(xq,sK1),sz00) = sdtasdt0(sz00,sdtasdt0(xq,sK1)),
inference(superposition,[status(thm)],[c_95855,c_2785]) ).
tcf(c_110245,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_101594,c_2785]) ).
tcf(c_110246,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_103135,c_2785]) ).
tcf(c_110247,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_103771,c_2785]) ).
tcf(c_110248,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_105278,c_2785]) ).
tcf(c_110249,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_106218,c_2785]) ).
tcf(c_110250,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_107884,c_2785]) ).
tcf(c_110251,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_108727,c_2785]) ).
tcf(c_110252,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),
inference(superposition,[status(thm)],[c_109342,c_2785]) ).
tcf(c_110341,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK2(sdtpldt0(X0,X1),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_3010]) ).
tcf(c_110342,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),sK2(sK2(X0,X1),sK2(X0,X1))) = sK2(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_3010]) ).
tcf(c_110343,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sK2(sdtasdt0(X0,X1),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_3010]) ).
tcf(c_110344,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK3(X0,X1),sK2(sK3(X0,X1),sK3(X0,X1))) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_3010]) ).
tcf(c_110346,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sK2(sdtsldt0(X1,X0),sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_3010]) ).
tcf(c_110358,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sdtpldt0(xl,sdtasdt0(xl,xq)),sdtpldt0(xl,sdtasdt0(xl,xq)))) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_20938,c_3010]) ).
tcf(c_110359,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_21527,c_3010]) ).
tcf(c_110360,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_22296,c_3010]) ).
tcf(c_110361,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK0)),sK2(sdtpldt0(xl,sdtpldt0(xl,sK0)),sdtpldt0(xl,sdtpldt0(xl,sK0)))) = sdtpldt0(xl,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_23228,c_3010]) ).
tcf(c_110362,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sK1)),sK2(sdtpldt0(xl,sdtpldt0(xl,sK1)),sdtpldt0(xl,sdtpldt0(xl,sK1)))) = sdtpldt0(xl,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_25261,c_3010]) ).
tcf(c_110365,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_27911,c_3010]) ).
tcf(c_110368,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_30205,c_3010]) ).
tcf(c_110376,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_54334,c_3010]) ).
tcf(c_110379,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_60396,c_3010]) ).
tcf(c_110382,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_68298,c_3010]) ).
tcf(c_110388,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_78286,c_3010]) ).
tcf(c_110395,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_88945,c_3010]) ).
tcf(c_110397,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK2(sdtpldt0(xm,sdtasdt0(xl,xq)),sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_101594,c_3010]) ).
tcf(c_110398,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK2(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_103135,c_3010]) ).
tcf(c_110399,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK2(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_103771,c_3010]) ).
tcf(c_110400,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK0)),sK2(sdtpldt0(xm,sdtpldt0(xl,sK0)),sdtpldt0(xm,sdtpldt0(xl,sK0)))) = sdtpldt0(xm,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_105278,c_3010]) ).
tcf(c_110401,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sK1)),sK2(sdtpldt0(xm,sdtpldt0(xl,sK1)),sdtpldt0(xm,sdtpldt0(xl,sK1)))) = sdtpldt0(xm,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_106218,c_3010]) ).
tcf(c_110402,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK2(sdtpldt0(xm,sdtpldt0(xl,xp)),sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_107884,c_3010]) ).
tcf(c_110403,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK2(sdtpldt0(xm,sdtpldt0(xl,xq)),sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_108727,c_3010]) ).
tcf(c_110404,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_109342,c_3010]) ).
tcf(c_110440,plain,
sdtsldt0(sdtasdt0(xl,xl),xl) = xl,
inference(superposition,[status(thm)],[c_49,c_3370]) ).
tcf(c_110441,plain,
sdtsldt0(sdtasdt0(xl,xm),xl) = xm,
inference(superposition,[status(thm)],[c_50,c_3370]) ).
tcf(c_110442,plain,
sdtsldt0(sdtasdt0(xl,xn),xl) = xn,
inference(superposition,[status(thm)],[c_51,c_3370]) ).
tcf(c_110443,plain,
sdtsldt0(sdtasdt0(xl,sK0),xl) = sK0,
inference(superposition,[status(thm)],[c_52,c_3370]) ).
tcf(c_110444,plain,
sdtsldt0(sdtasdt0(xl,sK1),xl) = sK1,
inference(superposition,[status(thm)],[c_55,c_3370]) ).
tcf(c_110445,plain,
sdtsldt0(sdtasdt0(xl,xp),xl) = xp,
inference(superposition,[status(thm)],[c_59,c_3370]) ).
tcf(c_110447,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sdtpldt0(X0,X1)),xl) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_3370]) ).
tcf(c_110448,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sK2(X0,X1)),xl) = sK2(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_3370]) ).
tcf(c_110449,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sdtasdt0(X0,X1)),xl) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_3370]) ).
tcf(c_110450,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sK3(X0,X1)),xl) = sK3(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_3370]) ).
tcf(c_110451,plain,
sdtsldt0(sdtasdt0(xl,sz00),xl) = sz00,
inference(superposition,[status(thm)],[c_103,c_3370]) ).
tcf(c_110452,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xl,sdtsldt0(X1,X0)),xl) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_3370]) ).
tcf(c_110453,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xq)),xl) = sdtasdt0(xl,xq),
inference(superposition,[status(thm)],[c_2518,c_3370]) ).
tcf(c_110454,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,xq)),xl) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_58661,c_3370]) ).
tcf(c_110455,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xp,sK0)),xl) = sdtasdt0(xp,sK0),
inference(superposition,[status(thm)],[c_87416,c_3370]) ).
tcf(c_110456,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xp,sK1)),xl) = sdtasdt0(xp,sK1),
inference(superposition,[status(thm)],[c_95516,c_3370]) ).
tcf(c_110457,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xp,xq)),xl) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_104482,c_3370]) ).
tcf(c_110458,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_14661,c_3370]) ).
tcf(c_110459,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_14856,c_3370]) ).
tcf(c_110460,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sK0)),xl) = sdtpldt0(xl,sK0),
inference(superposition,[status(thm)],[c_16168,c_3370]) ).
tcf(c_110461,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sK1)),xl) = sdtpldt0(xl,sK1),
inference(superposition,[status(thm)],[c_16398,c_3370]) ).
tcf(c_110462,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xp)),xl) = sdtpldt0(xl,xp),
inference(superposition,[status(thm)],[c_16905,c_3370]) ).
tcf(c_110463,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xq)),xl) = sdtpldt0(xl,xq),
inference(superposition,[status(thm)],[c_17110,c_3370]) ).
tcf(c_110464,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),xl) = sdtpldt0(xl,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_20938,c_3370]) ).
tcf(c_110465,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_21527,c_3370]) ).
tcf(c_110466,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_22296,c_3370]) ).
tcf(c_110467,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),xl) = sdtpldt0(xl,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_23228,c_3370]) ).
tcf(c_110468,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),xl) = sdtpldt0(xl,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_25261,c_3370]) ).
tcf(c_110469,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sK0)),xl) = sdtpldt0(xm,sK0),
inference(superposition,[status(thm)],[c_26991,c_3370]) ).
tcf(c_110470,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sK1)),xl) = sdtpldt0(xm,sK1),
inference(superposition,[status(thm)],[c_27269,c_3370]) ).
tcf(c_110471,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xl) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_27911,c_3370]) ).
tcf(c_110472,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xp)),xl) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_28177,c_3370]) ).
tcf(c_110473,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xq)),xl) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_29400,c_3370]) ).
tcf(c_110474,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xl) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_30205,c_3370]) ).
tcf(c_110475,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sK0)),xl) = sdtpldt0(xn,sK0),
inference(superposition,[status(thm)],[c_40684,c_3370]) ).
tcf(c_110476,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sK1)),xl) = sdtpldt0(xn,sK1),
inference(superposition,[status(thm)],[c_41362,c_3370]) ).
tcf(c_110477,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,xp)),xl) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_41576,c_3370]) ).
tcf(c_110478,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,xq)),xl) = sdtpldt0(xn,xq),
inference(superposition,[status(thm)],[c_42683,c_3370]) ).
tcf(c_110479,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sK0,sK1)),xl) = sdtpldt0(sK0,sK1),
inference(superposition,[status(thm)],[c_49492,c_3370]) ).
tcf(c_110480,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,sK0)),xl) = sdtpldt0(xp,sK0),
inference(superposition,[status(thm)],[c_49747,c_3370]) ).
tcf(c_110481,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xq,sK0)),xl) = sdtpldt0(xq,sK0),
inference(superposition,[status(thm)],[c_51000,c_3370]) ).
tcf(c_110482,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_54334,c_3370]) ).
tcf(c_110483,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,sK1)),xl) = sdtpldt0(xp,sK1),
inference(superposition,[status(thm)],[c_55938,c_3370]) ).
tcf(c_110484,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xq,sK1)),xl) = sdtpldt0(xq,sK1),
inference(superposition,[status(thm)],[c_56252,c_3370]) ).
tcf(c_110485,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_60396,c_3370]) ).
tcf(c_110486,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_61931,c_3370]) ).
tcf(c_110487,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_62562,c_3370]) ).
tcf(c_110488,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_68298,c_3370]) ).
tcf(c_110489,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xl) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_68944,c_3370]) ).
tcf(c_110490,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,sK0)),xl) = sdtasdt0(xm,sK0),
inference(superposition,[status(thm)],[c_69208,c_3370]) ).
tcf(c_110491,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,sK1)),xl) = sdtasdt0(xm,sK1),
inference(superposition,[status(thm)],[c_69923,c_3370]) ).
tcf(c_110492,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xp)),xl) = sdtasdt0(xm,xp),
inference(superposition,[status(thm)],[c_71319,c_3370]) ).
tcf(c_110493,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xq)),xl) = sdtasdt0(xm,xq),
inference(superposition,[status(thm)],[c_71595,c_3370]) ).
tcf(c_110494,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK0))),
inference(superposition,[status(thm)],[c_78286,c_3370]) ).
tcf(c_110495,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,sK0)),xl) = sdtasdt0(xn,sK0),
inference(superposition,[status(thm)],[c_80618,c_3370]) ).
tcf(c_110496,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,sK1)),xl) = sdtasdt0(xn,sK1),
inference(superposition,[status(thm)],[c_80869,c_3370]) ).
tcf(c_110497,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,xp)),xl) = sdtasdt0(xn,xp),
inference(superposition,[status(thm)],[c_81151,c_3370]) ).
tcf(c_110498,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,xq)),xl) = sdtasdt0(xn,xq),
inference(superposition,[status(thm)],[c_81668,c_3370]) ).
tcf(c_110499,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(sK0,sK1)),xl) = sdtasdt0(sK0,sK1),
inference(superposition,[status(thm)],[c_87113,c_3370]) ).
tcf(c_110500,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xq,sK0)),xl) = sdtasdt0(xq,sK0),
inference(superposition,[status(thm)],[c_88525,c_3370]) ).
tcf(c_110501,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sK1))),
inference(superposition,[status(thm)],[c_88945,c_3370]) ).
tcf(c_110502,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xq,sK1)),xl) = sdtasdt0(xq,sK1),
inference(superposition,[status(thm)],[c_95855,c_3370]) ).
tcf(c_110503,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xq))),xl) = sdtpldt0(xm,sdtasdt0(xl,xq)),
inference(superposition,[status(thm)],[c_101594,c_3370]) ).
tcf(c_110504,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),xl) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_103135,c_3370]) ).
tcf(c_110505,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),xl) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_103771,c_3370]) ).
tcf(c_110506,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sK0))),xl) = sdtpldt0(xm,sdtpldt0(xl,sK0)),
inference(superposition,[status(thm)],[c_105278,c_3370]) ).
tcf(c_110507,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sK1))),xl) = sdtpldt0(xm,sdtpldt0(xl,sK1)),
inference(superposition,[status(thm)],[c_106218,c_3370]) ).
tcf(c_110508,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xp))),xl) = sdtpldt0(xm,sdtpldt0(xl,xp)),
inference(superposition,[status(thm)],[c_107884,c_3370]) ).
tcf(c_110509,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xq))),xl) = sdtpldt0(xm,sdtpldt0(xl,xq)),
inference(superposition,[status(thm)],[c_108727,c_3370]) ).
tcf(c_110510,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),
inference(superposition,[status(thm)],[c_109342,c_3370]) ).
tcf(c_110513,plain,
sK1 = xq,
inference(light_normalisation,[status(thm)],[c_110444,c_533,c_535]) ).
tcf(c_110514,plain,
sK0 = xp,
inference(light_normalisation,[status(thm)],[c_110443,c_53,c_61]) ).
tcf(c_110543,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_90029,c_110513]) ).
tcf(c_110544,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),xm) ),
inference(demodulation,[status(thm)],[c_101953,c_110513]) ).
tcf(c_110546,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),xp) ),
inference(demodulation,[status(thm)],[c_101051,c_110513]) ).
tcf(c_110547,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xq,xq) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_100658,c_110513]) ).
tcf(c_110549,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(demodulation,[status(thm)],[c_101078,c_110513]) ).
tcf(c_110550,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,xq))
| sdtlseqdt0(sdtasdt0(sK0,xq),xm) ),
inference(demodulation,[status(thm)],[c_100196,c_110513]) ).
tcf(c_110552,plain,
sdtlseqdt0(sdtasdt0(xq,xq),sdtasdt0(xq,xq)),
inference(demodulation,[status(thm)],[c_101050,c_110513]) ).
tcf(c_110553,plain,
sdtpldt0(sdtasdt0(xq,xq),sz00) = sdtasdt0(xq,xq),
inference(demodulation,[status(thm)],[c_95964,c_110513]) ).
tcf(c_110554,plain,
sdtlseqdt0(sz00,sdtasdt0(xq,xq)),
inference(demodulation,[status(thm)],[c_100628,c_110513]) ).
tcf(c_110555,plain,
sdtpldt0(sz00,sdtasdt0(xq,xq)) = sdtasdt0(xq,xq),
inference(demodulation,[status(thm)],[c_95963,c_110513]) ).
tcf(c_110558,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,xq))
| sdtlseqdt0(sdtasdt0(sK0,xq),xp) ),
inference(demodulation,[status(thm)],[c_93084,c_110513]) ).
tcf(c_110565,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sz00 = xq ) ),
inference(demodulation,[status(thm)],[c_95857,c_110513]) ).
tcf(c_110568,plain,
doDivides0(sdtasdt0(xq,xq),sz00),
inference(demodulation,[status(thm)],[c_97173,c_110513]) ).
tcf(c_110569,plain,
sdtasdt0(sdtasdt0(xq,xq),sz00) = sz00,
inference(demodulation,[status(thm)],[c_95962,c_110513]) ).
tcf(c_110570,plain,
sdtasdt0(sz00,sdtasdt0(xq,xq)) = sz00,
inference(demodulation,[status(thm)],[c_95961,c_110513]) ).
tcf(c_110573,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(demodulation,[status(thm)],[c_95902,c_110513]) ).
tcf(c_110576,plain,
doDivides0(xq,sdtasdt0(xq,xq)),
inference(demodulation,[status(thm)],[c_95856,c_110513]) ).
tcf(c_110577,plain,
aNaturalNumber0(sdtasdt0(xq,xq)),
inference(demodulation,[status(thm)],[c_95855,c_110513]) ).
tcf(c_110585,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(sK0,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(sK0,xq) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_92817,c_110513]) ).
tcf(c_110586,plain,
( sdtlseqdt0(sdtasdt0(sK0,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,xq),sz00) ),
inference(demodulation,[status(thm)],[c_93111,c_110513]) ).
tcf(c_110587,plain,
sdtlseqdt0(sdtasdt0(sK0,xq),sdtasdt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_93083,c_110513]) ).
tcf(c_110588,plain,
sdtpldt0(sdtasdt0(sK0,xq),sz00) = sdtasdt0(sK0,xq),
inference(demodulation,[status(thm)],[c_87267,c_110513]) ).
tcf(c_110589,plain,
sdtlseqdt0(sz00,sdtasdt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_92787,c_110513]) ).
tcf(c_110590,plain,
sdtpldt0(sz00,sdtasdt0(sK0,xq)) = sdtasdt0(sK0,xq),
inference(demodulation,[status(thm)],[c_87266,c_110513]) ).
tcf(c_110593,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sz00),
inference(demodulation,[status(thm)],[c_90540,c_110513]) ).
tcf(c_110594,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(demodulation,[status(thm)],[c_89999,c_110513]) ).
tcf(c_110596,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(demodulation,[status(thm)],[c_88984,c_110513]) ).
tcf(c_110597,plain,
( sdtlseqdt0(xq,sdtasdt0(sK0,xq))
| ( sK0 = sz00 ) ),
inference(demodulation,[status(thm)],[c_87115,c_110513]) ).
tcf(c_110598,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(demodulation,[status(thm)],[c_88945,c_110513]) ).
tcf(c_110600,plain,
doDivides0(sdtasdt0(sK0,xq),sz00),
inference(demodulation,[status(thm)],[c_88801,c_110513]) ).
tcf(c_110601,plain,
sdtasdt0(sdtasdt0(sK0,xq),sz00) = sz00,
inference(demodulation,[status(thm)],[c_87265,c_110513]) ).
tcf(c_110602,plain,
sdtasdt0(sz00,sdtasdt0(sK0,xq)) = sz00,
inference(demodulation,[status(thm)],[c_87264,c_110513]) ).
tcf(c_110603,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(sK0,xq),sz00) ),
inference(demodulation,[status(thm)],[c_87160,c_110513]) ).
tcf(c_110604,plain,
doDivides0(xq,sdtasdt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_87114,c_110513]) ).
tcf(c_110605,plain,
aNaturalNumber0(sdtasdt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_87113,c_110513]) ).
tcf(c_110619,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xq,xq) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_57956,c_110513]) ).
tcf(c_110621,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sK0,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(sK0,xq) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_53168,c_110513]) ).
tcf(c_110639,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,xq))
| sdtlseqdt0(sdtpldt0(sK0,xq),xm) ),
inference(demodulation,[status(thm)],[c_65317,c_110513]) ).
tcf(c_110659,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(demodulation,[status(thm)],[c_58367,c_110513]) ).
tcf(c_110660,plain,
( sdtlseqdt0(sdtpldt0(sK0,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,xq),sz00) ),
inference(demodulation,[status(thm)],[c_53592,c_110513]) ).
tcf(c_110662,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(demodulation,[status(thm)],[c_56296,c_110513]) ).
tcf(c_110666,plain,
sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(xq,xq)),
inference(demodulation,[status(thm)],[c_58339,c_110513]) ).
tcf(c_110667,plain,
sdtpldt0(sdtpldt0(xq,xq),sz00) = sdtpldt0(xq,xq),
inference(demodulation,[status(thm)],[c_56429,c_110513]) ).
tcf(c_110668,plain,
sdtlseqdt0(sz00,sdtpldt0(xq,xq)),
inference(demodulation,[status(thm)],[c_57926,c_110513]) ).
tcf(c_110669,plain,
sdtpldt0(sz00,sdtpldt0(xq,xq)) = sdtpldt0(xq,xq),
inference(demodulation,[status(thm)],[c_56428,c_110513]) ).
tcf(c_110670,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sK0,xq),sz00) ),
inference(demodulation,[status(thm)],[c_49536,c_110513]) ).
tcf(c_110671,plain,
( sdtlseqdt0(xq,sdtpldt0(sK0,xq))
| sdtlseqdt0(sdtpldt0(sK0,xq),xp) ),
inference(demodulation,[status(thm)],[c_53565,c_110513]) ).
tcf(c_110676,plain,
doDivides0(sdtpldt0(xq,xq),sz00),
inference(demodulation,[status(thm)],[c_57160,c_110513]) ).
tcf(c_110678,plain,
sdtasdt0(sdtpldt0(xq,xq),sz00) = sz00,
inference(demodulation,[status(thm)],[c_56427,c_110513]) ).
tcf(c_110679,plain,
sdtasdt0(sz00,sdtpldt0(xq,xq)) = sz00,
inference(demodulation,[status(thm)],[c_56426,c_110513]) ).
tcf(c_110685,plain,
sdtlseqdt0(xq,sdtpldt0(xq,xq)),
inference(demodulation,[status(thm)],[c_56253,c_110513]) ).
tcf(c_110686,plain,
aNaturalNumber0(sdtpldt0(xq,xq)),
inference(demodulation,[status(thm)],[c_56252,c_110513]) ).
tcf(c_110693,plain,
sdtlseqdt0(sdtpldt0(sK0,xq),sdtpldt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_53564,c_110513]) ).
tcf(c_110694,plain,
sdtpldt0(sdtpldt0(sK0,xq),sz00) = sdtpldt0(sK0,xq),
inference(demodulation,[status(thm)],[c_49627,c_110513]) ).
tcf(c_110695,plain,
sdtlseqdt0(sz00,sdtpldt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_53138,c_110513]) ).
tcf(c_110696,plain,
sdtpldt0(sz00,sdtpldt0(sK0,xq)) = sdtpldt0(sK0,xq),
inference(demodulation,[status(thm)],[c_49626,c_110513]) ).
tcf(c_110697,plain,
doDivides0(sdtpldt0(sK0,xq),sz00),
inference(demodulation,[status(thm)],[c_51381,c_110513]) ).
tcf(c_110698,plain,
sdtasdt0(sdtpldt0(sK0,xq),sz00) = sz00,
inference(demodulation,[status(thm)],[c_49625,c_110513]) ).
tcf(c_110699,plain,
sdtasdt0(sz00,sdtpldt0(sK0,xq)) = sz00,
inference(demodulation,[status(thm)],[c_49624,c_110513]) ).
tcf(c_110701,plain,
sdtlseqdt0(xq,sdtpldt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_49493,c_110513]) ).
tcf(c_110702,plain,
aNaturalNumber0(sdtpldt0(sK0,xq)),
inference(demodulation,[status(thm)],[c_49492,c_110513]) ).
tcf(c_110748,plain,
( ( sz00 = xq )
| ( sdtpldt0(xl,sK2(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) ) ),
inference(demodulation,[status(thm)],[c_11796,c_110513]) ).
tcf(c_110760,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sz00 = xq ) ),
inference(demodulation,[status(thm)],[c_2938,c_110513]) ).
tcf(c_110780,plain,
sdtlseqdt0(xq,sdtpldt0(xq,sK0)),
inference(light_normalisation,[status(thm)],[c_110701,c_49425]) ).
tcf(c_110789,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK0),sz00) ),
inference(light_normalisation,[status(thm)],[c_110670,c_49425]) ).
tcf(c_110810,plain,
doDivides0(xq,sdtasdt0(xq,sK0)),
inference(light_normalisation,[status(thm)],[c_110604,c_86652]) ).
tcf(c_110811,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,sK0),sz00) ),
inference(light_normalisation,[status(thm)],[c_110603,c_86652]) ).
tcf(c_110820,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,sK0))
| ( sK0 = sz00 ) ),
inference(light_normalisation,[status(thm)],[c_110597,c_86652]) ).
tcf(c_110867,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_79669,c_110514]) ).
tcf(c_110868,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xp),xm) ),
inference(demodulation,[status(thm)],[c_101138,c_110514]) ).
tcf(c_110869,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xm) ),
inference(demodulation,[status(thm)],[c_100310,c_110514]) ).
tcf(c_110870,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xp),xp) ),
inference(demodulation,[status(thm)],[c_94476,c_110514]) ).
tcf(c_110871,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp) ),
inference(demodulation,[status(thm)],[c_94018,c_110514]) ).
tcf(c_110874,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xq,xp) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_94154,c_110514]) ).
tcf(c_110875,plain,
( sdtlseqdt0(sdtasdt0(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xp),sz00) ),
inference(demodulation,[status(thm)],[c_94503,c_110514]) ).
tcf(c_110876,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(demodulation,[status(thm)],[c_94045,c_110514]) ).
tcf(c_110878,plain,
sdtlseqdt0(sdtasdt0(xq,xp),sdtasdt0(xq,xp)),
inference(demodulation,[status(thm)],[c_94475,c_110514]) ).
tcf(c_110879,plain,
sdtpldt0(sdtasdt0(xq,xp),sz00) = sdtasdt0(xq,xp),
inference(demodulation,[status(thm)],[c_88633,c_110514]) ).
tcf(c_110880,plain,
sdtlseqdt0(sz00,sdtasdt0(xq,xp)),
inference(demodulation,[status(thm)],[c_94124,c_110514]) ).
tcf(c_110881,plain,
sdtpldt0(sz00,sdtasdt0(xq,xp)) = sdtasdt0(xq,xp),
inference(demodulation,[status(thm)],[c_88632,c_110514]) ).
tcf(c_110882,plain,
sdtlseqdt0(sdtasdt0(xp,xp),sdtasdt0(xp,xp)),
inference(demodulation,[status(thm)],[c_94017,c_110514]) ).
tcf(c_110883,plain,
sdtpldt0(sdtasdt0(xp,xp),sz00) = sdtasdt0(xp,xp),
inference(demodulation,[status(thm)],[c_87840,c_110514]) ).
tcf(c_110884,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,xp) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_93378,c_110514]) ).
tcf(c_110885,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xp)),
inference(demodulation,[status(thm)],[c_93348,c_110514]) ).
tcf(c_110886,plain,
sdtpldt0(sz00,sdtasdt0(xp,xp)) = sdtasdt0(xp,xp),
inference(demodulation,[status(thm)],[c_87839,c_110514]) ).
tcf(c_110890,plain,
( sdtlseqdt0(xp,sdtasdt0(xq,xp))
| ( sz00 = xq ) ),
inference(demodulation,[status(thm)],[c_88527,c_110514]) ).
tcf(c_110891,plain,
sdtlseqdt0(xp,sdtasdt0(xp,xp)),
inference(demodulation,[status(thm)],[c_90545,c_110514]) ).
tcf(c_110892,plain,
doDivides0(sdtasdt0(xq,xp),sz00),
inference(demodulation,[status(thm)],[c_89272,c_110514]) ).
tcf(c_110893,plain,
sdtasdt0(sdtasdt0(xq,xp),sz00) = sz00,
inference(demodulation,[status(thm)],[c_88631,c_110514]) ).
tcf(c_110894,plain,
sdtasdt0(sz00,sdtasdt0(xq,xp)) = sz00,
inference(demodulation,[status(thm)],[c_88630,c_110514]) ).
tcf(c_110895,plain,
doDivides0(sdtasdt0(xp,xp),sz00),
inference(demodulation,[status(thm)],[c_89171,c_110514]) ).
tcf(c_110896,plain,
sdtasdt0(sdtasdt0(xp,xp),sz00) = sz00,
inference(demodulation,[status(thm)],[c_87838,c_110514]) ).
tcf(c_110897,plain,
sdtasdt0(sz00,sdtasdt0(xp,xp)) = sz00,
inference(demodulation,[status(thm)],[c_87837,c_110514]) ).
tcf(c_110898,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xp),sz00) ),
inference(demodulation,[status(thm)],[c_88572,c_110514]) ).
tcf(c_110899,plain,
doDivides0(xp,sdtasdt0(xq,xp)),
inference(demodulation,[status(thm)],[c_88526,c_110514]) ).
tcf(c_110900,plain,
aNaturalNumber0(sdtasdt0(xq,xp)),
inference(demodulation,[status(thm)],[c_88525,c_110514]) ).
tcf(c_110902,plain,
doDivides0(xp,sdtasdt0(xp,xp)),
inference(demodulation,[status(thm)],[c_87417,c_110514]) ).
tcf(c_110903,plain,
aNaturalNumber0(sdtasdt0(xp,xp)),
inference(demodulation,[status(thm)],[c_87416,c_110514]) ).
tcf(c_110904,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(demodulation,[status(thm)],[c_87700,c_110514]) ).
tcf(c_110916,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xq,xp) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_54954,c_110514]) ).
tcf(c_110917,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,xp) != sK2(xq,xp) ) ),
inference(demodulation,[status(thm)],[c_53759,c_110514]) ).
tcf(c_110930,plain,
~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00),
inference(demodulation,[status(thm)],[c_79945,c_110514]) ).
tcf(c_110931,plain,
sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(demodulation,[status(thm)],[c_79639,c_110514]) ).
tcf(c_110934,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(demodulation,[status(thm)],[c_78325,c_110514]) ).
tcf(c_110935,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(demodulation,[status(thm)],[c_78286,c_110514]) ).
tcf(c_110945,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),xm) ),
inference(demodulation,[status(thm)],[c_65314,c_110514]) ).
tcf(c_110967,plain,
( sdtlseqdt0(sdtpldt0(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xp),sz00) ),
inference(demodulation,[status(thm)],[c_55424,c_110514]) ).
tcf(c_110972,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xp),sz00) ),
inference(demodulation,[status(thm)],[c_51044,c_110514]) ).
tcf(c_110973,plain,
~ sdtlseqdt0(sdtpldt0(xp,xp),sz00),
inference(demodulation,[status(thm)],[c_58819,c_110514]) ).
tcf(c_110974,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),xp) ),
inference(demodulation,[status(thm)],[c_54782,c_110514]) ).
tcf(c_110976,plain,
sdtlseqdt0(sdtpldt0(xq,xp),sdtpldt0(xq,xp)),
inference(demodulation,[status(thm)],[c_55396,c_110514]) ).
tcf(c_110977,plain,
sdtpldt0(sdtpldt0(xq,xp),sz00) = sdtpldt0(xq,xp),
inference(demodulation,[status(thm)],[c_51184,c_110514]) ).
tcf(c_110978,plain,
sdtlseqdt0(sz00,sdtpldt0(xq,xp)),
inference(demodulation,[status(thm)],[c_54924,c_110514]) ).
tcf(c_110979,plain,
sdtpldt0(sz00,sdtpldt0(xq,xp)) = sdtpldt0(xq,xp),
inference(demodulation,[status(thm)],[c_51183,c_110514]) ).
tcf(c_110980,plain,
sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(xp,xp)),
inference(demodulation,[status(thm)],[c_54781,c_110514]) ).
tcf(c_110981,plain,
sdtpldt0(sdtpldt0(xp,xp),sz00) = sdtpldt0(xp,xp),
inference(demodulation,[status(thm)],[c_49875,c_110514]) ).
tcf(c_110982,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xp)),
inference(demodulation,[status(thm)],[c_53729,c_110514]) ).
tcf(c_110983,plain,
sdtpldt0(sz00,sdtpldt0(xp,xp)) = sdtpldt0(xp,xp),
inference(demodulation,[status(thm)],[c_49874,c_110514]) ).
tcf(c_110985,plain,
doDivides0(sdtpldt0(xq,xp),sz00),
inference(demodulation,[status(thm)],[c_52522,c_110514]) ).
tcf(c_110986,plain,
sdtasdt0(sdtpldt0(xq,xp),sz00) = sz00,
inference(demodulation,[status(thm)],[c_51182,c_110514]) ).
tcf(c_110988,plain,
sdtasdt0(sz00,sdtpldt0(xq,xp)) = sz00,
inference(demodulation,[status(thm)],[c_51181,c_110514]) ).
tcf(c_110989,plain,
doDivides0(sdtpldt0(xp,xp),sz00),
inference(demodulation,[status(thm)],[c_52306,c_110514]) ).
tcf(c_110990,plain,
sdtasdt0(sdtpldt0(xp,xp),sz00) = sz00,
inference(demodulation,[status(thm)],[c_49873,c_110514]) ).
tcf(c_110991,plain,
sdtasdt0(sz00,sdtpldt0(xp,xp)) = sz00,
inference(demodulation,[status(thm)],[c_49872,c_110514]) ).
tcf(c_110992,plain,
sdtlseqdt0(xp,sdtpldt0(xq,xp)),
inference(demodulation,[status(thm)],[c_51001,c_110514]) ).
tcf(c_110993,plain,
aNaturalNumber0(sdtpldt0(xq,xp)),
inference(demodulation,[status(thm)],[c_51000,c_110514]) ).
tcf(c_110995,plain,
sdtlseqdt0(xp,sdtpldt0(xp,xp)),
inference(demodulation,[status(thm)],[c_49748,c_110514]) ).
tcf(c_110996,plain,
aNaturalNumber0(sdtpldt0(xp,xp)),
inference(demodulation,[status(thm)],[c_49747,c_110514]) ).
tcf(c_111069,plain,
sdtlseqdt0(xp,sdtpldt0(xp,xq)),
inference(light_normalisation,[status(thm)],[c_110992,c_58458]) ).
tcf(c_111079,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_110972,c_58458]) ).
tcf(c_111097,plain,
doDivides0(xp,sdtasdt0(xp,xq)),
inference(light_normalisation,[status(thm)],[c_110899,c_104271]) ).
tcf(c_111098,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_110898,c_104271]) ).
tcf(c_111107,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,xq))
| ( sz00 = xq ) ),
inference(light_normalisation,[status(thm)],[c_110890,c_104271]) ).
tcf(c_111126,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| sdtlseqdt0(sdtasdt0(xp,xq),xp) ),
inference(light_normalisation,[status(thm)],[c_110870,c_104271]) ).
tcf(c_111129,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xq))
| sdtlseqdt0(sdtasdt0(xp,xq),xm) ),
inference(light_normalisation,[status(thm)],[c_110868,c_104271]) ).
tcf(c_111143,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_70294,c_109381]) ).
tcf(c_111144,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_11984,c_109381]) ).
tcf(c_111146,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_108,c_109381]) ).
tcf(c_111149,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))) ),
inference(light_normalisation,[status(thm)],[c_111143,c_2464]) ).
tcf(c_111164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_70]) ).
tcf(c_111165,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_75560]) ).
tcf(c_111166,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_75392]) ).
tcf(c_111167,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_26880,c_24035]) ).
tcf(c_111168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_26880,c_17825]) ).
tcf(c_111169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_26880,c_17392]) ).
tcf(c_111170,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(superposition,[status(thm)],[c_26880,c_14477]) ).
tcf(c_111171,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_5155]) ).
tcf(c_111174,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_26880,c_75]) ).
tcf(c_111176,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_145]) ).
tcf(c_111177,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_84]) ).
tcf(c_111178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(superposition,[status(thm)],[c_26880,c_70]) ).
tcf(c_111179,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(superposition,[status(thm)],[c_26880,c_76]) ).
tcf(c_111180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_68]) ).
tcf(c_111181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_68]) ).
tcf(c_111182,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_26880,c_98]) ).
tcf(c_111183,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26880,c_77]) ).
tcf(c_111184,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_111177,c_50,c_21527]) ).
tcf(c_111185,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_111176,c_50,c_21527]) ).
tcf(c_111186,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_111174,c_11841,c_50,c_21527]) ).
tcf(c_111187,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111171,c_50,c_21527]) ).
tcf(c_111190,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111183,c_50,c_21527]) ).
tcf(c_111194,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111182,c_50,c_21527]) ).
tcf(c_111199,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111179,c_50,c_21527]) ).
tcf(c_111203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111181,c_50,c_21527]) ).
tcf(c_111208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111180,c_50,c_21527]) ).
tcf(c_111213,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111166,c_50,c_21527]) ).
tcf(c_111218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111178,c_50,c_21527]) ).
tcf(c_111223,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111170,c_50,c_21527]) ).
tcf(c_111228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111164,c_50,c_21527]) ).
tcf(c_111233,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111167,c_50,c_21527]) ).
tcf(c_111239,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111165,c_50,c_21527]) ).
tcf(c_111245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111169,c_50,c_21527]) ).
tcf(c_111253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111168,c_50,c_21527]) ).
tcf(c_111268,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xq,xq)),xl) = sdtasdt0(xq,xq),
inference(superposition,[status(thm)],[c_110577,c_3370]) ).
tcf(c_111269,plain,
sdtpldt0(sdtasdt0(xq,xq),sK2(sdtasdt0(xq,xq),sdtasdt0(xq,xq))) = sdtasdt0(xq,xq),
inference(superposition,[status(thm)],[c_110577,c_3010]) ).
tcf(c_111270,plain,
sdtasdt0(sdtasdt0(xq,xq),sz00) = sdtasdt0(sz00,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2785]) ).
tcf(c_111271,plain,
sdtasdt0(sdtasdt0(xq,xq),xq) = sdtasdt0(xq,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2781]) ).
tcf(c_111272,plain,
sdtasdt0(sdtasdt0(xq,xq),xp) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2780]) ).
tcf(c_111273,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq) )
| ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xq,xq)),sK2(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_110577,c_27869]) ).
tcf(c_111274,plain,
sdtasdt0(sdtasdt0(xq,xq),xn) = sdtasdt0(xn,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2777]) ).
tcf(c_111275,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq) )
| ( sdtpldt0(sdtasdt0(xq,xq),sK2(sdtasdt0(xq,xq),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110577,c_13871]) ).
tcf(c_111276,plain,
sdtasdt0(sdtasdt0(xq,xq),xm) = sdtasdt0(xm,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2776]) ).
tcf(c_111277,plain,
sdtasdt0(sdtasdt0(xq,xq),xl) = sdtasdt0(xl,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2775]) ).
tcf(c_111278,plain,
sdtpldt0(sdtasdt0(xq,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2709]) ).
tcf(c_111279,plain,
sdtpldt0(sdtasdt0(xq,xq),xq) = sdtpldt0(xq,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2705]) ).
tcf(c_111280,plain,
sdtpldt0(sdtasdt0(xq,xq),xp) = sdtpldt0(xp,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2704]) ).
tcf(c_111281,plain,
sdtpldt0(sdtasdt0(xq,xq),xn) = sdtpldt0(xn,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2701]) ).
tcf(c_111282,plain,
sdtpldt0(sdtasdt0(xq,xq),xm) = sdtpldt0(xm,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2700]) ).
tcf(c_111283,plain,
sdtpldt0(sdtasdt0(xq,xq),xl) = sdtpldt0(xl,sdtasdt0(xq,xq)),
inference(superposition,[status(thm)],[c_110577,c_2699]) ).
tcf(c_111284,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xq,xq)),sdtasdt0(X0,sdtasdt0(xq,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xq,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110577,c_79]) ).
tcf(c_111285,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xq),X1),sdtasdt0(sdtasdt0(xq,xq),X0)) = sdtasdt0(sdtasdt0(xq,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110577,c_78]) ).
tcf(c_111286,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,xq),X1),X0) = sdtasdt0(sdtasdt0(xq,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110577,c_95]) ).
tcf(c_111287,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,xq),X1),X0) = sdtpldt0(sdtasdt0(xq,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110577,c_82]) ).
tcf(c_111288,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xq,xq),X0),sdtasdt0(xq,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110577,c_152]) ).
tcf(c_111289,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,xq),X0) = sdtasdt0(X0,sdtasdt0(xq,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110577,c_96]) ).
tcf(c_111290,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,xq),X0) = sdtpldt0(X0,sdtasdt0(xq,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110577,c_83]) ).
tcf(c_111330,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xq,xq)),xl) = sdtpldt0(xq,xq),
inference(superposition,[status(thm)],[c_110686,c_3370]) ).
tcf(c_111331,plain,
sdtpldt0(sdtpldt0(xq,xq),sK2(sdtpldt0(xq,xq),sdtpldt0(xq,xq))) = sdtpldt0(xq,xq),
inference(superposition,[status(thm)],[c_110686,c_3010]) ).
tcf(c_111332,plain,
sdtasdt0(sdtpldt0(xq,xq),sz00) = sdtasdt0(sz00,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2785]) ).
tcf(c_111333,plain,
sdtasdt0(sdtpldt0(xq,xq),xq) = sdtasdt0(xq,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2781]) ).
tcf(c_111334,plain,
sdtasdt0(sdtpldt0(xq,xq),xp) = sdtasdt0(xp,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2780]) ).
tcf(c_111335,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,xq))) = sdtpldt0(xq,xq) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xq,xq)),sK2(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_110686,c_27869]) ).
tcf(c_111336,plain,
sdtasdt0(sdtpldt0(xq,xq),xn) = sdtasdt0(xn,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2777]) ).
tcf(c_111337,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,xq))) = sdtpldt0(xq,xq) )
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sdtpldt0(xq,xq),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110686,c_13871]) ).
tcf(c_111338,plain,
sdtasdt0(sdtpldt0(xq,xq),xm) = sdtasdt0(xm,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2776]) ).
tcf(c_111339,plain,
sdtasdt0(sdtpldt0(xq,xq),xl) = sdtasdt0(xl,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2775]) ).
tcf(c_111340,plain,
sdtpldt0(sdtpldt0(xq,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2709]) ).
tcf(c_111341,plain,
sdtpldt0(sdtpldt0(xq,xq),xq) = sdtpldt0(xq,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2705]) ).
tcf(c_111342,plain,
sdtpldt0(sdtpldt0(xq,xq),xp) = sdtpldt0(xp,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2704]) ).
tcf(c_111343,plain,
sdtpldt0(sdtpldt0(xq,xq),xn) = sdtpldt0(xn,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2701]) ).
tcf(c_111344,plain,
sdtpldt0(sdtpldt0(xq,xq),xm) = sdtpldt0(xm,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2700]) ).
tcf(c_111345,plain,
sdtpldt0(sdtpldt0(xq,xq),xl) = sdtpldt0(xl,sdtpldt0(xq,xq)),
inference(superposition,[status(thm)],[c_110686,c_2699]) ).
tcf(c_111346,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xq,xq)),sdtasdt0(X0,sdtpldt0(xq,xq))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xq,xq)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110686,c_79]) ).
tcf(c_111347,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xq),X1),sdtasdt0(sdtpldt0(xq,xq),X0)) = sdtasdt0(sdtpldt0(xq,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110686,c_78]) ).
tcf(c_111348,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,xq),X1),X0) = sdtasdt0(sdtpldt0(xq,xq),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110686,c_95]) ).
tcf(c_111349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,xq),X1),X0) = sdtpldt0(sdtpldt0(xq,xq),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110686,c_82]) ).
tcf(c_111350,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xq) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xq,xq),X0),sdtpldt0(xq,xq)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110686,c_152]) ).
tcf(c_111351,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xq),X0) = sdtasdt0(X0,sdtpldt0(xq,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110686,c_96]) ).
tcf(c_111352,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xq),X0) = sdtpldt0(X0,sdtpldt0(xq,xq)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110686,c_83]) ).
tcf(c_111392,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xp,xp)),xl) = sdtasdt0(xp,xp),
inference(superposition,[status(thm)],[c_110903,c_3370]) ).
tcf(c_111393,plain,
sdtpldt0(sdtasdt0(xp,xp),sK2(sdtasdt0(xp,xp),sdtasdt0(xp,xp))) = sdtasdt0(xp,xp),
inference(superposition,[status(thm)],[c_110903,c_3010]) ).
tcf(c_111394,plain,
sdtasdt0(sdtasdt0(xp,xp),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2785]) ).
tcf(c_111395,plain,
sdtasdt0(sdtasdt0(xp,xp),xq) = sdtasdt0(xq,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2781]) ).
tcf(c_111396,plain,
sdtasdt0(sdtasdt0(xp,xp),xp) = sdtasdt0(xp,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2780]) ).
tcf(c_111397,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp) )
| ( sdtpldt0(sdtpldt0(xq,sdtasdt0(xp,xp)),sK2(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_110903,c_27869]) ).
tcf(c_111398,plain,
sdtasdt0(sdtasdt0(xp,xp),xn) = sdtasdt0(xn,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2777]) ).
tcf(c_111399,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp) )
| ( sdtpldt0(sdtasdt0(xp,xp),sK2(sdtasdt0(xp,xp),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110903,c_13871]) ).
tcf(c_111400,plain,
sdtasdt0(sdtasdt0(xp,xp),xm) = sdtasdt0(xm,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2776]) ).
tcf(c_111401,plain,
sdtasdt0(sdtasdt0(xp,xp),xl) = sdtasdt0(xl,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2775]) ).
tcf(c_111402,plain,
sdtpldt0(sdtasdt0(xp,xp),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2709]) ).
tcf(c_111403,plain,
sdtpldt0(sdtasdt0(xp,xp),xq) = sdtpldt0(xq,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2705]) ).
tcf(c_111404,plain,
sdtpldt0(sdtasdt0(xp,xp),xp) = sdtpldt0(xp,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2704]) ).
tcf(c_111405,plain,
sdtpldt0(sdtasdt0(xp,xp),xn) = sdtpldt0(xn,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2701]) ).
tcf(c_111406,plain,
sdtpldt0(sdtasdt0(xp,xp),xm) = sdtpldt0(xm,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2700]) ).
tcf(c_111407,plain,
sdtpldt0(sdtasdt0(xp,xp),xl) = sdtpldt0(xl,sdtasdt0(xp,xp)),
inference(superposition,[status(thm)],[c_110903,c_2699]) ).
tcf(c_111408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xp,xp)),sdtasdt0(X0,sdtasdt0(xp,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xp,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110903,c_79]) ).
tcf(c_111409,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xp),X1),sdtasdt0(sdtasdt0(xp,xp),X0)) = sdtasdt0(sdtasdt0(xp,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110903,c_78]) ).
tcf(c_111410,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xp),X1),X0) = sdtasdt0(sdtasdt0(xp,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110903,c_95]) ).
tcf(c_111411,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xp),X1),X0) = sdtpldt0(sdtasdt0(xp,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110903,c_82]) ).
tcf(c_111412,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xp),X0),sdtasdt0(xp,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110903,c_152]) ).
tcf(c_111413,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xp),X0) = sdtasdt0(X0,sdtasdt0(xp,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110903,c_96]) ).
tcf(c_111414,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xp),X0) = sdtpldt0(X0,sdtasdt0(xp,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110903,c_83]) ).
tcf(c_111454,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xp,xp)),xl) = sdtpldt0(xp,xp),
inference(superposition,[status(thm)],[c_110996,c_3370]) ).
tcf(c_111455,plain,
sdtpldt0(sdtpldt0(xp,xp),sK2(sdtpldt0(xp,xp),sdtpldt0(xp,xp))) = sdtpldt0(xp,xp),
inference(superposition,[status(thm)],[c_110996,c_3010]) ).
tcf(c_111456,plain,
sdtasdt0(sdtpldt0(xp,xp),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2785]) ).
tcf(c_111457,plain,
sdtasdt0(sdtpldt0(xp,xp),xq) = sdtasdt0(xq,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2781]) ).
tcf(c_111458,plain,
sdtasdt0(sdtpldt0(xp,xp),xp) = sdtasdt0(xp,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2780]) ).
tcf(c_111459,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xp,xp)),sK2(sdtpldt0(xq,sdtpldt0(xp,xp)),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_110996,c_27869]) ).
tcf(c_111460,plain,
sdtasdt0(sdtpldt0(xp,xp),xn) = sdtasdt0(xn,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2777]) ).
tcf(c_111461,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp) )
| ( sdtpldt0(sdtpldt0(xp,xp),sK2(sdtpldt0(xp,xp),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110996,c_13871]) ).
tcf(c_111462,plain,
sdtasdt0(sdtpldt0(xp,xp),xm) = sdtasdt0(xm,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2776]) ).
tcf(c_111463,plain,
sdtasdt0(sdtpldt0(xp,xp),xl) = sdtasdt0(xl,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2775]) ).
tcf(c_111464,plain,
sdtpldt0(sdtpldt0(xp,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2709]) ).
tcf(c_111465,plain,
sdtpldt0(sdtpldt0(xp,xp),xq) = sdtpldt0(xq,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2705]) ).
tcf(c_111466,plain,
sdtpldt0(sdtpldt0(xp,xp),xp) = sdtpldt0(xp,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2704]) ).
tcf(c_111467,plain,
sdtpldt0(sdtpldt0(xp,xp),xn) = sdtpldt0(xn,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2701]) ).
tcf(c_111468,plain,
sdtpldt0(sdtpldt0(xp,xp),xm) = sdtpldt0(xm,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2700]) ).
tcf(c_111469,plain,
sdtpldt0(sdtpldt0(xp,xp),xl) = sdtpldt0(xl,sdtpldt0(xp,xp)),
inference(superposition,[status(thm)],[c_110996,c_2699]) ).
tcf(c_111470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,xp)),sdtasdt0(X0,sdtpldt0(xp,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110996,c_79]) ).
tcf(c_111471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xp),X1),sdtasdt0(sdtpldt0(xp,xp),X0)) = sdtasdt0(sdtpldt0(xp,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110996,c_78]) ).
tcf(c_111472,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xp),X1),X0) = sdtasdt0(sdtpldt0(xp,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110996,c_95]) ).
tcf(c_111473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xp),X1),X0) = sdtpldt0(sdtpldt0(xp,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110996,c_82]) ).
tcf(c_111474,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xp),X0),sdtpldt0(xp,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110996,c_152]) ).
tcf(c_111475,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xp),X0) = sdtasdt0(X0,sdtpldt0(xp,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110996,c_96]) ).
tcf(c_111476,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xp),X0) = sdtpldt0(X0,sdtpldt0(xp,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110996,c_83]) ).
tcf(c_111516,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110554,c_109]) ).
tcf(c_111519,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110554,c_8700]) ).
tcf(c_111521,plain,
( ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110554,c_110]) ).
tcf(c_111522,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110554,c_73]) ).
tcf(c_111523,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_111522,c_103,c_110577]) ).
tcf(c_111524,plain,
( ( sdtasdt0(xq,xq) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111521,c_103,c_110577]) ).
tcf(c_111527,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111516,c_103,c_110577]) ).
tcf(c_111531,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111519,c_103,c_110577]) ).
tcf(c_111536,plain,
( ( sdtasdt0(xq,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,xq),sdtsldt0(sz00,sdtasdt0(xq,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110568,c_106]) ).
tcf(c_111537,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xq,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110568,c_99]) ).
tcf(c_111538,plain,
( ( sdtasdt0(sdtasdt0(xq,xq),sK3(sdtasdt0(xq,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110568,c_102]) ).
tcf(c_111539,plain,
sdtasdt0(sdtasdt0(xq,xq),sK3(sdtasdt0(xq,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_111538,c_103,c_110577]) ).
tcf(c_111540,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xq,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111537,c_103,c_110577]) ).
tcf(c_111544,plain,
( ( sdtasdt0(xq,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xq,xq),sdtsldt0(sz00,sdtasdt0(xq,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111536,c_103,c_110577]) ).
tcf(c_111547,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xq,xq),xq)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110576,c_106]) ).
tcf(c_111548,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ doDivides0(sdtasdt0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_110576,c_99]) ).
tcf(c_111549,plain,
( ( sdtasdt0(xq,sK3(xq,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110576,c_102]) ).
tcf(c_111550,plain,
sdtasdt0(xq,sK3(xq,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_111549,c_62,c_110577]) ).
tcf(c_111551,plain,
! [X0: $i] :
( doDivides0(xq,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111548,c_62,c_110577]) ).
tcf(c_111555,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sdtasdt0(xq,xq),xq)) = sdtasdt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111547,c_62,c_110577]) ).
tcf(c_111569,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_70294,c_111223]) ).
tcf(c_111570,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_11984,c_111223]) ).
tcf(c_111572,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(superposition,[status(thm)],[c_108,c_111223]) ).
tcf(c_111575,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) ),
inference(light_normalisation,[status(thm)],[c_111569,c_2464]) ).
tcf(c_111576,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_28428,c_62,c_11614,c_28428]) ).
tcf(c_111594,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2464,c_111576]) ).
tcf(c_111596,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00) ),
inference(superposition,[status(thm)],[c_65673,c_111576]) ).
tcf(c_111598,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xn,xq),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_39902,c_111576]) ).
tcf(c_111601,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xl,xq),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17331,c_111576]) ).
tcf(c_111602,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xp)
| sdtlseqdt0(X0,X2)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_111576,c_109]) ).
tcf(c_111603,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_111576,c_12741]) ).
tcf(c_111605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_111576,c_8700]) ).
tcf(c_111607,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(xq,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,X1)) ),
inference(superposition,[status(thm)],[c_111576,c_110]) ).
tcf(c_111608,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_111576,c_73]) ).
tcf(c_111627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_111576,c_10288]) ).
tcf(c_111628,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_111576,c_45702]) ).
tcf(c_111629,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111576,c_41840]) ).
tcf(c_111642,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sdtpldt0(xq,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111576,c_45030]) ).
tcf(c_111648,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111594,c_103,c_2614]) ).
tcf(c_111654,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xn,xq),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111598,c_51]) ).
tcf(c_111718,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111628,c_62]) ).
tcf(c_111778,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_111605,c_62,c_11614,c_111605]) ).
tcf(c_111794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(X0,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_31387,c_109]) ).
tcf(c_111795,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,sdtpldt0(xl,xq)))) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_31387,c_12741]) ).
tcf(c_111797,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_31387,c_8700]) ).
tcf(c_111799,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_31387,c_110]) ).
tcf(c_111800,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,sdtpldt0(xl,xq)))) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_31387,c_73]) ).
tcf(c_111802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(X0,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111794,c_103]) ).
tcf(c_111812,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111799,c_103]) ).
tcf(c_111837,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_65275]) ).
tcf(c_111838,plain,
( sdtlseqdt0(xq,sK2(sz00,sz00))
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3036,c_65275]) ).
tcf(c_111839,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_65275]) ).
tcf(c_111841,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_65275]) ).
tcf(c_111845,plain,
( sdtlseqdt0(xq,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_65275]) ).
tcf(c_111846,plain,
( sdtlseqdt0(xq,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_65275]) ).
tcf(c_111847,plain,
( sdtlseqdt0(xq,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_65275]) ).
tcf(c_111848,plain,
( sdtlseqdt0(xq,sK2(sz00,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_65275]) ).
tcf(c_111849,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xq,sK2(sz00,xq))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_65275]) ).
tcf(c_111850,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_65275]) ).
tcf(c_111852,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_65275]) ).
tcf(c_111853,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_65275]) ).
tcf(c_111854,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_65275]) ).
tcf(c_111856,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_65275]) ).
tcf(c_111857,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_65275]) ).
tcf(c_111859,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_65275]) ).
tcf(c_111860,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_65275]) ).
tcf(c_111861,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_65275]) ).
tcf(c_111862,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_65275]) ).
tcf(c_111863,plain,
( sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_65275]) ).
tcf(c_111864,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_65275]) ).
tcf(c_111866,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_65275]) ).
tcf(c_111869,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_65275]) ).
tcf(c_111870,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_65275]) ).
tcf(c_111871,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_65275]) ).
tcf(c_111872,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_65275]) ).
tcf(c_111874,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_65275]) ).
tcf(c_111875,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_65275]) ).
tcf(c_111876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_109]) ).
tcf(c_111881,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_110]) ).
tcf(c_111882,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_73]) ).
tcf(c_111883,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_26045]) ).
tcf(c_111884,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_8679]) ).
tcf(c_111885,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_109]) ).
tcf(c_111886,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_12741]) ).
tcf(c_111887,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_11962]) ).
tcf(c_111888,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_8700]) ).
tcf(c_111889,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_3979]) ).
tcf(c_111890,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_65275,c_110]) ).
tcf(c_111891,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_73]) ).
tcf(c_111892,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_5863]) ).
tcf(c_111894,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_65275,c_20184]) ).
tcf(c_111895,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111841,c_51]) ).
tcf(c_111946,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111875,c_81668]) ).
tcf(c_111953,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111874,c_81151]) ).
tcf(c_111960,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111872,c_71319]) ).
tcf(c_111967,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111871,c_68944]) ).
tcf(c_111974,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111870,c_62562]) ).
tcf(c_111981,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111869,c_61931]) ).
tcf(c_111988,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111866,c_41576]) ).
tcf(c_111995,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111864,c_28177]) ).
tcf(c_112002,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111854,c_16905]) ).
tcf(c_112009,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111853,c_14856]) ).
tcf(c_112016,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111852,c_14661]) ).
tcf(c_112023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111876,c_50]) ).
tcf(c_112033,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_111884,c_2471]) ).
tcf(c_112034,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112033,c_50]) ).
tcf(c_112043,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111882,c_50]) ).
tcf(c_112051,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111881,c_50]) ).
tcf(c_112105,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111861,c_22296]) ).
tcf(c_112112,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111860,c_21527]) ).
tcf(c_112119,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_111857,c_20938]) ).
tcf(c_112136,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_111883,c_2471]) ).
tcf(c_112213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_70]) ).
tcf(c_112214,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_75560]) ).
tcf(c_112215,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_75392]) ).
tcf(c_112216,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_26881,c_24035]) ).
tcf(c_112217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_26881,c_17825]) ).
tcf(c_112218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_26881,c_17392]) ).
tcf(c_112219,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(superposition,[status(thm)],[c_26881,c_14477]) ).
tcf(c_112220,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_5155]) ).
tcf(c_112223,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_26881,c_75]) ).
tcf(c_112225,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_145]) ).
tcf(c_112226,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_84]) ).
tcf(c_112227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(superposition,[status(thm)],[c_26881,c_70]) ).
tcf(c_112228,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(superposition,[status(thm)],[c_26881,c_76]) ).
tcf(c_112229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_68]) ).
tcf(c_112230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_68]) ).
tcf(c_112231,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_26881,c_98]) ).
tcf(c_112232,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_26881,c_77]) ).
tcf(c_112233,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_112226,c_50,c_22296]) ).
tcf(c_112234,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(forward_subsumption_resolution,[status(thm)],[c_112225,c_50,c_22296]) ).
tcf(c_112235,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_112223,c_11841,c_50,c_22296]) ).
tcf(c_112236,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112220,c_50,c_22296]) ).
tcf(c_112239,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112232,c_50,c_22296]) ).
tcf(c_112243,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112231,c_50,c_22296]) ).
tcf(c_112248,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112228,c_50,c_22296]) ).
tcf(c_112252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112230,c_50,c_22296]) ).
tcf(c_112257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112229,c_50,c_22296]) ).
tcf(c_112262,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112215,c_50,c_22296]) ).
tcf(c_112267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112227,c_50,c_22296]) ).
tcf(c_112272,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112219,c_50,c_22296]) ).
tcf(c_112277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112213,c_50,c_22296]) ).
tcf(c_112282,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112216,c_50,c_22296]) ).
tcf(c_112288,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112214,c_50,c_22296]) ).
tcf(c_112294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112218,c_50,c_22296]) ).
tcf(c_112302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112217,c_50,c_22296]) ).
tcf(c_112317,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110668,c_109]) ).
tcf(c_112320,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110668,c_8700]) ).
tcf(c_112322,plain,
( ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110668,c_110]) ).
tcf(c_112323,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,xq))) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110668,c_73]) ).
tcf(c_112325,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,xq))) = sdtpldt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_112323,c_103,c_110686]) ).
tcf(c_112326,plain,
( ( sdtpldt0(xq,xq) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112322,c_103,c_110686]) ).
tcf(c_112329,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112317,c_103,c_110686]) ).
tcf(c_112333,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112320,c_103,c_110686]) ).
tcf(c_112338,plain,
( ( sdtpldt0(xq,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,xq),sdtsldt0(sz00,sdtpldt0(xq,xq))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110676,c_106]) ).
tcf(c_112339,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,xq),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110676,c_99]) ).
tcf(c_112340,plain,
( ( sdtasdt0(sdtpldt0(xq,xq),sK3(sdtpldt0(xq,xq),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110676,c_102]) ).
tcf(c_112341,plain,
sdtasdt0(sdtpldt0(xq,xq),sK3(sdtpldt0(xq,xq),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_112340,c_103,c_110686]) ).
tcf(c_112342,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xq,xq),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112339,c_103,c_110686]) ).
tcf(c_112346,plain,
( ( sdtpldt0(xq,xq) = sz00 )
| ( sdtasdt0(sdtpldt0(xq,xq),sdtsldt0(sz00,sdtpldt0(xq,xq))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112338,c_103,c_110686]) ).
tcf(c_112349,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110685,c_109]) ).
tcf(c_112352,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110685,c_8700]) ).
tcf(c_112354,plain,
( ( sdtpldt0(xq,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),xq) ),
inference(superposition,[status(thm)],[c_110685,c_110]) ).
tcf(c_112355,plain,
( ( sdtpldt0(xq,sK2(xq,sdtpldt0(xq,xq))) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110685,c_73]) ).
tcf(c_112357,plain,
sdtpldt0(xq,sK2(xq,sdtpldt0(xq,xq))) = sdtpldt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_112355,c_62,c_110686]) ).
tcf(c_112358,plain,
( ( sdtpldt0(xq,xq) = xq )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112354,c_62,c_110686]) ).
tcf(c_112361,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112349,c_62,c_110686]) ).
tcf(c_112368,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110885,c_109]) ).
tcf(c_112371,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110885,c_8700]) ).
tcf(c_112373,plain,
( ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110885,c_110]) ).
tcf(c_112374,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110885,c_73]) ).
tcf(c_112375,plain,
sdtpldt0(sz00,sK2(sz00,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_112374,c_103,c_110903]) ).
tcf(c_112376,plain,
( ( sdtasdt0(xp,xp) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112373,c_103,c_110903]) ).
tcf(c_112379,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112368,c_103,c_110903]) ).
tcf(c_112383,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112371,c_103,c_110903]) ).
tcf(c_112388,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110891,c_109]) ).
tcf(c_112391,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110891,c_8700]) ).
tcf(c_112393,plain,
( ( sdtasdt0(xp,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),xp) ),
inference(superposition,[status(thm)],[c_110891,c_110]) ).
tcf(c_112394,plain,
( ( sdtpldt0(xp,sK2(xp,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110891,c_73]) ).
tcf(c_112395,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| ( sdtasdt0(xp,xp) = xp )
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110891,c_3965]) ).
tcf(c_112396,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| ( sdtasdt0(xp,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112395,c_110903]) ).
tcf(c_112399,plain,
sdtpldt0(xp,sK2(xp,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_112394,c_59,c_110903]) ).
tcf(c_112400,plain,
( ( sdtasdt0(xp,xp) = xp )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112393,c_59,c_110903]) ).
tcf(c_112403,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112388,c_59,c_110903]) ).
tcf(c_112408,plain,
( ( sdtasdt0(xp,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xp),sdtsldt0(sz00,sdtasdt0(xp,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110895,c_106]) ).
tcf(c_112409,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110895,c_99]) ).
tcf(c_112410,plain,
( ( sdtasdt0(sdtasdt0(xp,xp),sK3(sdtasdt0(xp,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110895,c_102]) ).
tcf(c_112411,plain,
sdtasdt0(sdtasdt0(xp,xp),sK3(sdtasdt0(xp,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_112410,c_103,c_110903]) ).
tcf(c_112412,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112409,c_103,c_110903]) ).
tcf(c_112416,plain,
( ( sdtasdt0(xp,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xp),sdtsldt0(sz00,sdtasdt0(xp,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112408,c_103,c_110903]) ).
tcf(c_112425,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_111894,c_8631,c_111894]) ).
tcf(c_112426,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_112425]) ).
tcf(c_112436,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_70294,c_112272]) ).
tcf(c_112437,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_11984,c_112272]) ).
tcf(c_112439,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(superposition,[status(thm)],[c_108,c_112272]) ).
tcf(c_112442,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) ),
inference(light_normalisation,[status(thm)],[c_112436,c_2464]) ).
tcf(c_112443,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_65716,c_62,c_11614,c_65716]) ).
tcf(c_112458,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_72,c_112443]) ).
tcf(c_112459,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112458,c_62,c_59,c_2649]) ).
tcf(c_112483,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_112459]) ).
tcf(c_112484,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_112459]) ).
tcf(c_112486,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_112459]) ).
tcf(c_112487,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2614,c_112459]) ).
tcf(c_112492,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_27721,c_112459]) ).
tcf(c_112501,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sdtpldt0(xq,xq),xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_112459]) ).
tcf(c_112503,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_112459]) ).
tcf(c_112504,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_112459]) ).
tcf(c_112505,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_112459]) ).
tcf(c_112509,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112486,c_103]) ).
tcf(c_112516,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sdtpldt0(xq,xq),xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112501,c_62,c_103]) ).
tcf(c_112524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112484,c_103]) ).
tcf(c_112532,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_112483,c_2464]) ).
tcf(c_112533,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_112505,c_2465]) ).
tcf(c_112534,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112533,c_103]) ).
tcf(c_112551,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_112509,c_109]) ).
tcf(c_112552,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_112509,c_12741]) ).
tcf(c_112554,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_112509,c_8700]) ).
tcf(c_112556,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_112509,c_110]) ).
tcf(c_112557,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112509,c_73]) ).
tcf(c_112563,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112509,c_27876]) ).
tcf(c_112564,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112509,c_13877]) ).
tcf(c_112578,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_41840]) ).
tcf(c_112580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_45030]) ).
tcf(c_112581,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112557,c_103]) ).
tcf(c_112589,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112551,c_103]) ).
tcf(c_112600,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112578,c_103]) ).
tcf(c_112610,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sdtpldt0(xq,sdtpldt0(sz00,X0)),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112580,c_103]) ).
tcf(c_112622,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xp,xp),xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110902,c_106]) ).
tcf(c_112623,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ doDivides0(sdtasdt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_110902,c_99]) ).
tcf(c_112624,plain,
( ( sdtasdt0(xp,sK3(xp,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110902,c_102]) ).
tcf(c_112625,plain,
sdtasdt0(xp,sK3(xp,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_112624,c_59,c_110903]) ).
tcf(c_112626,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112623,c_59,c_110903]) ).
tcf(c_112630,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xp,xp),xp)) = sdtasdt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112622,c_59,c_110903]) ).
tcf(c_112633,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110982,c_109]) ).
tcf(c_112639,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110982,c_73]) ).
tcf(c_112640,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_112639,c_103,c_110996]) ).
tcf(c_112641,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112633,c_103,c_110996]) ).
tcf(c_112645,plain,
( ( sdtpldt0(xp,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xp),sdtsldt0(sz00,sdtpldt0(xp,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110989,c_106]) ).
tcf(c_112646,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110989,c_99]) ).
tcf(c_112647,plain,
( ( sdtasdt0(sdtpldt0(xp,xp),sK3(sdtpldt0(xp,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110989,c_102]) ).
tcf(c_112648,plain,
sdtasdt0(sdtpldt0(xp,xp),sK3(sdtpldt0(xp,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_112647,c_103,c_110996]) ).
tcf(c_112649,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112646,c_103,c_110996]) ).
tcf(c_112653,plain,
( ( sdtpldt0(xp,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xp),sdtsldt0(sz00,sdtpldt0(xp,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112645,c_103,c_110996]) ).
tcf(c_112656,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110995,c_109]) ).
tcf(c_112661,plain,
( ( sdtpldt0(xp,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xp),xp) ),
inference(superposition,[status(thm)],[c_110995,c_110]) ).
tcf(c_112662,plain,
( ( sdtpldt0(xp,sK2(xp,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110995,c_73]) ).
tcf(c_112663,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = xp )
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110995,c_3965]) ).
tcf(c_112664,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112663,c_110996]) ).
tcf(c_112667,plain,
sdtpldt0(xp,sK2(xp,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_112662,c_59,c_110996]) ).
tcf(c_112668,plain,
( ( sdtpldt0(xp,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xp,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112661,c_59,c_110996]) ).
tcf(c_112671,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112656,c_59,c_110996]) ).
tcf(c_112675,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_111069,c_109]) ).
tcf(c_112680,plain,
( ( sdtpldt0(xp,xq) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xp) ),
inference(superposition,[status(thm)],[c_111069,c_110]) ).
tcf(c_112681,plain,
( ( sdtpldt0(xp,sK2(xp,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_111069,c_73]) ).
tcf(c_112683,plain,
sdtpldt0(xp,sK2(xp,sdtpldt0(xp,xq))) = sdtpldt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_112681,c_59,c_58661]) ).
tcf(c_112684,plain,
( ( sdtpldt0(xp,xq) = xp )
| ~ sdtlseqdt0(sdtpldt0(xp,xq),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112680,c_59,c_58661]) ).
tcf(c_112687,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112675,c_59,c_58661]) ).
tcf(c_112691,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xp,xq),xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_111097,c_106]) ).
tcf(c_112692,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ doDivides0(sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_111097,c_99]) ).
tcf(c_112693,plain,
( ( sdtasdt0(xp,sK3(xp,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_111097,c_102]) ).
tcf(c_112694,plain,
sdtasdt0(xp,sK3(xp,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_112693,c_59,c_104482]) ).
tcf(c_112695,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112692,c_59,c_104482]) ).
tcf(c_112699,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xp,xq),xp)) = sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112691,c_59,c_104482]) ).
tcf(c_112710,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110552,c_8700]) ).
tcf(c_112736,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(X0,X1)),sK2(sdtpldt0(xq,sdtpldt0(X0,X1)),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_112581]) ).
tcf(c_112737,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(X0,X1))) = sK2(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sK2(X0,X1)),sK2(sdtpldt0(xq,sK2(X0,X1)),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_112581]) ).
tcf(c_112738,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sdtasdt0(X0,X1)),sK2(sdtpldt0(xq,sdtasdt0(X0,X1)),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_112581]) ).
tcf(c_112739,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK3(X0,X1) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK3(X0,X1))) = sK3(X0,X1) )
| ( sdtpldt0(sdtpldt0(xq,sK3(X0,X1)),sK2(sdtpldt0(xq,sK3(X0,X1)),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_112581]) ).
tcf(c_112741,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(X1,X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ( sdtpldt0(sdtpldt0(xq,sdtsldt0(X1,X0)),sK2(sdtpldt0(xq,sdtsldt0(X1,X0)),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_112581]) ).
tcf(c_112753,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_27911,c_112581]) ).
tcf(c_112756,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_30205,c_112581]) ).
tcf(c_112760,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_54334,c_112581]) ).
tcf(c_112761,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_60396,c_112581]) ).
tcf(c_112764,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_68298,c_112581]) ).
tcf(c_112771,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtasdt0(xl,xq)))) = sdtpldt0(xm,sdtasdt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtasdt0(xl,xq))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_101594,c_112581]) ).
tcf(c_112772,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,xm)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xm))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_103135,c_112581]) ).
tcf(c_112773,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,xn)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xn))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_103771,c_112581]) ).
tcf(c_112775,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xp))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_107884,c_112581]) ).
tcf(c_112776,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,xq))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_108727,c_112581]) ).
tcf(c_112777,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_109342,c_112581]) ).
tcf(c_112876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_112589]) ).
tcf(c_112877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_112589]) ).
tcf(c_112879,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_112589]) ).
tcf(c_112885,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112509,c_112589]) ).
tcf(c_112886,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27721,c_112589]) ).
tcf(c_112889,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11447,c_112589]) ).
tcf(c_112895,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4095,c_112589]) ).
tcf(c_112896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_6346,c_112589]) ).
tcf(c_112897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_70294,c_112589]) ).
tcf(c_112898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_11984,c_112589]) ).
tcf(c_112899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_112589]) ).
tcf(c_112901,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112879,c_103]) ).
tcf(c_112909,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_112896,c_2464]) ).
tcf(c_112910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112895,c_62,c_103]) ).
tcf(c_112919,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112889,c_103]) ).
tcf(c_112928,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112898,c_103]) ).
tcf(c_112938,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112877,c_103]) ).
tcf(c_112948,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_112876,c_2464]) ).
tcf(c_112949,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X1),sK2(sdtpldt0(xq,X1),xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112897,c_103]) ).
tcf(c_112960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_112899,c_2465]) ).
tcf(c_112961,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112960,c_103]) ).
tcf(c_112970,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xq,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_65724,c_62,c_11614,c_65724]) ).
tcf(c_112991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_108,c_112970]) ).
tcf(c_112992,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_40027,c_112970]) ).
tcf(c_112993,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sz00) = xm )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(xm,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_2464,c_112970]) ).
tcf(c_112997,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sdtpldt0(xq,xn) = xm )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_39902,c_112970]) ).
tcf(c_113000,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xq))) = xm )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_17331,c_112970]) ).
tcf(c_113001,plain,
( ( xm = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(xm,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_112993,c_2464]) ).
tcf(c_113002,plain,
( ( xm = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xm,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113001,c_103,c_2614]) ).
tcf(c_113007,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sdtpldt0(xn,xq) = xm )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xn,xq)) ),
inference(light_normalisation,[status(thm)],[c_112997,c_39902]) ).
tcf(c_113008,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sdtpldt0(xn,xq) = xm )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113007,c_51]) ).
tcf(c_113015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112991,c_50]) ).
tcf(c_113024,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = xm )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_113000,c_17331]) ).
tcf(c_113032,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xm )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112992,c_62,c_50]) ).
tcf(c_113060,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_68,c_65733]) ).
tcf(c_113061,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xm)
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_70,c_65733]) ).
tcf(c_113064,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_65733]) ).
tcf(c_113065,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_11984,c_65733]) ).
tcf(c_113066,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_4095,c_65733]) ).
tcf(c_113067,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(sdtpldt0(xq,X0),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_108,c_65733]) ).
tcf(c_113086,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_6346,c_65733]) ).
tcf(c_113092,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_65733]) ).
tcf(c_113093,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,X0)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_65733]) ).
tcf(c_113094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(superposition,[status(thm)],[c_111576,c_65733]) ).
tcf(c_113104,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_65733]) ).
tcf(c_113107,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,sz00)) ),
inference(superposition,[status(thm)],[c_2464,c_65733]) ).
tcf(c_113111,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(superposition,[status(thm)],[c_39902,c_65733]) ).
tcf(c_113114,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xq)))) ),
inference(superposition,[status(thm)],[c_17331,c_65733]) ).
tcf(c_113115,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_113107,c_2464]) ).
tcf(c_113116,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113115,c_62,c_103,c_2614]) ).
tcf(c_113131,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(light_normalisation,[status(thm)],[c_113111,c_39902]) ).
tcf(c_113132,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113131,c_51,c_42683]) ).
tcf(c_113180,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xm)
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113061,c_62]) ).
tcf(c_113192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( X0 = X1 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X1))
| ~ aNaturalNumber0(sdtpldt0(xq,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113060,c_62]) ).
tcf(c_113204,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_113114,c_17331]) ).
tcf(c_113205,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113204,c_17110]) ).
tcf(c_113226,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113092,c_62]) ).
tcf(c_113245,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113104,c_62]) ).
tcf(c_113259,plain,
! [X0: $i] :
( ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(X0)
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 )
| ( X0 = sz00 )
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xm),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_105681,c_61221,c_65774,c_105681]) ).
tcf(c_113260,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xm),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm)) ),
inference(renaming,[status(thm)],[c_113259]) ).
tcf(c_113275,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK2(xq,xm),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_113260,c_109]) ).
tcf(c_113276,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(xq,xm),X0))) = sdtasdt0(sK2(xq,xm),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_113260,c_12741]) ).
tcf(c_113277,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xm),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_113260,c_11962]) ).
tcf(c_113278,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xm),X0),sz00) ),
inference(superposition,[status(thm)],[c_113260,c_8700]) ).
tcf(c_113280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xm),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xm),X0),sz00) ),
inference(superposition,[status(thm)],[c_113260,c_110]) ).
tcf(c_113281,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(xq,xm),X0))) = sdtasdt0(sK2(xq,xm),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_113260,c_73]) ).
tcf(c_113283,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xm),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113278,c_103]) ).
tcf(c_113293,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK2(xq,xm),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113275,c_103]) ).
tcf(c_113304,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(xq,xm),X0))) = sdtasdt0(sK2(xq,xm),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113281,c_103]) ).
tcf(c_113313,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xm),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xm),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113280,c_103]) ).
tcf(c_113325,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_110594,c_109]) ).
tcf(c_113331,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_110594,c_73]) ).
tcf(c_113332,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113325,c_103,c_30205]) ).
tcf(c_113336,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_113331,c_103,c_30205]) ).
tcf(c_113340,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110666,c_8700]) ).
tcf(c_113344,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xm)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110666,c_65733]) ).
tcf(c_113345,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110666,c_10288]) ).
tcf(c_113348,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xm)
| ( sK2(xq,xp) = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113344,c_62,c_110686]) ).
tcf(c_113357,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110882,c_8700]) ).
tcf(c_113362,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_110931,c_109]) ).
tcf(c_113368,plain,
( ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_110931,c_73]) ).
tcf(c_113369,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113362,c_103,c_27911]) ).
tcf(c_113373,plain,
sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_113368,c_103,c_27911]) ).
tcf(c_113393,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12203,c_97]) ).
tcf(c_113412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_113393,c_109]) ).
tcf(c_113413,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(xq,xp),X0))) = sdtasdt0(sK2(xq,xp),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_113393,c_12741]) ).
tcf(c_113415,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_113393,c_8700]) ).
tcf(c_113417,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_113393,c_110]) ).
tcf(c_113418,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtasdt0(sK2(xq,xp),X0))) = sdtasdt0(sK2(xq,xp),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_113393,c_73]) ).
tcf(c_113419,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113415,c_103]) ).
tcf(c_113428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK2(xq,xp),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113412,c_103]) ).
tcf(c_113439,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113417,c_103]) ).
tcf(c_113465,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_109]) ).
tcf(c_113466,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xl))) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_12741]) ).
tcf(c_113467,plain,
( sdtlseqdt0(sz00,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_11962]) ).
tcf(c_113468,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_8700]) ).
tcf(c_113470,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xl),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_110]) ).
tcf(c_113471,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,xl))) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_73]) ).
tcf(c_113533,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_109]) ).
tcf(c_113534,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xm))) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_12741]) ).
tcf(c_113535,plain,
( sdtlseqdt0(sz00,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_11962]) ).
tcf(c_113536,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_8700]) ).
tcf(c_113538,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xm),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_110]) ).
tcf(c_113539,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,xm))) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_73]) ).
tcf(c_113596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110569,c_18291]) ).
tcf(c_113599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtasdt0(sdtasdt0(xq,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_110569,c_91]) ).
tcf(c_113604,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110569,c_87]) ).
tcf(c_113606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110569,c_87]) ).
tcf(c_113609,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xq,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113599,c_103,c_110577]) ).
tcf(c_113614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113606,c_103,c_110577]) ).
tcf(c_113620,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xq,xq),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113604,c_103,c_110577]) ).
tcf(c_113626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113596,c_103,c_2614,c_110577]) ).
tcf(c_113634,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110570,c_89]) ).
tcf(c_113639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110570,c_18982]) ).
tcf(c_113641,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110570,c_15630]) ).
tcf(c_113651,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtasdt0(X0,sdtasdt0(xq,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_110570,c_92]) ).
tcf(c_113652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110570,c_89]) ).
tcf(c_113653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xq,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113651,c_103,c_110577]) ).
tcf(c_113658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113652,c_103,c_110577]) ).
tcf(c_113664,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xq,xq)))
| ( X0 = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113634,c_103,c_110577]) ).
tcf(c_113670,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113641,c_103,c_2614,c_110577]) ).
tcf(c_113675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113639,c_103,c_2614,c_110577]) ).
tcf(c_113688,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_110598,c_112581]) ).
tcf(c_113689,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_110598,c_3370]) ).
tcf(c_113690,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_110598,c_3010]) ).
tcf(c_113691,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2785]) ).
tcf(c_113692,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2781]) ).
tcf(c_113693,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2780]) ).
tcf(c_113694,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_110598,c_27869]) ).
tcf(c_113695,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2777]) ).
tcf(c_113696,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110598,c_13871]) ).
tcf(c_113697,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2776]) ).
tcf(c_113698,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2775]) ).
tcf(c_113699,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2709]) ).
tcf(c_113700,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2705]) ).
tcf(c_113701,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2704]) ).
tcf(c_113702,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2701]) ).
tcf(c_113703,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2700]) ).
tcf(c_113704,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_110598,c_2699]) ).
tcf(c_113705,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110598,c_79]) ).
tcf(c_113706,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110598,c_78]) ).
tcf(c_113707,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110598,c_95]) ).
tcf(c_113708,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110598,c_82]) ).
tcf(c_113709,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110598,c_152]) ).
tcf(c_113710,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110598,c_96]) ).
tcf(c_113711,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110598,c_83]) ).
tcf(c_113712,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sz00,
inference(superposition,[status(thm)],[c_110598,c_94]) ).
tcf(c_113713,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_110598,c_93]) ).
tcf(c_113714,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_110598,c_81]) ).
tcf(c_113715,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_110598,c_80]) ).
tcf(c_113861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110678,c_18291]) ).
tcf(c_113864,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ( sdtasdt0(sdtpldt0(xq,xq),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_110678,c_91]) ).
tcf(c_113869,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110678,c_87]) ).
tcf(c_113871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110678,c_87]) ).
tcf(c_113874,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xq,xq),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113864,c_103,c_110686]) ).
tcf(c_113879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,xq),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113871,c_103,c_110686]) ).
tcf(c_113885,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xq,xq),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113869,c_103,c_110686]) ).
tcf(c_113891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113861,c_103,c_2614,c_110686]) ).
tcf(c_113899,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110679,c_89]) ).
tcf(c_113904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110679,c_18982]) ).
tcf(c_113906,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110679,c_15630]) ).
tcf(c_113916,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ( sdtasdt0(X0,sdtpldt0(xq,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_110679,c_92]) ).
tcf(c_113917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110679,c_89]) ).
tcf(c_113918,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xq,xq)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113916,c_103,c_110686]) ).
tcf(c_113923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,xq)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113917,c_103,c_110686]) ).
tcf(c_113929,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xq,xq)))
| ( X0 = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113899,c_103,c_110686]) ).
tcf(c_113935,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113906,c_103,c_2614,c_110686]) ).
tcf(c_113940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113904,c_103,c_2614,c_110686]) ).
tcf(c_113996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110896,c_18291]) ).
tcf(c_113999,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ( sdtasdt0(sdtasdt0(xp,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_110896,c_91]) ).
tcf(c_114004,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110896,c_87]) ).
tcf(c_114006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110896,c_87]) ).
tcf(c_114009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113999,c_103,c_110903]) ).
tcf(c_114014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114006,c_103,c_110903]) ).
tcf(c_114020,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114004,c_103,c_110903]) ).
tcf(c_114026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113996,c_103,c_2614,c_110903]) ).
tcf(c_114034,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110897,c_89]) ).
tcf(c_114039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110897,c_18982]) ).
tcf(c_114041,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110897,c_15630]) ).
tcf(c_114051,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ( sdtasdt0(X0,sdtasdt0(xp,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_110897,c_92]) ).
tcf(c_114052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110897,c_89]) ).
tcf(c_114053,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114051,c_103,c_110903]) ).
tcf(c_114058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114052,c_103,c_110903]) ).
tcf(c_114064,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114034,c_103,c_110903]) ).
tcf(c_114070,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114041,c_103,c_2614,c_110903]) ).
tcf(c_114075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114039,c_103,c_2614,c_110903]) ).
tcf(c_114101,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_109]) ).
tcf(c_114102,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xn))) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_12741]) ).
tcf(c_114103,plain,
( sdtlseqdt0(sz00,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_11962]) ).
tcf(c_114104,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_8700]) ).
tcf(c_114106,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xn),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_110]) ).
tcf(c_114107,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,xn))) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_73]) ).
tcf(c_114195,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_109]) ).
tcf(c_114196,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xp))) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_12741]) ).
tcf(c_114197,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_11962]) ).
tcf(c_114198,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_8700]) ).
tcf(c_114200,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_110]) ).
tcf(c_114201,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,xp))) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_73]) ).
tcf(c_114255,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_110935,c_112581]) ).
tcf(c_114256,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_110935,c_3370]) ).
tcf(c_114257,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_110935,c_3010]) ).
tcf(c_114258,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2785]) ).
tcf(c_114259,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2781]) ).
tcf(c_114260,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2780]) ).
tcf(c_114261,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_110935,c_27869]) ).
tcf(c_114262,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2777]) ).
tcf(c_114263,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110935,c_13871]) ).
tcf(c_114264,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2776]) ).
tcf(c_114265,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2775]) ).
tcf(c_114266,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2709]) ).
tcf(c_114267,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2705]) ).
tcf(c_114268,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2704]) ).
tcf(c_114269,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2701]) ).
tcf(c_114270,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2700]) ).
tcf(c_114271,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_110935,c_2699]) ).
tcf(c_114272,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110935,c_79]) ).
tcf(c_114273,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110935,c_78]) ).
tcf(c_114274,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110935,c_95]) ).
tcf(c_114275,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110935,c_82]) ).
tcf(c_114276,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110935,c_152]) ).
tcf(c_114277,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110935,c_96]) ).
tcf(c_114278,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_110935,c_83]) ).
tcf(c_114279,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sz00,
inference(superposition,[status(thm)],[c_110935,c_94]) ).
tcf(c_114280,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sz00,
inference(superposition,[status(thm)],[c_110935,c_93]) ).
tcf(c_114281,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_110935,c_81]) ).
tcf(c_114282,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_110935,c_80]) ).
tcf(c_114366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110990,c_18291]) ).
tcf(c_114369,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ( sdtasdt0(sdtpldt0(xp,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_110990,c_91]) ).
tcf(c_114374,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110990,c_87]) ).
tcf(c_114376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110990,c_87]) ).
tcf(c_114379,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114369,c_103,c_110996]) ).
tcf(c_114384,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114376,c_103,c_110996]) ).
tcf(c_114390,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114374,c_103,c_110996]) ).
tcf(c_114396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114366,c_103,c_2614,c_110996]) ).
tcf(c_114404,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110991,c_89]) ).
tcf(c_114409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110991,c_18982]) ).
tcf(c_114411,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110991,c_15630]) ).
tcf(c_114421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ( sdtasdt0(X0,sdtpldt0(xp,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_110991,c_92]) ).
tcf(c_114422,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110991,c_89]) ).
tcf(c_114423,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114421,c_103,c_110996]) ).
tcf(c_114428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114422,c_103,c_110996]) ).
tcf(c_114434,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114404,c_103,c_110996]) ).
tcf(c_114440,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114411,c_103,c_2614,c_110996]) ).
tcf(c_114445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114409,c_103,c_2614,c_110996]) ).
tcf(c_114538,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_111184,c_112581]) ).
tcf(c_114539,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_111184,c_3370]) ).
tcf(c_114540,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_111184,c_3010]) ).
tcf(c_114541,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2785]) ).
tcf(c_114542,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2781]) ).
tcf(c_114543,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2780]) ).
tcf(c_114544,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_111184,c_27869]) ).
tcf(c_114545,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2777]) ).
tcf(c_114546,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_111184,c_13871]) ).
tcf(c_114547,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2776]) ).
tcf(c_114548,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2775]) ).
tcf(c_114549,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2709]) ).
tcf(c_114550,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2705]) ).
tcf(c_114551,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2704]) ).
tcf(c_114552,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2701]) ).
tcf(c_114553,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2700]) ).
tcf(c_114554,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_111184,c_2699]) ).
tcf(c_114555,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111184,c_79]) ).
tcf(c_114556,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111184,c_78]) ).
tcf(c_114557,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111184,c_95]) ).
tcf(c_114558,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111184,c_82]) ).
tcf(c_114559,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111184,c_152]) ).
tcf(c_114560,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111184,c_96]) ).
tcf(c_114561,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111184,c_83]) ).
tcf(c_114562,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_111184,c_94]) ).
tcf(c_114563,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_111184,c_93]) ).
tcf(c_114564,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_111184,c_81]) ).
tcf(c_114565,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_111184,c_80]) ).
tcf(c_114714,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_112233,c_112581]) ).
tcf(c_114715,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_112233,c_3370]) ).
tcf(c_114716,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_112233,c_3010]) ).
tcf(c_114717,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2785]) ).
tcf(c_114718,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2781]) ).
tcf(c_114719,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2780]) ).
tcf(c_114720,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_112233,c_27869]) ).
tcf(c_114721,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2777]) ).
tcf(c_114722,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_112233,c_13871]) ).
tcf(c_114723,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2776]) ).
tcf(c_114724,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2775]) ).
tcf(c_114725,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2709]) ).
tcf(c_114726,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2705]) ).
tcf(c_114727,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2704]) ).
tcf(c_114728,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2701]) ).
tcf(c_114729,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2700]) ).
tcf(c_114730,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_112233,c_2699]) ).
tcf(c_114731,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112233,c_79]) ).
tcf(c_114732,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112233,c_78]) ).
tcf(c_114733,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112233,c_95]) ).
tcf(c_114734,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112233,c_82]) ).
tcf(c_114735,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112233,c_152]) ).
tcf(c_114736,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112233,c_96]) ).
tcf(c_114737,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112233,c_83]) ).
tcf(c_114738,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_112233,c_94]) ).
tcf(c_114739,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_112233,c_93]) ).
tcf(c_114740,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_112233,c_81]) ).
tcf(c_114741,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_112233,c_80]) ).
tcf(c_114960,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110565,c_109]) ).
tcf(c_114963,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110565,c_8700]) ).
tcf(c_114965,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,xq) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),xq) ),
inference(superposition,[status(thm)],[c_110565,c_110]) ).
tcf(c_114966,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110565,c_73]) ).
tcf(c_114967,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xq,xq))) = sdtasdt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114966,c_62,c_110577]) ).
tcf(c_114970,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,xq) = xq )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114965,c_62,c_110577]) ).
tcf(c_114974,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114960,c_62,c_110577]) ).
tcf(c_114984,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_110760,c_109]) ).
tcf(c_114989,plain,
( ( sz00 = xq )
| ( sdtasdt0(xl,xq) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xl) ),
inference(superposition,[status(thm)],[c_110760,c_110]) ).
tcf(c_114991,plain,
( ( sz00 = xq )
| ( sdtasdt0(xl,xq) = xl )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114989,c_49,c_2518]) ).
tcf(c_114995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_114984,c_49,c_2518]) ).
tcf(c_115000,plain,
( ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_114198,c_8631,c_14434,c_47778,c_58669,c_58686,c_112684]) ).
tcf(c_115001,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_115000]) ).
tcf(c_115014,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_109]) ).
tcf(c_115015,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_12741]) ).
tcf(c_115016,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_11962]) ).
tcf(c_115017,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_8700]) ).
tcf(c_115018,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_3979]) ).
tcf(c_115019,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_110]) ).
tcf(c_115020,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_73]) ).
tcf(c_115021,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_5863]) ).
tcf(c_115022,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_115001,c_26045]) ).
tcf(c_115023,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_8679]) ).
tcf(c_115107,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_115018,c_8631,c_115018]) ).
tcf(c_115108,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_115107]) ).
tcf(c_115123,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115108,c_109]) ).
tcf(c_115128,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115108,c_110]) ).
tcf(c_115129,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115108,c_73]) ).
tcf(c_115130,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115108,c_61224]) ).
tcf(c_115131,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115108,c_26045]) ).
tcf(c_115132,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115108,c_8679]) ).
tcf(c_115140,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115123,c_59]) ).
tcf(c_115150,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115132,c_2475]) ).
tcf(c_115151,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115150,c_59]) ).
tcf(c_115160,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115129,c_59]) ).
tcf(c_115168,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115128,c_59]) ).
tcf(c_115177,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115131,c_2475]) ).
tcf(c_115228,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_115014,c_8631,c_115014]) ).
tcf(c_115229,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_115228]) ).
tcf(c_115249,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_115229]) ).
tcf(c_115250,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_115229]) ).
tcf(c_115251,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_115229]) ).
tcf(c_115252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_115229]) ).
tcf(c_115253,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_115229]) ).
tcf(c_115254,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_115229]) ).
tcf(c_115255,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3961,c_115229]) ).
tcf(c_115256,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_115229]) ).
tcf(c_115257,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_115229]) ).
tcf(c_115258,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_115229]) ).
tcf(c_115259,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15621,c_115229]) ).
tcf(c_115260,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_115229]) ).
tcf(c_115261,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_115229]) ).
tcf(c_115262,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_115229]) ).
tcf(c_115263,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_115229]) ).
tcf(c_115264,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_115229]) ).
tcf(c_115265,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_115229]) ).
tcf(c_115266,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_115229]) ).
tcf(c_115267,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_115229]) ).
tcf(c_115269,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_115229]) ).
tcf(c_115270,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_115229]) ).
tcf(c_115272,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_115229]) ).
tcf(c_115273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_115229]) ).
tcf(c_115274,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_115229]) ).
tcf(c_115275,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_115229]) ).
tcf(c_115276,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_115229]) ).
tcf(c_115277,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111576,c_115229]) ).
tcf(c_115278,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115266,c_49]) ).
tcf(c_115286,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115265,c_103]) ).
tcf(c_115294,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115264,c_103]) ).
tcf(c_115302,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115263,c_103]) ).
tcf(c_115310,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115262,c_103]) ).
tcf(c_115318,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115260,c_103]) ).
tcf(c_115328,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115253,c_59]) ).
tcf(c_115344,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115259,c_103]) ).
tcf(c_115361,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115267,c_62]) ).
tcf(c_115401,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115270,c_103]) ).
tcf(c_115412,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115261,c_103]) ).
tcf(c_115430,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115269,c_103]) ).
tcf(c_115465,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115258,c_103]) ).
tcf(c_115474,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115257,c_103]) ).
tcf(c_115483,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115276,c_103]) ).
tcf(c_115496,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115275,c_103]) ).
tcf(c_115514,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_115021,c_8631,c_115021]) ).
tcf(c_115515,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_115514]) ).
tcf(c_115530,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_115515,c_109]) ).
tcf(c_115535,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_115515,c_110]) ).
tcf(c_115536,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_115515,c_73]) ).
tcf(c_115537,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_115515,c_61224]) ).
tcf(c_115546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115530,c_59]) ).
tcf(c_115557,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115536,c_59]) ).
tcf(c_115566,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115535,c_59]) ).
tcf(c_115576,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_115023,c_8631,c_115023]) ).
tcf(c_115577,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_115576]) ).
tcf(c_115592,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_109]) ).
tcf(c_115593,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_12741]) ).
tcf(c_115594,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_11962]) ).
tcf(c_115596,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_3979]) ).
tcf(c_115597,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_115577,c_110]) ).
tcf(c_115598,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_73]) ).
tcf(c_115599,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_12745]) ).
tcf(c_115600,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_12182]) ).
tcf(c_115601,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_115577,c_8702]) ).
tcf(c_115602,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_5910]) ).
tcf(c_115603,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_47638]) ).
tcf(c_115765,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_115601,c_8631,c_115022]) ).
tcf(c_115784,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_115765]) ).
tcf(c_115785,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_115765]) ).
tcf(c_115787,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_115765]) ).
tcf(c_115788,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115787,c_103]) ).
tcf(c_115797,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115785,c_103]) ).
tcf(c_115808,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115784,c_2464]) ).
tcf(c_115815,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_111107,c_109]) ).
tcf(c_115818,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(superposition,[status(thm)],[c_111107,c_8700]) ).
tcf(c_115820,plain,
( ( sz00 = xq )
| ( sdtasdt0(xp,xq) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),xp) ),
inference(superposition,[status(thm)],[c_111107,c_110]) ).
tcf(c_115821,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,sK2(xp,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_111107,c_73]) ).
tcf(c_115823,plain,
( ( sz00 = xq )
| ( sdtpldt0(xp,sK2(xp,sdtasdt0(xp,xq))) = sdtasdt0(xp,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115821,c_59,c_104482]) ).
tcf(c_115826,plain,
( ( sz00 = xq )
| ( sdtasdt0(xp,xq) = xp )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115820,c_59,c_104482]) ).
tcf(c_115830,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xq))
| ( sz00 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115815,c_59,c_104482]) ).
tcf(c_115836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110553,c_70]) ).
tcf(c_115839,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110553,c_24035]) ).
tcf(c_115840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110553,c_17825]) ).
tcf(c_115841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110553,c_17392]) ).
tcf(c_115842,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110553,c_14477]) ).
tcf(c_115850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_110553,c_70]) ).
tcf(c_115851,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtpldt0(sdtasdt0(xq,xq),X0) != sdtasdt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110553,c_76]) ).
tcf(c_115852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(sdtasdt0(xq,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110553,c_68]) ).
tcf(c_115853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,xq),X0),sdtasdt0(xq,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110553,c_68]) ).
tcf(c_115855,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110553,c_77]) ).
tcf(c_115856,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115855,c_103,c_110577]) ).
tcf(c_115860,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xq,xq),X0) != sdtasdt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115851,c_103,c_110577]) ).
tcf(c_115865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(sdtasdt0(xq,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115852,c_103,c_110577]) ).
tcf(c_115870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(X0,sz00))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115850,c_103,c_110577]) ).
tcf(c_115875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115836,c_103,c_110577]) ).
tcf(c_115881,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115839,c_103,c_110577]) ).
tcf(c_115887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115841,c_103,c_110577]) ).
tcf(c_115895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115840,c_103,c_110577]) ).
tcf(c_115905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,xq)),sdtasdt0(xq,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110555,c_70]) ).
tcf(c_115909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110555,c_17825]) ).
tcf(c_115910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110555,c_17392]) ).
tcf(c_115919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(X0,sdtasdt0(xq,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110555,c_70]) ).
tcf(c_115920,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110555,c_76]) ).
tcf(c_115921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_110555,c_68]) ).
tcf(c_115922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110555,c_68]) ).
tcf(c_115924,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtpldt0(X0,sdtasdt0(xq,xq)) != sdtasdt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110555,c_77]) ).
tcf(c_115925,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_65275]) ).
tcf(c_115927,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_97431]) ).
tcf(c_115929,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_51524]) ).
tcf(c_115930,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_49956]) ).
tcf(c_115931,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110555,c_47638]) ).
tcf(c_115932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_41879]) ).
tcf(c_115933,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_46832]) ).
tcf(c_115934,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_43963]) ).
tcf(c_115935,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_43470]) ).
tcf(c_115936,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_43085]) ).
tcf(c_115937,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_42039]) ).
tcf(c_115938,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_35146]) ).
tcf(c_115939,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_26041]) ).
tcf(c_115940,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_26044]) ).
tcf(c_115941,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xq,xq)),sz00) ),
inference(superposition,[status(thm)],[c_110555,c_26052]) ).
tcf(c_115942,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_15930]) ).
tcf(c_115943,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_15792]) ).
tcf(c_115944,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xq,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_24215]) ).
tcf(c_115945,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xq,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_24215]) ).
tcf(c_115946,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_15931]) ).
tcf(c_115947,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_24885]) ).
tcf(c_115948,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_15793]) ).
tcf(c_115949,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xq,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110555,c_8652]) ).
tcf(c_115950,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_45030]) ).
tcf(c_115951,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xq,xq)) != sdtasdt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115924,c_103,c_110577]) ).
tcf(c_115955,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115920,c_103,c_110577]) ).
tcf(c_115959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(X0,sdtasdt0(xq,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115919,c_103,c_110577]) ).
tcf(c_115965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115922,c_103,c_110577]) ).
tcf(c_115970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sdtpldt0(sz00,X0))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115921,c_103,c_110577]) ).
tcf(c_115976,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115948,c_110577]) ).
tcf(c_115982,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115946,c_110577]) ).
tcf(c_115988,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115945,c_110555]) ).
tcf(c_115989,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115988,c_110577]) ).
tcf(c_115997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115909,c_103,c_110577]) ).
tcf(c_116005,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115943,c_110577]) ).
tcf(c_116012,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115942,c_110577]) ).
tcf(c_116019,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115925,c_110577]) ).
tcf(c_116026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115910,c_103,c_110577]) ).
tcf(c_116041,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115941,c_110555]) ).
tcf(c_116042,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116041,c_110577]) ).
tcf(c_116048,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115940,c_110555]) ).
tcf(c_116049,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116048,c_110577]) ).
tcf(c_116056,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115938,c_110577]) ).
tcf(c_116064,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115939,c_110555]) ).
tcf(c_116065,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116064,c_110577]) ).
tcf(c_116073,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115933,c_110555]) ).
tcf(c_116074,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116073,c_110577]) ).
tcf(c_116081,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115927,c_110577]) ).
tcf(c_116089,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq)) ),
inference(light_normalisation,[status(thm)],[c_115931,c_110555]) ).
tcf(c_116090,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116089,c_110577]) ).
tcf(c_116097,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115937,c_110555]) ).
tcf(c_116098,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116097,c_110577]) ).
tcf(c_116106,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115936,c_110577]) ).
tcf(c_116114,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115935,c_110577]) ).
tcf(c_116122,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115934,c_110577]) ).
tcf(c_116129,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115950,c_110555]) ).
tcf(c_116130,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116129,c_110577]) ).
tcf(c_116139,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115930,c_110555]) ).
tcf(c_116140,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xq,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116139,c_110577]) ).
tcf(c_116148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115932,c_110555]) ).
tcf(c_116149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116148,c_110577]) ).
tcf(c_116159,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_115929,c_110555]) ).
tcf(c_116160,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116159,c_110577]) ).
tcf(c_116289,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110544,c_109]) ).
tcf(c_116294,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(xm,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110544,c_110]) ).
tcf(c_116295,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtpldt0(sdtasdt0(xq,xq),sK2(sdtasdt0(xq,xq),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110544,c_73]) ).
tcf(c_116296,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtpldt0(sdtasdt0(xq,xq),sK2(sdtasdt0(xq,xq),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116295,c_50,c_110577]) ).
tcf(c_116299,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = xm )
| ~ sdtlseqdt0(xm,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116294,c_50,c_110577]) ).
tcf(c_116303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116289,c_50,c_110577]) ).
tcf(c_116312,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110546,c_109]) ).
tcf(c_116317,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(xp,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110546,c_110]) ).
tcf(c_116318,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtpldt0(sdtasdt0(xq,xq),sK2(sdtasdt0(xq,xq),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110546,c_73]) ).
tcf(c_116320,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtpldt0(sdtasdt0(xq,xq),sK2(sdtasdt0(xq,xq),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116318,c_59,c_110577]) ).
tcf(c_116323,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ( sdtasdt0(xq,xq) = xp )
| ~ sdtlseqdt0(xp,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116317,c_59,c_110577]) ).
tcf(c_116327,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116312,c_59,c_110577]) ).
tcf(c_116419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,xq))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110667,c_70]) ).
tcf(c_116422,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110667,c_24035]) ).
tcf(c_116423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110667,c_17825]) ).
tcf(c_116424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110667,c_17392]) ).
tcf(c_116425,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110667,c_14477]) ).
tcf(c_116433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_110667,c_70]) ).
tcf(c_116434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ( sdtpldt0(sdtpldt0(xq,xq),X0) != sdtpldt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110667,c_76]) ).
tcf(c_116435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(sdtpldt0(xq,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110667,c_68]) ).
tcf(c_116436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),X0),sdtpldt0(xq,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110667,c_68]) ).
tcf(c_116438,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110667,c_77]) ).
tcf(c_116439,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116438,c_103,c_110686]) ).
tcf(c_116443,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xq,xq),X0) != sdtpldt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116434,c_103,c_110686]) ).
tcf(c_116448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(sdtpldt0(xq,xq),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116435,c_103,c_110686]) ).
tcf(c_116453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(X0,sz00))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116433,c_103,c_110686]) ).
tcf(c_116458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xq,xq))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116419,c_103,c_110686]) ).
tcf(c_116464,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116422,c_103,c_110686]) ).
tcf(c_116470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116424,c_103,c_110686]) ).
tcf(c_116478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116423,c_103,c_110686]) ).
tcf(c_116488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,xq)),sdtpldt0(xq,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110669,c_70]) ).
tcf(c_116492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(superposition,[status(thm)],[c_110669,c_17825]) ).
tcf(c_116493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110669,c_17392]) ).
tcf(c_116502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(X0,sdtpldt0(xq,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110669,c_70]) ).
tcf(c_116503,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110669,c_76]) ).
tcf(c_116504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_110669,c_68]) ).
tcf(c_116505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,xq))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110669,c_68]) ).
tcf(c_116507,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ( sdtpldt0(X0,sdtpldt0(xq,xq)) != sdtpldt0(xq,xq) ) ),
inference(superposition,[status(thm)],[c_110669,c_77]) ).
tcf(c_116510,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_97431]) ).
tcf(c_116512,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_51524]) ).
tcf(c_116513,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_49956]) ).
tcf(c_116514,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_110669,c_47638]) ).
tcf(c_116515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_41879]) ).
tcf(c_116516,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_46832]) ).
tcf(c_116517,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_43963]) ).
tcf(c_116518,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_43470]) ).
tcf(c_116519,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_43085]) ).
tcf(c_116520,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_42039]) ).
tcf(c_116521,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_35146]) ).
tcf(c_116522,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_26041]) ).
tcf(c_116523,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_26044]) ).
tcf(c_116524,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,xq)),sz00) ),
inference(superposition,[status(thm)],[c_110669,c_26052]) ).
tcf(c_116525,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_15930]) ).
tcf(c_116527,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_24215]) ).
tcf(c_116528,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xq,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_24215]) ).
tcf(c_116529,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_15931]) ).
tcf(c_116530,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_24885]) ).
tcf(c_116531,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_15793]) ).
tcf(c_116532,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xq,xq) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110669,c_8652]) ).
tcf(c_116533,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_45030]) ).
tcf(c_116534,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xq,xq)) != sdtpldt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116507,c_103,c_110686]) ).
tcf(c_116538,plain,
! [X0: $i] :
( ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xq,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116503,c_103,c_110686]) ).
tcf(c_116542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(X0,sdtpldt0(xq,xq)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116502,c_103,c_110686]) ).
tcf(c_116548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xq,xq))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116505,c_103,c_110686]) ).
tcf(c_116553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sdtpldt0(sz00,X0))
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116504,c_103,c_110686]) ).
tcf(c_116559,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116531,c_110686]) ).
tcf(c_116565,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116529,c_110686]) ).
tcf(c_116571,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116528,c_110669]) ).
tcf(c_116572,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116571,c_110686]) ).
tcf(c_116580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xq,xq)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116492,c_103,c_110686]) ).
tcf(c_116588,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116525,c_110686]) ).
tcf(c_116595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116493,c_103,c_110686]) ).
tcf(c_116610,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116524,c_110669]) ).
tcf(c_116611,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116610,c_110686]) ).
tcf(c_116617,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116523,c_110669]) ).
tcf(c_116618,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116617,c_110686]) ).
tcf(c_116625,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116521,c_110686]) ).
tcf(c_116633,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116522,c_110669]) ).
tcf(c_116634,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116633,c_110686]) ).
tcf(c_116642,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116516,c_110669]) ).
tcf(c_116643,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116642,c_110686]) ).
tcf(c_116650,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116510,c_110686]) ).
tcf(c_116658,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq)) ),
inference(light_normalisation,[status(thm)],[c_116514,c_110669]) ).
tcf(c_116659,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116658,c_110686]) ).
tcf(c_116666,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116520,c_110669]) ).
tcf(c_116667,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116666,c_110686]) ).
tcf(c_116675,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116519,c_110686]) ).
tcf(c_116683,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116518,c_110686]) ).
tcf(c_116691,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116517,c_110686]) ).
tcf(c_116698,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116533,c_110669]) ).
tcf(c_116699,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ sdtlseqdt0(X0,sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116698,c_110686]) ).
tcf(c_116708,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116513,c_110669]) ).
tcf(c_116709,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,xq)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116708,c_110686]) ).
tcf(c_116717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116515,c_110669]) ).
tcf(c_116718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116717,c_110686]) ).
tcf(c_116728,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_116512,c_110669]) ).
tcf(c_116729,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116728,c_110686]) ).
tcf(c_116781,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_115019,c_8631,c_115019]) ).
tcf(c_116782,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_116781]) ).
tcf(c_116800,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_116782]) ).
tcf(c_116801,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_116782]) ).
tcf(c_116823,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_115020,c_8631,c_115020]) ).
tcf(c_116824,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_116823]) ).
tcf(c_116837,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_72,c_116824]) ).
tcf(c_116838,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116837,c_103]) ).
tcf(c_116868,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_72,c_115273]) ).
tcf(c_116869,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116868,c_103]) ).
tcf(c_116897,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_109]) ).
tcf(c_116898,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xq))) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_12741]) ).
tcf(c_116899,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xq))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_11962]) ).
tcf(c_116900,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_8700]) ).
tcf(c_116902,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xq),sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_110]) ).
tcf(c_116903,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,xq))) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_73]) ).
tcf(c_116954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xp))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110883,c_70]) ).
tcf(c_116957,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110883,c_24035]) ).
tcf(c_116958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110883,c_17825]) ).
tcf(c_116959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110883,c_17392]) ).
tcf(c_116960,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110883,c_14477]) ).
tcf(c_116968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_110883,c_70]) ).
tcf(c_116969,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ( sdtpldt0(sdtasdt0(xp,xp),X0) != sdtasdt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110883,c_76]) ).
tcf(c_116970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(sdtasdt0(xp,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110883,c_68]) ).
tcf(c_116971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),X0),sdtasdt0(xp,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110883,c_68]) ).
tcf(c_116973,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110883,c_77]) ).
tcf(c_116974,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116973,c_103,c_110903]) ).
tcf(c_116978,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xp),X0) != sdtasdt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116969,c_103,c_110903]) ).
tcf(c_116983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(sdtasdt0(xp,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116970,c_103,c_110903]) ).
tcf(c_116988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116968,c_103,c_110903]) ).
tcf(c_116993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xp))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116954,c_103,c_110903]) ).
tcf(c_116999,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116957,c_103,c_110903]) ).
tcf(c_117005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116959,c_103,c_110903]) ).
tcf(c_117013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_116958,c_103,c_110903]) ).
tcf(c_117065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xp)),sdtasdt0(xp,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110886,c_70]) ).
tcf(c_117069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_110886,c_17825]) ).
tcf(c_117070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110886,c_17392]) ).
tcf(c_117079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(X0,sdtasdt0(xp,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110886,c_70]) ).
tcf(c_117080,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110886,c_76]) ).
tcf(c_117081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_110886,c_68]) ).
tcf(c_117082,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xp))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110886,c_68]) ).
tcf(c_117084,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ( sdtpldt0(X0,sdtasdt0(xp,xp)) != sdtasdt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110886,c_77]) ).
tcf(c_117085,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_65275]) ).
tcf(c_117087,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_97431]) ).
tcf(c_117089,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_51524]) ).
tcf(c_117090,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_49956]) ).
tcf(c_117091,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110886,c_47638]) ).
tcf(c_117092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_41879]) ).
tcf(c_117093,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_46832]) ).
tcf(c_117094,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_43963]) ).
tcf(c_117095,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_43470]) ).
tcf(c_117096,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_43085]) ).
tcf(c_117097,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_42039]) ).
tcf(c_117098,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_35146]) ).
tcf(c_117099,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_26041]) ).
tcf(c_117100,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_26044]) ).
tcf(c_117101,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,xp)),sz00) ),
inference(superposition,[status(thm)],[c_110886,c_26052]) ).
tcf(c_117102,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_15930]) ).
tcf(c_117103,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_15792]) ).
tcf(c_117104,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_24215]) ).
tcf(c_117105,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xp,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_24215]) ).
tcf(c_117106,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_15931]) ).
tcf(c_117107,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_24885]) ).
tcf(c_117108,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_15793]) ).
tcf(c_117109,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtasdt0(xp,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110886,c_8652]) ).
tcf(c_117110,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_45030]) ).
tcf(c_117111,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xp)) != sdtasdt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117084,c_103,c_110903]) ).
tcf(c_117115,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117080,c_103,c_110903]) ).
tcf(c_117119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(X0,sdtasdt0(xp,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117079,c_103,c_110903]) ).
tcf(c_117125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xp))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117082,c_103,c_110903]) ).
tcf(c_117130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117081,c_103,c_110903]) ).
tcf(c_117136,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117108,c_110903]) ).
tcf(c_117142,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117106,c_110903]) ).
tcf(c_117148,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117105,c_110886]) ).
tcf(c_117149,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117148,c_110903]) ).
tcf(c_117157,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117069,c_103,c_110903]) ).
tcf(c_117165,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117103,c_110903]) ).
tcf(c_117172,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117102,c_110903]) ).
tcf(c_117179,plain,
( sdtlseqdt0(xq,sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117085,c_110903]) ).
tcf(c_117186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117070,c_103,c_110903]) ).
tcf(c_117201,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117101,c_110886]) ).
tcf(c_117202,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117201,c_110903]) ).
tcf(c_117208,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117100,c_110886]) ).
tcf(c_117209,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117208,c_110903]) ).
tcf(c_117216,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117098,c_110903]) ).
tcf(c_117224,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117099,c_110886]) ).
tcf(c_117225,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117224,c_110903]) ).
tcf(c_117233,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117093,c_110886]) ).
tcf(c_117234,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117233,c_110903]) ).
tcf(c_117241,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117087,c_110903]) ).
tcf(c_117249,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp)) ),
inference(light_normalisation,[status(thm)],[c_117091,c_110886]) ).
tcf(c_117250,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117249,c_110903]) ).
tcf(c_117257,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117097,c_110886]) ).
tcf(c_117258,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117257,c_110903]) ).
tcf(c_117266,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117096,c_110903]) ).
tcf(c_117274,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117095,c_110903]) ).
tcf(c_117282,plain,
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117094,c_110903]) ).
tcf(c_117289,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117110,c_110886]) ).
tcf(c_117290,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117289,c_110903]) ).
tcf(c_117299,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117090,c_110886]) ).
tcf(c_117300,plain,
( sdtlseqdt0(sdtpldt0(xq,sdtasdt0(xp,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117299,c_110903]) ).
tcf(c_117308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117092,c_110886]) ).
tcf(c_117309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117308,c_110903]) ).
tcf(c_117319,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117089,c_110886]) ).
tcf(c_117320,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117319,c_110903]) ).
tcf(c_117490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110981,c_70]) ).
tcf(c_117504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_110981,c_70]) ).
tcf(c_117505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ( sdtpldt0(sdtpldt0(xp,xp),X0) != sdtpldt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110981,c_76]) ).
tcf(c_117506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(sdtpldt0(xp,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110981,c_68]) ).
tcf(c_117507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xp),X0),sdtpldt0(xp,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110981,c_68]) ).
tcf(c_117509,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110981,c_77]) ).
tcf(c_117510,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117509,c_103,c_110996]) ).
tcf(c_117514,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xp),X0) != sdtpldt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117505,c_103,c_110996]) ).
tcf(c_117519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(sdtpldt0(xp,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117506,c_103,c_110996]) ).
tcf(c_117524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117504,c_103,c_110996]) ).
tcf(c_117529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117490,c_103,c_110996]) ).
tcf(c_117606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xp)),sdtpldt0(xp,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110983,c_70]) ).
tcf(c_117620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(X0,sdtpldt0(xp,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110983,c_70]) ).
tcf(c_117621,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110983,c_76]) ).
tcf(c_117622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_110983,c_68]) ).
tcf(c_117623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110983,c_68]) ).
tcf(c_117625,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ( sdtpldt0(X0,sdtpldt0(xp,xp)) != sdtpldt0(xp,xp) ) ),
inference(superposition,[status(thm)],[c_110983,c_77]) ).
tcf(c_117626,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_65275]) ).
tcf(c_117628,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_97431]) ).
tcf(c_117642,plain,
( sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,xp)),sz00) ),
inference(superposition,[status(thm)],[c_110983,c_26052]) ).
tcf(c_117643,plain,
( sdtlseqdt0(sdtpldt0(xp,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_15930]) ).
tcf(c_117644,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_15792]) ).
tcf(c_117645,plain,
( sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_24215]) ).
tcf(c_117646,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_24215]) ).
tcf(c_117647,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_15931]) ).
tcf(c_117649,plain,
( sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_15793]) ).
tcf(c_117650,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(xp,xp) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_110983,c_8652]) ).
tcf(c_117652,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xp)) != sdtpldt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117625,c_103,c_110996]) ).
tcf(c_117656,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117621,c_103,c_110996]) ).
tcf(c_117660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(X0,sdtpldt0(xp,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117620,c_103,c_110996]) ).
tcf(c_117666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117623,c_103,c_110996]) ).
tcf(c_117671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117622,c_103,c_110996]) ).
tcf(c_117677,plain,
( sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117649,c_110996]) ).
tcf(c_117683,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117647,c_110996]) ).
tcf(c_117689,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117646,c_110983]) ).
tcf(c_117690,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117689,c_110996]) ).
tcf(c_117698,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117644,c_110996]) ).
tcf(c_117705,plain,
( sdtlseqdt0(sdtpldt0(xp,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117643,c_110996]) ).
tcf(c_117712,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117626,c_110996]) ).
tcf(c_117719,plain,
( sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_117642,c_110983]) ).
tcf(c_117720,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117628,c_110996]) ).
tcf(c_117770,plain,
sdtlseqdt0(xq,sdtasdt0(xp,xp)),
inference(global_subsumption_just,[status(thm)],[c_110869,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_6566,c_6568,c_21780,c_48060]) ).
tcf(c_117772,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_117770,c_109]) ).
tcf(c_117775,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(superposition,[status(thm)],[c_117770,c_8700]) ).
tcf(c_117777,plain,
( ( sdtasdt0(xp,xp) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),xq) ),
inference(superposition,[status(thm)],[c_117770,c_110]) ).
tcf(c_117778,plain,
( ( sdtpldt0(xq,sK2(xq,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_117770,c_73]) ).
tcf(c_117779,plain,
sdtpldt0(xq,sK2(xq,sdtasdt0(xp,xp))) = sdtasdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_117778,c_62,c_110903]) ).
tcf(c_117780,plain,
( ( sdtasdt0(xp,xp) = xq )
| ~ sdtlseqdt0(sdtasdt0(xp,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117777,c_62,c_110903]) ).
tcf(c_117783,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117772,c_62,c_110903]) ).
tcf(c_117787,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117775,c_62,c_110903]) ).
tcf(c_117818,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110945,c_109]) ).
tcf(c_117823,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110945,c_110]) ).
tcf(c_117824,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(sdtpldt0(xp,xp),sK2(sdtpldt0(xp,xp),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110945,c_73]) ).
tcf(c_117825,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(sdtpldt0(xp,xp),sK2(sdtpldt0(xp,xp),xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117824,c_50,c_110996]) ).
tcf(c_117828,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = xm )
| ~ sdtlseqdt0(xm,sdtpldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117823,c_50,c_110996]) ).
tcf(c_117832,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117818,c_50,c_110996]) ).
tcf(c_117874,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110974,c_109]) ).
tcf(c_117880,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(sdtpldt0(xp,xp),sK2(sdtpldt0(xp,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_110974,c_73]) ).
tcf(c_117882,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ( sdtpldt0(sdtpldt0(xp,xp),sK2(sdtpldt0(xp,xp),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117880,c_59,c_110996]) ).
tcf(c_117885,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117874,c_59,c_110996]) ).
tcf(c_117955,plain,
~ sdtlseqdt0(sdtasdt0(xp,xp),sz00),
inference(global_subsumption_just,[status(thm)],[c_117787,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_6566,c_21723,c_21780]) ).
tcf(c_118006,plain,
( ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(sK2(sz00,sz00),sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_25625,c_103,c_112,c_121,c_6688,c_8631,c_25625]) ).
tcf(c_118007,plain,
( sdtlseqdt0(sK2(sz00,sz00),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_118006]) ).
tcf(c_118017,plain,
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118007,c_12741]) ).
tcf(c_118018,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118007,c_11962]) ).
tcf(c_118019,plain,
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_118007,c_8700]) ).
tcf(c_118021,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_118007,c_110]) ).
tcf(c_118022,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ( sdtpldt0(sK2(sz00,sz00),sK2(sK2(sz00,sz00),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118007,c_73]) ).
tcf(c_118023,plain,
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118007,c_115229]) ).
tcf(c_118025,plain,
( sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,sz00)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118007,c_8672]) ).
tcf(c_118066,plain,
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(global_subsumption_just,[status(thm)],[c_118019,c_103,c_112,c_121,c_8631,c_118019]) ).
tcf(c_118079,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_118066]) ).
tcf(c_118080,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_118066]) ).
tcf(c_118082,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_118066]) ).
tcf(c_118083,plain,
( sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_118066]) ).
tcf(c_118084,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118082,c_103]) ).
tcf(c_118090,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_118083,c_2465]) ).
tcf(c_118091,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118090,c_103]) ).
tcf(c_118098,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118080,c_103]) ).
tcf(c_118106,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_118079,c_2464]) ).
tcf(c_118117,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(X0,sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118084,c_109]) ).
tcf(c_118118,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118084,c_12741]) ).
tcf(c_118120,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118084,c_8700]) ).
tcf(c_118121,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118084,c_3979]) ).
tcf(c_118122,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sz00) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_118084,c_110]) ).
tcf(c_118123,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ( sdtpldt0(sK2(sz00,sz00),sK2(sK2(sz00,sz00),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118084,c_73]) ).
tcf(c_118124,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sz00)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sz00) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,sz00) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_118084,c_5863]) ).
tcf(c_118195,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(X0,sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25634,c_109]) ).
tcf(c_118196,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25634,c_12741]) ).
tcf(c_118197,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25634,c_11962]) ).
tcf(c_118198,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25634,c_8700]) ).
tcf(c_118200,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xl)) ),
inference(superposition,[status(thm)],[c_25634,c_110]) ).
tcf(c_118201,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sK2(sz00,xl),sK2(sK2(sz00,xl),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25634,c_73]) ).
tcf(c_118202,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25634,c_115229]) ).
tcf(c_118203,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25634,c_41840]) ).
tcf(c_118350,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,xl)) ),
inference(global_subsumption_just,[status(thm)],[c_118198,c_8631,c_118198]) ).
tcf(c_118351,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_118350]) ).
tcf(c_118367,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_118351]) ).
tcf(c_118368,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_118351]) ).
tcf(c_118370,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_118351]) ).
tcf(c_118371,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_118351]) ).
tcf(c_118372,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118370,c_103]) ).
tcf(c_118380,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_118371,c_2465]) ).
tcf(c_118381,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_118380,c_103]) ).
tcf(c_118391,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_118367,c_2464]) ).
tcf(c_118404,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(X0,sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25635,c_109]) ).
tcf(c_118405,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25635,c_12741]) ).
tcf(c_118406,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25635,c_11962]) ).
tcf(c_118407,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25635,c_8700]) ).
tcf(c_118409,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xm)) ),
inference(superposition,[status(thm)],[c_25635,c_110]) ).
tcf(c_118410,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sK2(sz00,xm),sK2(sK2(sz00,xm),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25635,c_73]) ).
tcf(c_118411,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25635,c_115229]) ).
tcf(c_118412,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25635,c_41840]) ).
tcf(c_119000,plain,
( sdtlseqdt0(xq,xq)
| ( xp = xq )
| ~ sdtlseqdt0(xp,xq) ),
inference(light_normalisation,[status(thm)],[c_4893,c_110513]) ).
tcf(c_119008,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_4930,c_109]) ).
tcf(c_119013,plain,
( ( xn = xp )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn) ),
inference(superposition,[status(thm)],[c_4930,c_110]) ).
tcf(c_119014,plain,
( ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ( sdtpldt0(xn,sK2(xn,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4930,c_73]) ).
tcf(c_119015,plain,
( sdtlseqdt0(xn,xm)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4930,c_61224]) ).
tcf(c_119016,plain,
( sdtlseqdt0(xn,xm)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119015,c_51]) ).
tcf(c_119019,plain,
( ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ( sdtpldt0(xn,sK2(xn,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119014,c_59,c_51]) ).
tcf(c_119022,plain,
( ( xn = xp )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ sdtlseqdt0(xp,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119013,c_59,c_51]) ).
tcf(c_119026,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119008,c_59,c_51]) ).
tcf(c_119043,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_118407,c_8631,c_118407]) ).
tcf(c_119044,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_119043]) ).
tcf(c_119060,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_119044]) ).
tcf(c_119061,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_119044]) ).
tcf(c_119063,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_119044]) ).
tcf(c_119064,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_119044]) ).
tcf(c_119065,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119063,c_103]) ).
tcf(c_119073,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_119064,c_2465]) ).
tcf(c_119074,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119073,c_103]) ).
tcf(c_119084,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_119060,c_2464]) ).
tcf(c_119097,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25636,c_109]) ).
tcf(c_119098,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25636,c_12741]) ).
tcf(c_119099,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25636,c_11962]) ).
tcf(c_119100,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25636,c_8700]) ).
tcf(c_119102,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_25636,c_110]) ).
tcf(c_119103,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sK2(sz00,xn),sK2(sK2(sz00,xn),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25636,c_73]) ).
tcf(c_119104,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25636,c_115229]) ).
tcf(c_119105,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25636,c_41840]) ).
tcf(c_119172,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(global_subsumption_just,[status(thm)],[c_119100,c_8631,c_119100]) ).
tcf(c_119173,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_119172]) ).
tcf(c_119189,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_119173]) ).
tcf(c_119190,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_119173]) ).
tcf(c_119192,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_119173]) ).
tcf(c_119193,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_119173]) ).
tcf(c_119194,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119192,c_103]) ).
tcf(c_119202,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_119193,c_2465]) ).
tcf(c_119203,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119202,c_103]) ).
tcf(c_119213,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_119189,c_2464]) ).
tcf(c_119240,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_25639,c_8631,c_14434,c_58669,c_58686,c_112684]) ).
tcf(c_119241,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_119240]) ).
tcf(c_119252,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_119241]) ).
tcf(c_119253,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119252,c_103]) ).
tcf(c_119272,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25640,c_109]) ).
tcf(c_119273,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25640,c_12741]) ).
tcf(c_119274,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25640,c_11962]) ).
tcf(c_119275,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25640,c_8700]) ).
tcf(c_119277,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_25640,c_110]) ).
tcf(c_119278,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sK2(sz00,xq),sK2(sK2(sz00,xq),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25640,c_73]) ).
tcf(c_119279,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25640,c_115229]) ).
tcf(c_119280,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25640,c_41840]) ).
tcf(c_119347,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(global_subsumption_just,[status(thm)],[c_119275,c_8631,c_119275]) ).
tcf(c_119348,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_119347]) ).
tcf(c_119364,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_119348]) ).
tcf(c_119365,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_119348]) ).
tcf(c_119367,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_119348]) ).
tcf(c_119368,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_119348]) ).
tcf(c_119369,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119367,c_103]) ).
tcf(c_119377,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_119368,c_2465]) ).
tcf(c_119378,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119377,c_103]) ).
tcf(c_119388,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_119364,c_2464]) ).
tcf(c_119394,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(superposition,[status(thm)],[c_6208,c_109]) ).
tcf(c_119399,plain,
( ( xl = xp )
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xp,xl) ),
inference(superposition,[status(thm)],[c_6208,c_110]) ).
tcf(c_119400,plain,
( ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ( sdtpldt0(xl,sK2(xl,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_6208,c_73]) ).
tcf(c_119402,plain,
( ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ( sdtpldt0(xl,sK2(xl,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119400,c_59,c_49]) ).
tcf(c_119405,plain,
( ( xl = xp )
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ sdtlseqdt0(xp,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119399,c_59,c_49]) ).
tcf(c_119409,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119394,c_59,c_49]) ).
tcf(c_119427,plain,
sK2(sz00,sz00) = sz00,
inference(global_subsumption_just,[status(thm)],[c_6306,c_103,c_112,c_121,c_6306]) ).
tcf(c_119431,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_118007,c_119427]) ).
tcf(c_119442,plain,
( ( sK3(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,sz00) ),
inference(superposition,[status(thm)],[c_101,c_11003]) ).
tcf(c_119443,plain,
sK3(xl,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_119442,c_103,c_49,c_2901]) ).
tcf(c_119463,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_70294,c_31386]) ).
tcf(c_119464,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_11984,c_31386]) ).
tcf(c_119466,plain,
( sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108,c_31386]) ).
tcf(c_119467,plain,
( sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119466,c_103]) ).
tcf(c_119475,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_119463,c_2464]) ).
tcf(c_119494,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sz00)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_26006]) ).
tcf(c_119495,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_26006]) ).
tcf(c_119496,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2471,c_26006]) ).
tcf(c_119497,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_26006]) ).
tcf(c_119498,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2475,c_26006]) ).
tcf(c_119499,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_26006]) ).
tcf(c_119500,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2537,c_26006]) ).
tcf(c_119504,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_26006]) ).
tcf(c_119506,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_26006]) ).
tcf(c_119508,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_26006]) ).
tcf(c_119509,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_26006]) ).
tcf(c_119510,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_26006]) ).
tcf(c_119511,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17183,c_26006]) ).
tcf(c_119512,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_26006]) ).
tcf(c_119514,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105387,c_26006]) ).
tcf(c_119515,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_26006]) ).
tcf(c_119517,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110886,c_26006]) ).
tcf(c_119519,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_26006]) ).
tcf(c_119520,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_26006]) ).
tcf(c_119521,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_26006]) ).
tcf(c_119522,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29587,c_26006]) ).
tcf(c_119523,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_26006]) ).
tcf(c_119524,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42808,c_26006]) ).
tcf(c_119525,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59324,c_26006]) ).
tcf(c_119526,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_26006]) ).
tcf(c_119527,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_26006]) ).
tcf(c_119528,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_26006]) ).
tcf(c_119529,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_26006]) ).
tcf(c_119530,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71719,c_26006]) ).
tcf(c_119531,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_26006]) ).
tcf(c_119532,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_26006]) ).
tcf(c_119533,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_26006]) ).
tcf(c_119534,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_26006]) ).
tcf(c_119535,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110669,c_26006]) ).
tcf(c_119536,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_109]) ).
tcf(c_119537,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_12741]) ).
tcf(c_119538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_11962]) ).
tcf(c_119539,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_8700]) ).
tcf(c_119540,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_3979]) ).
tcf(c_119541,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_26006,c_110]) ).
tcf(c_119542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_73]) ).
tcf(c_119543,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_12745]) ).
tcf(c_119544,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_12182]) ).
tcf(c_119545,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_8702]) ).
tcf(c_119546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_5910]) ).
tcf(c_119547,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_47638]) ).
tcf(c_119548,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_45030]) ).
tcf(c_119812,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_19438,c_109]) ).
tcf(c_119815,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_19438,c_8700]) ).
tcf(c_119817,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_19438,c_110]) ).
tcf(c_119819,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_19438,c_115229]) ).
tcf(c_119820,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_19438,c_41840]) ).
tcf(c_119822,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119812,c_103]) ).
tcf(c_119831,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119817,c_103]) ).
tcf(c_119839,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119815,c_103]) ).
tcf(c_119850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_70]) ).
tcf(c_119851,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_75560]) ).
tcf(c_119852,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_75392]) ).
tcf(c_119853,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28048,c_24035]) ).
tcf(c_119854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28048,c_17825]) ).
tcf(c_119855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28048,c_17392]) ).
tcf(c_119856,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28048,c_14477]) ).
tcf(c_119857,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_5155]) ).
tcf(c_119860,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_28048,c_75]) ).
tcf(c_119862,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_145]) ).
tcf(c_119863,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_84]) ).
tcf(c_119864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_28048,c_70]) ).
tcf(c_119865,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) ) ),
inference(superposition,[status(thm)],[c_28048,c_76]) ).
tcf(c_119866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_68]) ).
tcf(c_119867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_68]) ).
tcf(c_119868,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28048,c_98]) ).
tcf(c_119869,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_28048,c_77]) ).
tcf(c_119870,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(forward_subsumption_resolution,[status(thm)],[c_119863,c_50,c_27911]) ).
tcf(c_119871,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(forward_subsumption_resolution,[status(thm)],[c_119862,c_50,c_27911]) ).
tcf(c_119872,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_119860,c_11841,c_50,c_27911]) ).
tcf(c_119873,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119857,c_50,c_27911]) ).
tcf(c_119876,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119869,c_50,c_27911]) ).
tcf(c_119880,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119868,c_50,c_27911]) ).
tcf(c_119885,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119865,c_50,c_27911]) ).
tcf(c_119889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119867,c_50,c_27911]) ).
tcf(c_119894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119866,c_50,c_27911]) ).
tcf(c_119899,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119852,c_50,c_27911]) ).
tcf(c_119904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119864,c_50,c_27911]) ).
tcf(c_119909,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119856,c_50,c_27911]) ).
tcf(c_119914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119850,c_50,c_27911]) ).
tcf(c_119919,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119853,c_50,c_27911]) ).
tcf(c_119925,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119851,c_50,c_27911]) ).
tcf(c_119931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119855,c_50,c_27911]) ).
tcf(c_119939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119854,c_50,c_27911]) ).
tcf(c_119969,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_119870,c_112581]) ).
tcf(c_119970,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_119870,c_3370]) ).
tcf(c_119971,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_119870,c_3010]) ).
tcf(c_119972,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2785]) ).
tcf(c_119973,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2781]) ).
tcf(c_119974,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2780]) ).
tcf(c_119975,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_119870,c_27869]) ).
tcf(c_119976,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2777]) ).
tcf(c_119977,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_119870,c_13871]) ).
tcf(c_119978,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2776]) ).
tcf(c_119979,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2775]) ).
tcf(c_119980,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2709]) ).
tcf(c_119981,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2705]) ).
tcf(c_119982,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2704]) ).
tcf(c_119983,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2701]) ).
tcf(c_119984,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2700]) ).
tcf(c_119985,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(superposition,[status(thm)],[c_119870,c_2699]) ).
tcf(c_119986,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119870,c_79]) ).
tcf(c_119987,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119870,c_78]) ).
tcf(c_119988,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119870,c_95]) ).
tcf(c_119989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119870,c_82]) ).
tcf(c_119990,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119870,c_152]) ).
tcf(c_119991,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119870,c_96]) ).
tcf(c_119992,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119870,c_83]) ).
tcf(c_119993,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sz00,
inference(superposition,[status(thm)],[c_119870,c_94]) ).
tcf(c_119994,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sz00,
inference(superposition,[status(thm)],[c_119870,c_93]) ).
tcf(c_119995,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_119870,c_81]) ).
tcf(c_119996,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(superposition,[status(thm)],[c_119870,c_80]) ).
tcf(c_120063,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_17072,c_109]) ).
tcf(c_120068,plain,
( ( sdtpldt0(xl,xp) = xq )
| ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xq) ),
inference(superposition,[status(thm)],[c_17072,c_110]) ).
tcf(c_120069,plain,
( ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp)) ),
inference(superposition,[status(thm)],[c_17072,c_73]) ).
tcf(c_120070,plain,
( ( sdtpldt0(xl,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xp))) = sdtpldt0(xl,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120069,c_62,c_16905]) ).
tcf(c_120073,plain,
( ( sdtpldt0(xl,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xl,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120068,c_16906,c_62,c_16905]) ).
tcf(c_120076,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xp))
| ( sdtpldt0(xl,xp) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120063,c_62,c_16905]) ).
tcf(c_120184,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28359,c_109]) ).
tcf(c_120189,plain,
( ( sdtpldt0(xm,xp) = xq )
| ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xq) ),
inference(superposition,[status(thm)],[c_28359,c_110]) ).
tcf(c_120190,plain,
( ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28359,c_73]) ).
tcf(c_120191,plain,
( ( sdtpldt0(xm,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xp))) = sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120190,c_62,c_28177]) ).
tcf(c_120194,plain,
( ( sdtpldt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xm,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120189,c_28178,c_62,c_28177]) ).
tcf(c_120197,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ( sdtpldt0(xm,xp) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120184,c_62,c_28177]) ).
tcf(c_120238,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_70294,c_119909]) ).
tcf(c_120239,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_11984,c_119909]) ).
tcf(c_120241,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) ),
inference(superposition,[status(thm)],[c_108,c_119909]) ).
tcf(c_120244,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp)))) ),
inference(light_normalisation,[status(thm)],[c_120238,c_2464]) ).
tcf(c_120263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_24194]) ).
tcf(c_120264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_24194]) ).
tcf(c_120265,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_24194]) ).
tcf(c_120266,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_24194]) ).
tcf(c_120267,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_24194]) ).
tcf(c_120268,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_24194]) ).
tcf(c_120269,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3961,c_24194]) ).
tcf(c_120270,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_24194]) ).
tcf(c_120271,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_24194]) ).
tcf(c_120272,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_24194]) ).
tcf(c_120273,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15621,c_24194]) ).
tcf(c_120274,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_24194]) ).
tcf(c_120275,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_24194]) ).
tcf(c_120276,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_24194]) ).
tcf(c_120277,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_24194]) ).
tcf(c_120278,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_24194]) ).
tcf(c_120279,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_24194]) ).
tcf(c_120280,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_24194]) ).
tcf(c_120281,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_24194]) ).
tcf(c_120282,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6346,c_24194]) ).
tcf(c_120283,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_24194]) ).
tcf(c_120284,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_24194]) ).
tcf(c_120286,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_24194]) ).
tcf(c_120287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26025,c_24194]) ).
tcf(c_120288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_24194]) ).
tcf(c_120290,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_24194]) ).
tcf(c_120291,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_24194]) ).
tcf(c_120292,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),X1)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111576,c_24194]) ).
tcf(c_120293,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25634,c_24194]) ).
tcf(c_120294,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25635,c_24194]) ).
tcf(c_120295,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25636,c_24194]) ).
tcf(c_120296,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_25640,c_24194]) ).
tcf(c_120297,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120280,c_49]) ).
tcf(c_120305,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120279,c_103]) ).
tcf(c_120313,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xq)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120278,c_103]) ).
tcf(c_120321,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xn)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120277,c_103]) ).
tcf(c_120329,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120276,c_103]) ).
tcf(c_120337,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xl)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120274,c_103]) ).
tcf(c_120347,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120267,c_59]) ).
tcf(c_120363,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120273,c_103]) ).
tcf(c_120380,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120281,c_62]) ).
tcf(c_120456,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120284,c_103]) ).
tcf(c_120467,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120275,c_103]) ).
tcf(c_120494,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120283,c_103]) ).
tcf(c_120529,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120272,c_103]) ).
tcf(c_120538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120271,c_103]) ).
tcf(c_120547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120291,c_103]) ).
tcf(c_120560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120290,c_103]) ).
tcf(c_120602,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_120287]) ).
tcf(c_120603,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_120287]) ).
tcf(c_120605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_120287]) ).
tcf(c_120606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_120287]) ).
tcf(c_120609,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_120287]) ).
tcf(c_120611,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2476,c_120287]) ).
tcf(c_120615,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_120287]) ).
tcf(c_120617,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_120287]) ).
tcf(c_120626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_120287]) ).
tcf(c_120636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_120287]) ).
tcf(c_120639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_120287]) ).
tcf(c_120640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_120287]) ).
tcf(c_120642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_120287]) ).
tcf(c_120643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_120287]) ).
tcf(c_120644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_120287]) ).
tcf(c_120646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_120287]) ).
tcf(c_120647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_120287]) ).
tcf(c_120648,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120611,c_2476]) ).
tcf(c_120649,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120648,c_62]) ).
tcf(c_120658,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120609,c_2472]) ).
tcf(c_120659,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120658,c_51]) ).
tcf(c_120668,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120606,c_2465]) ).
tcf(c_120670,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120605,c_103]) ).
tcf(c_120681,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120617,c_3040]) ).
tcf(c_120682,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120681,c_62]) ).
tcf(c_120692,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120615,c_3044]) ).
tcf(c_120693,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120692,c_51]) ).
tcf(c_120703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120647,c_110669]) ).
tcf(c_120704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120703,c_110686]) ).
tcf(c_120713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120646,c_110555]) ).
tcf(c_120714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120713,c_110577]) ).
tcf(c_120723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120644,c_81798]) ).
tcf(c_120724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120723,c_81668]) ).
tcf(c_120733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120643,c_81493]) ).
tcf(c_120734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120733,c_81151]) ).
tcf(c_120743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120642,c_71719]) ).
tcf(c_120744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120743,c_71595]) ).
tcf(c_120753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120640,c_69132]) ).
tcf(c_120754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120753,c_68944]) ).
tcf(c_120763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120639,c_62808]) ).
tcf(c_120764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xn),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120763,c_62562]) ).
tcf(c_120773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120636,c_42808]) ).
tcf(c_120774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120773,c_42683]) ).
tcf(c_120783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120626,c_105387]) ).
tcf(c_120784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xq),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120783,c_104482]) ).
tcf(c_120793,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120603,c_103]) ).
tcf(c_120806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120602,c_2464]) ).
tcf(c_120825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_25649]) ).
tcf(c_120826,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X2)))
| sdtlseqdt0(sdtpldt0(X0,X1),sK2(sz00,sK2(xq,xp)))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_68,c_25649]) ).
tcf(c_120827,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X2,X1)))
| sdtlseqdt0(sdtpldt0(X0,X1),sK2(sz00,sK2(xq,xp)))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70,c_25649]) ).
tcf(c_120828,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_145,c_25649]) ).
tcf(c_120829,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85,c_25649]) ).
tcf(c_120830,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X2)))
| sdtlseqdt0(sdtasdt0(X0,X1),sK2(sz00,sK2(xq,xp)))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87,c_25649]) ).
tcf(c_120831,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X2,X1)))
| sdtlseqdt0(sdtasdt0(X0,X1),sK2(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_89,c_25649]) ).
tcf(c_120833,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_25649]) ).
tcf(c_120834,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_25649]) ).
tcf(c_120835,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_25649]) ).
tcf(c_120836,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_25649]) ).
tcf(c_120837,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sz00))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2614,c_25649]) ).
tcf(c_120838,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2629,c_25649]) ).
tcf(c_120839,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2628,c_25649]) ).
tcf(c_120840,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2627,c_25649]) ).
tcf(c_120841,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2626,c_25649]) ).
tcf(c_120842,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2625,c_25649]) ).
tcf(c_120843,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2622,c_25649]) ).
tcf(c_120844,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2621,c_25649]) ).
tcf(c_120845,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2620,c_25649]) ).
tcf(c_120846,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2619,c_25649]) ).
tcf(c_120847,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2616,c_25649]) ).
tcf(c_120848,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2615,c_25649]) ).
tcf(c_120849,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2649,c_25649]) ).
tcf(c_120850,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_25649]) ).
tcf(c_120851,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xq))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_25649]) ).
tcf(c_120852,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12338,c_25649]) ).
tcf(c_120853,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110760,c_25649]) ).
tcf(c_120854,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_25649]) ).
tcf(c_120855,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_25649]) ).
tcf(c_120856,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3970,c_25649]) ).
tcf(c_120858,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_25649]) ).
tcf(c_120859,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3961,c_25649]) ).
tcf(c_120860,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_25649]) ).
tcf(c_120861,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_25649]) ).
tcf(c_120862,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_25649]) ).
tcf(c_120863,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15621,c_25649]) ).
tcf(c_120864,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_25649]) ).
tcf(c_120865,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_25649]) ).
tcf(c_120866,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_25649]) ).
tcf(c_120867,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_25649]) ).
tcf(c_120868,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_25649]) ).
tcf(c_120869,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_25649]) ).
tcf(c_120870,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3535,c_25649]) ).
tcf(c_120871,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_25649]) ).
tcf(c_120872,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_25649]) ).
tcf(c_120873,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_25649]) ).
tcf(c_120874,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_25649]) ).
tcf(c_120875,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xl))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_25649]) ).
tcf(c_120876,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xn))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_25649]) ).
tcf(c_120877,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_25649]) ).
tcf(c_120878,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_25649]) ).
tcf(c_120879,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_5155,c_25649]) ).
tcf(c_120880,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_5229,c_25649]) ).
tcf(c_120881,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_63182,c_25649]) ).
tcf(c_120882,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6208,c_25649]) ).
tcf(c_120883,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4136,c_25649]) ).
tcf(c_120884,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65297,c_25649]) ).
tcf(c_120885,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4930,c_25649]) ).
tcf(c_120886,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4130,c_25649]) ).
tcf(c_120887,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4225,c_25649]) ).
tcf(c_120888,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6430,c_25649]) ).
tcf(c_120889,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6431,c_25649]) ).
tcf(c_120890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6346,c_25649]) ).
tcf(c_120891,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_25649]) ).
tcf(c_120892,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_25649]) ).
tcf(c_120893,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102402,c_25649]) ).
tcf(c_120894,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98484,c_25649]) ).
tcf(c_120895,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_25649]) ).
tcf(c_120896,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75560,c_25649]) ).
tcf(c_120897,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12751,c_25649]) ).
tcf(c_120898,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6345,c_25649]) ).
tcf(c_120899,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6515,c_25649]) ).
tcf(c_120900,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11906,c_25649]) ).
tcf(c_120901,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_8706,c_25649]) ).
tcf(c_120902,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6346,c_25649]) ).
tcf(c_120903,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102212,c_25649]) ).
tcf(c_120904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_25649]) ).
tcf(c_120905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_25649]) ).
tcf(c_120907,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12725,c_25649]) ).
tcf(c_120908,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6696,c_25649]) ).
tcf(c_120909,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6431,c_25649]) ).
tcf(c_120910,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6345,c_25649]) ).
tcf(c_120911,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_90734,c_25649]) ).
tcf(c_120912,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_106022,c_25649]) ).
tcf(c_120913,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15739,c_25649]) ).
tcf(c_120914,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6430,c_25649]) ).
tcf(c_120915,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10464,c_25649]) ).
tcf(c_120916,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10380,c_25649]) ).
tcf(c_120917,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110891,c_25649]) ).
tcf(c_120918,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7120,c_25649]) ).
tcf(c_120919,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_7066,c_25649]) ).
tcf(c_120920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_25649]) ).
tcf(c_120921,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_25649]) ).
tcf(c_120922,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_21787,c_25649]) ).
tcf(c_120923,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_25649]) ).
tcf(c_120924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_25649]) ).
tcf(c_120925,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_25649]) ).
tcf(c_120926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_25649]) ).
tcf(c_120927,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_25649]) ).
tcf(c_120928,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_25649]) ).
tcf(c_120929,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_25649]) ).
tcf(c_120930,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_25649]) ).
tcf(c_120931,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_25649]) ).
tcf(c_120932,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_25649]) ).
tcf(c_120933,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_25649]) ).
tcf(c_120934,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_25649]) ).
tcf(c_120936,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_25649]) ).
tcf(c_120937,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_25649]) ).
tcf(c_120938,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_25649]) ).
tcf(c_120939,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_25649]) ).
tcf(c_120940,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_25649]) ).
tcf(c_120947,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15721,c_25649]) ).
tcf(c_120948,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10395,c_25649]) ).
tcf(c_120949,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111576,c_25649]) ).
tcf(c_120950,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75560,c_25649]) ).
tcf(c_120951,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_25649]) ).
tcf(c_120952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102402,c_25649]) ).
tcf(c_120953,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102212,c_25649]) ).
tcf(c_120954,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_106145,c_25649]) ).
tcf(c_120955,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(superposition,[status(thm)],[c_113393,c_25649]) ).
tcf(c_120956,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14663,c_25649]) ).
tcf(c_120957,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14662,c_25649]) ).
tcf(c_120958,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_20854,c_25649]) ).
tcf(c_120959,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65353,c_25649]) ).
tcf(c_120960,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14858,c_25649]) ).
tcf(c_120961,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14857,c_25649]) ).
tcf(c_120962,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_21250,c_25649]) ).
tcf(c_120963,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_34388,c_25649]) ).
tcf(c_120964,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_44733,c_25649]) ).
tcf(c_120965,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115108,c_25649]) ).
tcf(c_120966,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35146,c_25649]) ).
tcf(c_120967,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_25649]) ).
tcf(c_120968,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_25649]) ).
tcf(c_120969,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_115515,c_25649]) ).
tcf(c_120970,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_98741,c_25649]) ).
tcf(c_120971,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_43085,c_25649]) ).
tcf(c_120972,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_31325,c_25649]) ).
tcf(c_120973,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_34468,c_25649]) ).
tcf(c_120974,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_40181,c_25649]) ).
tcf(c_120975,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115577,c_25649]) ).
tcf(c_120976,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102548,c_25649]) ).
tcf(c_120977,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_76965,c_25649]) ).
tcf(c_120978,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_25649]) ).
tcf(c_120979,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70935,c_25649]) ).
tcf(c_120980,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_51524,c_25649]) ).
tcf(c_120981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49956,c_25649]) ).
tcf(c_120982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_25649]) ).
tcf(c_120983,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_39205,c_25649]) ).
tcf(c_120984,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31828,c_25649]) ).
tcf(c_120985,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31012,c_25649]) ).
tcf(c_120986,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_16583,c_25649]) ).
tcf(c_120987,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32019,c_25649]) ).
tcf(c_120988,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20099,c_25649]) ).
tcf(c_120989,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17072,c_25649]) ).
tcf(c_120990,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16907,c_25649]) ).
tcf(c_120991,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_22560,c_25649]) ).
tcf(c_120992,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_22802,c_25649]) ).
tcf(c_120993,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_17111,c_25649]) ).
tcf(c_120994,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_22921,c_25649]) ).
tcf(c_120995,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_21198,c_25649]) ).
tcf(c_120996,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_21744,c_25649]) ).
tcf(c_120997,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_20120,c_25649]) ).
tcf(c_120998,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_20939,c_25649]) ).
tcf(c_120999,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_55521,c_25649]) ).
tcf(c_121000,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_21197,c_25649]) ).
tcf(c_121001,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107113,c_25649]) ).
tcf(c_121002,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21528,c_25649]) ).
tcf(c_121003,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_61396,c_25649]) ).
tcf(c_121004,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_21743,c_25649]) ).
tcf(c_121005,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22297,c_25649]) ).
tcf(c_121006,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_69612,c_25649]) ).
tcf(c_121007,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_22801,c_25649]) ).
tcf(c_121008,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_23008,c_25649]) ).
tcf(c_121009,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xl)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_25649]) ).
tcf(c_121010,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xm)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_25649]) ).
tcf(c_121011,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xn)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_25649]) ).
tcf(c_121012,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_25649]) ).
tcf(c_121013,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xq)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_25649]) ).
tcf(c_121014,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_49956,c_25649]) ).
tcf(c_121015,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(superposition,[status(thm)],[c_46832,c_25649]) ).
tcf(c_121016,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_25649]) ).
tcf(c_121017,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_25649]) ).
tcf(c_121018,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_25649]) ).
tcf(c_121019,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_25649]) ).
tcf(c_121020,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_25649]) ).
tcf(c_121021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_25649]) ).
tcf(c_121022,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_46773,c_25649]) ).
tcf(c_121023,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_25649]) ).
tcf(c_121024,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_25649]) ).
tcf(c_121025,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_25649]) ).
tcf(c_121026,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_25649]) ).
tcf(c_121027,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_25649]) ).
tcf(c_121028,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_25649]) ).
tcf(c_121029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_25649]) ).
tcf(c_121034,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_27912,c_25649]) ).
tcf(c_121035,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28359,c_25649]) ).
tcf(c_121036,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28179,c_25649]) ).
tcf(c_121037,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_33838,c_25649]) ).
tcf(c_121038,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_34781,c_25649]) ).
tcf(c_121039,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_99238,c_25649]) ).
tcf(c_121040,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_88871,c_25649]) ).
tcf(c_121041,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65681,c_25649]) ).
tcf(c_121042,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29401,c_25649]) ).
tcf(c_121043,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_34844,c_25649]) ).
tcf(c_121044,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_29701,c_25649]) ).
tcf(c_121045,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30206,c_25649]) ).
tcf(c_121046,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_31387,c_25649]) ).
tcf(c_121047,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_110931,c_25649]) ).
tcf(c_121048,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_32039,c_25649]) ).
tcf(c_121049,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_110594,c_25649]) ).
tcf(c_121050,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110885,c_25649]) ).
tcf(c_121051,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_117770,c_25649]) ).
tcf(c_121052,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_34780,c_25649]) ).
tcf(c_121053,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_35063,c_25649]) ).
tcf(c_121054,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_40027,c_25649]) ).
tcf(c_121055,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_50559,c_25649]) ).
tcf(c_121056,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41578,c_25649]) ).
tcf(c_121057,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_48220,c_25649]) ).
tcf(c_121058,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_48493,c_25649]) ).
tcf(c_121059,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42684,c_25649]) ).
tcf(c_121060,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42743,c_25649]) ).
tcf(c_121061,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_48634,c_25649]) ).
tcf(c_121062,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49314,c_25649]) ).
tcf(c_121063,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_106486,c_25649]) ).
tcf(c_121064,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_48492,c_25649]) ).
tcf(c_121065,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xq)))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49289,c_25649]) ).
tcf(c_121066,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_58662,c_25649]) ).
tcf(c_121067,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111069,c_25649]) ).
tcf(c_121068,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59554,c_25649]) ).
tcf(c_121069,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xq)))
| sdtlseqdt0(sdtpldt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_59915,c_25649]) ).
tcf(c_121070,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_61119,c_25649]) ).
tcf(c_121071,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_61934,c_25649]) ).
tcf(c_121072,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_61933,c_25649]) ).
tcf(c_121073,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_66926,c_25649]) ).
tcf(c_121074,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79246,c_25649]) ).
tcf(c_121075,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62565,c_25649]) ).
tcf(c_121076,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62564,c_25649]) ).
tcf(c_121077,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67625,c_25649]) ).
tcf(c_121078,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67461,c_25649]) ).
tcf(c_121079,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67936,c_25649]) ).
tcf(c_121080,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67963,c_25649]) ).
tcf(c_121081,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73703,c_25649]) ).
tcf(c_121082,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65356,c_25649]) ).
tcf(c_121083,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65350,c_25649]) ).
tcf(c_121084,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65335,c_25649]) ).
tcf(c_121085,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65326,c_25649]) ).
tcf(c_121086,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107761,c_25649]) ).
tcf(c_121087,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73050,c_25649]) ).
tcf(c_121088,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73035,c_25649]) ).
tcf(c_121089,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xm)))
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67460,c_25649]) ).
tcf(c_121090,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xn)))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67935,c_25649]) ).
tcf(c_121091,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_68947,c_25649]) ).
tcf(c_121092,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_68946,c_25649]) ).
tcf(c_121093,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_74732,c_25649]) ).
tcf(c_121094,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71321,c_25649]) ).
tcf(c_121095,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_78457,c_25649]) ).
tcf(c_121096,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79025,c_25649]) ).
tcf(c_121097,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71597,c_25649]) ).
tcf(c_121098,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79329,c_25649]) ).
tcf(c_121099,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75066,c_25649]) ).
tcf(c_121100,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75093,c_25649]) ).
tcf(c_121101,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79994,c_25649]) ).
tcf(c_121102,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xn)))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75065,c_25649]) ).
tcf(c_121103,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77128,c_25649]) ).
tcf(c_121104,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_76965,c_25649]) ).
tcf(c_121105,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_77305,c_25649]) ).
tcf(c_121106,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xp)))
| sdtlseqdt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110882,c_25649]) ).
tcf(c_121107,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xp)))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79024,c_25649]) ).
tcf(c_121108,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79272,c_25649]) ).
tcf(c_121109,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xq)))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79969,c_25649]) ).
tcf(c_121110,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_80040,c_25649]) ).
tcf(c_121111,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81153,c_25649]) ).
tcf(c_121112,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85231,c_25649]) ).
tcf(c_121113,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xq)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81670,c_25649]) ).
tcf(c_121114,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85628,c_25649]) ).
tcf(c_121115,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85524,c_25649]) ).
tcf(c_121116,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85551,c_25649]) ).
tcf(c_121117,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_86521,c_25649]) ).
tcf(c_121118,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_86548,c_25649]) ).
tcf(c_121119,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_83121,c_25649]) ).
tcf(c_121120,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xp)))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85523,c_25649]) ).
tcf(c_121121,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xn,xq)))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_86520,c_25649]) ).
tcf(c_121122,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(xq,xm),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xm),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_105194,c_25649]) ).
tcf(c_121123,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_93263,c_25649]) ).
tcf(c_121124,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_93290,c_25649]) ).
tcf(c_121125,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_101595,c_25649]) ).
tcf(c_121126,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103031,c_25649]) ).
tcf(c_121127,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_102548,c_25649]) ).
tcf(c_121128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(superposition,[status(thm)],[c_103616,c_25649]) ).
tcf(c_121129,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_103136,c_25649]) ).
tcf(c_121130,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_103772,c_25649]) ).
tcf(c_121131,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xq)))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111107,c_25649]) ).
tcf(c_121132,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xq,xq)))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110565,c_25649]) ).
tcf(c_121133,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105594,c_25649]) ).
tcf(c_121134,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_106964,c_25649]) ).
tcf(c_121135,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(xq,xm),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xm),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(superposition,[status(thm)],[c_113260,c_25649]) ).
tcf(c_121136,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xp,xq)))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_106939,c_25649]) ).
tcf(c_121137,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xm))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(xq,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm))) ),
inference(superposition,[status(thm)],[c_108345,c_25649]) ).
tcf(c_121138,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_107885,c_25649]) ).
tcf(c_121139,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_108728,c_25649]) ).
tcf(c_121140,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110544,c_25649]) ).
tcf(c_121141,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110546,c_25649]) ).
tcf(c_121142,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xq,xq)))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110552,c_25649]) ).
tcf(c_121143,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xq,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110554,c_25649]) ).
tcf(c_121144,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110685,c_25649]) ).
tcf(c_121145,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,xq)))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110666,c_25649]) ).
tcf(c_121146,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110668,c_25649]) ).
tcf(c_121147,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110945,c_25649]) ).
tcf(c_121148,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110974,c_25649]) ).
tcf(c_121149,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xp)))
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110980,c_25649]) ).
tcf(c_121150,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110982,c_25649]) ).
tcf(c_121151,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110995,c_25649]) ).
tcf(c_121164,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121070,c_2471]) ).
tcf(c_121166,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120884,c_2471]) ).
tcf(c_121168,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120852,c_2471]) ).
tcf(c_121170,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120849,c_2475]) ).
tcf(c_121172,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120848,c_2476]) ).
tcf(c_121174,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120847,c_2475]) ).
tcf(c_121176,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120846,c_2472]) ).
tcf(c_121178,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120845,c_2471]) ).
tcf(c_121180,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120844,c_2470]) ).
tcf(c_121182,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120886,c_2472]) ).
tcf(c_121184,plain,
( sdtlseqdt0(xl,xp)
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120883,c_2470]) ).
tcf(c_121186,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120877,c_49]) ).
tcf(c_121194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120876,c_2472]) ).
tcf(c_121195,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121194,c_51]) ).
tcf(c_121203,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120875,c_2470]) ).
tcf(c_121204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121203,c_49]) ).
tcf(c_121212,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120874,c_2471]) ).
tcf(c_121213,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121212,c_50]) ).
tcf(c_121221,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120873,c_2471]) ).
tcf(c_121222,plain,
! [X0: $i] :
( sdtlseqdt0(xl,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121221,c_50]) ).
tcf(c_121230,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120872,c_2471]) ).
tcf(c_121231,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121230,c_50]) ).
tcf(c_121239,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120871,c_2471]) ).
tcf(c_121240,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121239,c_50]) ).
tcf(c_121248,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120869,c_103]) ).
tcf(c_121256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120868,c_103]) ).
tcf(c_121264,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120867,c_103]) ).
tcf(c_121272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120866,c_103]) ).
tcf(c_121280,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120864,c_103]) ).
tcf(c_121289,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120858,c_62]) ).
tcf(c_121297,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120854,c_2475]) ).
tcf(c_121298,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121297,c_59]) ).
tcf(c_121306,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120851,c_2476]) ).
tcf(c_121307,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121306,c_62]) ).
tcf(c_121315,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120850,c_59]) ).
tcf(c_121339,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120863,c_103]) ).
tcf(c_121391,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121151,c_110983]) ).
tcf(c_121392,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121391,c_59,c_110996]) ).
tcf(c_121398,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121150,c_110983]) ).
tcf(c_121399,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121398,c_103,c_110996]) ).
tcf(c_121405,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121146,c_110669]) ).
tcf(c_121406,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121405,c_103,c_110686]) ).
tcf(c_121412,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121144,c_110669]) ).
tcf(c_121413,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121412,c_62,c_110686]) ).
tcf(c_121419,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121143,c_110555]) ).
tcf(c_121420,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121419,c_103,c_110577]) ).
tcf(c_121426,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121133,c_105387]) ).
tcf(c_121427,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121426,c_62,c_104482]) ).
tcf(c_121433,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121114,c_81798]) ).
tcf(c_121434,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121433,c_103,c_81668]) ).
tcf(c_121440,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121112,c_81493]) ).
tcf(c_121441,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121440,c_103,c_81151]) ).
tcf(c_121447,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121098,c_71719]) ).
tcf(c_121448,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121447,c_103,c_71595]) ).
tcf(c_121454,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121097,c_71719]) ).
tcf(c_121455,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121454,c_62,c_71595]) ).
tcf(c_121461,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121095,c_71443]) ).
tcf(c_121462,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121461,c_103,c_71319]) ).
tcf(c_121468,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121094,c_71443]) ).
tcf(c_121469,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121468,c_59,c_71319]) ).
tcf(c_121475,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121093,c_69132]) ).
tcf(c_121476,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121475,c_103,c_68944]) ).
tcf(c_121482,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121092,c_69132]) ).
tcf(c_121483,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121482,c_51,c_68944]) ).
tcf(c_121489,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121077,c_62808]) ).
tcf(c_121490,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121489,c_103,c_62562]) ).
tcf(c_121496,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121076,c_62808]) ).
tcf(c_121497,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121496,c_51,c_62562]) ).
tcf(c_121503,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121073,c_62097]) ).
tcf(c_121504,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121503,c_103,c_61931]) ).
tcf(c_121510,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121072,c_62097]) ).
tcf(c_121511,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121510,c_50,c_61931]) ).
tcf(c_121517,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121068,c_59324]) ).
tcf(c_121518,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121517,c_103,c_58661]) ).
tcf(c_121524,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121067,c_59324]) ).
tcf(c_121525,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121524,c_59,c_58661]) ).
tcf(c_121531,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121066,c_59324]) ).
tcf(c_121532,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121531,c_62,c_58661]) ).
tcf(c_121538,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121063,c_105387]) ).
tcf(c_121539,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121538,c_103,c_104482]) ).
tcf(c_121545,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121061,c_42808]) ).
tcf(c_121546,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121545,c_103,c_42683]) ).
tcf(c_121552,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121059,c_42808]) ).
tcf(c_121553,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121552,c_62,c_42683]) ).
tcf(c_121559,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121057,c_41659]) ).
tcf(c_121560,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121559,c_103,c_41576]) ).
tcf(c_121566,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121056,c_41659]) ).
tcf(c_121567,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121566,c_59,c_41576]) ).
tcf(c_121573,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121051,c_110886]) ).
tcf(c_121574,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121573,c_62,c_110903]) ).
tcf(c_121580,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121050,c_110886]) ).
tcf(c_121581,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121580,c_103,c_110903]) ).
tcf(c_121587,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121044,c_2537]) ).
tcf(c_121588,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121587,c_51,c_2518]) ).
tcf(c_121594,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121043,c_29587]) ).
tcf(c_121595,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121594,c_103,c_29400]) ).
tcf(c_121601,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121042,c_29587]) ).
tcf(c_121602,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121601,c_62,c_29400]) ).
tcf(c_121608,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121037,c_28256]) ).
tcf(c_121609,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121608,c_103,c_28177]) ).
tcf(c_121615,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121036,c_28256]) ).
tcf(c_121616,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121615,c_59,c_28177]) ).
tcf(c_121622,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120994,c_17183]) ).
tcf(c_121623,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121622,c_103,c_17110]) ).
tcf(c_121629,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120993,c_17183]) ).
tcf(c_121630,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121629,c_62,c_17110]) ).
tcf(c_121636,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120991,c_16965]) ).
tcf(c_121637,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121636,c_103,c_16905]) ).
tcf(c_121643,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120990,c_16965]) ).
tcf(c_121644,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121643,c_59,c_16905]) ).
tcf(c_121650,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120962,c_15047]) ).
tcf(c_121651,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121650,c_103,c_14856]) ).
tcf(c_121657,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120961,c_15047]) ).
tcf(c_121658,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121657,c_51,c_14856]) ).
tcf(c_121664,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120958,c_14759]) ).
tcf(c_121665,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121664,c_103,c_14661]) ).
tcf(c_121671,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120957,c_14759]) ).
tcf(c_121672,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121671,c_50,c_14661]) ).
tcf(c_121678,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120917,c_110886]) ).
tcf(c_121679,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121678,c_59,c_110903]) ).
tcf(c_121685,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120881,c_2537]) ).
tcf(c_121686,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121685,c_62,c_2518]) ).
tcf(c_121692,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120870,c_2537]) ).
tcf(c_121693,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121692,c_103,c_2518]) ).
tcf(c_121699,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120838,c_2537]) ).
tcf(c_121700,plain,
( sdtlseqdt0(xm,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121699,c_50,c_2518]) ).
tcf(c_121722,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120885,c_2475]) ).
tcf(c_121723,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121722,c_59,c_51]) ).
tcf(c_121730,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120882,c_2475]) ).
tcf(c_121731,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,xl)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121730,c_59,c_49]) ).
tcf(c_121738,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120859,c_62]) ).
tcf(c_121746,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120856,c_2475]) ).
tcf(c_121747,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121746,c_59]) ).
tcf(c_121755,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121148,c_2475]) ).
tcf(c_121756,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121755,c_59,c_110996]) ).
tcf(c_121763,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121147,c_2471]) ).
tcf(c_121764,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121763,c_50,c_110996]) ).
tcf(c_121771,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121141,c_2475]) ).
tcf(c_121772,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121771,c_59,c_110577]) ).
tcf(c_121779,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121140,c_2471]) ).
tcf(c_121780,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121779,c_50,c_110577]) ).
tcf(c_121787,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121124,c_2471]) ).
tcf(c_121788,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121787,c_50,c_81668]) ).
tcf(c_121795,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121123,c_2471]) ).
tcf(c_121796,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121795,c_50,c_81151]) ).
tcf(c_121803,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121119,c_2471]) ).
tcf(c_121804,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121803,c_50,c_71319]) ).
tcf(c_121811,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121117,c_2475]) ).
tcf(c_121812,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121811,c_59,c_81668]) ).
tcf(c_121819,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121115,c_2475]) ).
tcf(c_121820,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121819,c_59,c_81151]) ).
tcf(c_121827,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121110,c_2471]) ).
tcf(c_121828,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121827,c_50,c_68944]) ).
tcf(c_121835,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121108,c_2471]) ).
tcf(c_121836,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121835,c_50,c_62562]) ).
tcf(c_121843,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121099,c_2475]) ).
tcf(c_121844,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121843,c_59,c_68944]) ).
tcf(c_121851,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121096,c_2475]) ).
tcf(c_121852,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121851,c_59,c_71319]) ).
tcf(c_121859,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121091,c_69132]) ).
tcf(c_121860,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121859,c_62,c_68944]) ).
tcf(c_121867,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121085,c_2471]) ).
tcf(c_121868,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121867,c_50,c_41576]) ).
tcf(c_121875,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121084,c_2471]) ).
tcf(c_121876,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121875,c_50,c_28177]) ).
tcf(c_121883,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121083,c_2471]) ).
tcf(c_121884,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121883,c_50,c_14856]) ).
tcf(c_121891,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121082,c_2471]) ).
tcf(c_121892,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121891,c_50,c_16905]) ).
tcf(c_121899,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121079,c_2475]) ).
tcf(c_121900,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121899,c_59,c_62562]) ).
tcf(c_121907,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121078,c_2475]) ).
tcf(c_121908,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121907,c_59,c_61931]) ).
tcf(c_121915,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121075,c_62808]) ).
tcf(c_121916,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121915,c_62,c_62562]) ).
tcf(c_121923,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121074,c_2471]) ).
tcf(c_121924,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121923,c_50,c_61931]) ).
tcf(c_121931,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121071,c_62097]) ).
tcf(c_121932,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121931,c_62,c_61931]) ).
tcf(c_121939,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121058,c_2475]) ).
tcf(c_121940,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121939,c_59,c_41576]) ).
tcf(c_121947,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121038,c_2475]) ).
tcf(c_121948,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121947,c_59,c_28177]) ).
tcf(c_121955,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120996,c_2475]) ).
tcf(c_121956,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121955,c_59,c_14856]) ).
tcf(c_121963,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120995,c_2475]) ).
tcf(c_121964,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121963,c_59,c_14661]) ).
tcf(c_121971,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120992,c_2475]) ).
tcf(c_121972,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121971,c_59,c_16905]) ).
tcf(c_121979,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120960,c_15047]) ).
tcf(c_121980,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121979,c_62,c_14856]) ).
tcf(c_121987,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120959,c_2471]) ).
tcf(c_121988,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121987,c_50,c_14661]) ).
tcf(c_121995,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120956,c_14759]) ).
tcf(c_121996,plain,
( sdtlseqdt0(xm,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121995,c_62,c_14661]) ).
tcf(c_122003,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120878,c_62]) ).
tcf(c_122013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120855,c_2475]) ).
tcf(c_122014,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122013,c_59]) ).
tcf(c_122032,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121132,c_110555]) ).
tcf(c_122033,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xq,xq))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122032,c_62,c_110577]) ).
tcf(c_122040,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121131,c_105387]) ).
tcf(c_122041,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xp,xq))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122040,c_59,c_104482]) ).
tcf(c_122048,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121113,c_81798]) ).
tcf(c_122049,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xq))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122048,c_62,c_81668]) ).
tcf(c_122056,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121111,c_81493]) ).
tcf(c_122057,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122056,c_59,c_81151]) ).
tcf(c_122064,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120948,c_51]) ).
tcf(c_122072,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120916,c_62]) ).
tcf(c_122088,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120853,c_2537]) ).
tcf(c_122089,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122088,c_49,c_2518]) ).
tcf(c_122096,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_121049,c_30333]) ).
tcf(c_122097,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122096,c_103,c_30205]) ).
tcf(c_122103,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_121047,c_28059]) ).
tcf(c_122104,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122103,c_103,c_27911]) ).
tcf(c_122110,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121035,c_28256]) ).
tcf(c_122111,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122110,c_62,c_28177]) ).
tcf(c_122118,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121013,c_3040]) ).
tcf(c_122126,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121012,c_3041]) ).
tcf(c_122134,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121011,c_3044]) ).
tcf(c_122142,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121010,c_3045]) ).
tcf(c_122150,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121009,c_3046]) ).
tcf(c_122158,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_121006,c_22436]) ).
tcf(c_122159,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122158,c_103,c_22296]) ).
tcf(c_122165,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_121003,c_21616]) ).
tcf(c_122166,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122165,c_103,c_21527]) ).
tcf(c_122172,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_120999,c_21027]) ).
tcf(c_122173,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122172,c_103,c_20938]) ).
tcf(c_122179,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120989,c_16965]) ).
tcf(c_122180,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122179,c_62,c_16905]) ).
tcf(c_122187,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120865,c_103]) ).
tcf(c_122195,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120915,c_62]) ).
tcf(c_122259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120879,c_62]) ).
tcf(c_122269,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_121139,c_108853]) ).
tcf(c_122270,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122269,c_17110,c_108727]) ).
tcf(c_122276,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_121138,c_107993]) ).
tcf(c_122277,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122276,c_16905,c_107884]) ).
tcf(c_122283,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121134,c_104482]) ).
tcf(c_122291,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_121130,c_103932]) ).
tcf(c_122292,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122291,c_14856,c_103771]) ).
tcf(c_122298,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_121129,c_103285]) ).
tcf(c_122299,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122298,c_14661,c_103135]) ).
tcf(c_122305,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_121125,c_101701]) ).
tcf(c_122306,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122305,c_2518,c_101594]) ).
tcf(c_122312,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121118,c_81668]) ).
tcf(c_122320,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121116,c_81151]) ).
tcf(c_122328,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121101,c_71595]) ).
tcf(c_122336,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121100,c_68944]) ).
tcf(c_122344,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121080,c_62562]) ).
tcf(c_122352,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121062,c_42683]) ).
tcf(c_122360,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_121045,c_30333]) ).
tcf(c_122361,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122360,c_17110,c_30205]) ).
tcf(c_122367,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_121034,c_28059]) ).
tcf(c_122368,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122367,c_16905,c_27911]) ).
tcf(c_122374,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(light_normalisation,[status(thm)],[c_121005,c_22436]) ).
tcf(c_122375,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122374,c_14856,c_22296]) ).
tcf(c_122381,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(light_normalisation,[status(thm)],[c_121002,c_21616]) ).
tcf(c_122382,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122381,c_14661,c_21527]) ).
tcf(c_122388,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_120998,c_21027]) ).
tcf(c_122389,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122388,c_2518,c_20938]) ).
tcf(c_122395,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120921,c_103]) ).
tcf(c_122406,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120947,c_51]) ).
tcf(c_122415,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120913,c_62]) ).
tcf(c_122451,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120862,c_103]) ).
tcf(c_122460,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120861,c_103]) ).
tcf(c_122470,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121060,c_2475]) ).
tcf(c_122471,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = xn )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122470,c_59,c_42683]) ).
tcf(c_122480,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120880,c_62]) ).
tcf(c_122502,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121040,c_2471]) ).
tcf(c_122503,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122502,c_50]) ).
tcf(c_122514,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120910,c_2475]) ).
tcf(c_122515,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122514,c_59]) ).
tcf(c_122526,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120900,c_2475]) ).
tcf(c_122527,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122526,c_59]) ).
tcf(c_122548,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121041,c_2471]) ).
tcf(c_122549,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122548,c_50]) ).
tcf(c_122560,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120968,c_2471]) ).
tcf(c_122561,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122560,c_50]) ).
tcf(c_122571,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120967,c_2475]) ).
tcf(c_122572,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122571,c_59]) ).
tcf(c_122582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120951,c_103]) ).
tcf(c_122593,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120920,c_103]) ).
tcf(c_122605,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120901,c_2475]) ).
tcf(c_122606,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122605,c_59]) ).
tcf(c_122617,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120914,c_62]) ).
tcf(c_122628,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120902,c_2475]) ).
tcf(c_122629,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122628,c_59]) ).
tcf(c_122640,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120899,c_2475]) ).
tcf(c_122641,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122640,c_59]) ).
tcf(c_122652,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121081,c_2471]) ).
tcf(c_122653,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122652,c_50]) ).
tcf(c_122674,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120919,c_2475]) ).
tcf(c_122675,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122674,c_59]) ).
tcf(c_122708,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120889,c_59]) ).
tcf(c_122719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120953,c_103]) ).
tcf(c_122731,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120898,c_2475]) ).
tcf(c_122732,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122731,c_59]) ).
tcf(c_122743,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120897,c_2475]) ).
tcf(c_122744,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122743,c_59]) ).
tcf(c_122755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120896,c_2475]) ).
tcf(c_122756,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122755,c_59]) ).
tcf(c_122768,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120965,c_2475]) ).
tcf(c_122769,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122768,c_59]) ).
tcf(c_122789,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120895,c_2475]) ).
tcf(c_122790,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122789,c_59]) ).
tcf(c_122836,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121001,c_62]) ).
tcf(c_122847,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120966,c_2475]) ).
tcf(c_122848,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122847,c_59]) ).
tcf(c_122859,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,X1)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120950,c_103]) ).
tcf(c_122911,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120918,c_59]) ).
tcf(c_122922,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120888,c_59]) ).
tcf(c_122953,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120963,c_62]) ).
tcf(c_122963,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120954,c_103]) ).
tcf(c_122973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120893,c_2475]) ).
tcf(c_122974,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122973,c_59]) ).
tcf(c_122997,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_120972,c_2475]) ).
tcf(c_122998,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_122997,c_59]) ).
tcf(c_123007,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120964,c_59]) ).
tcf(c_123075,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,sdtpldt0(xl,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xl,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121046,c_103]) ).
tcf(c_123094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(X0,X1)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120952,c_103]) ).
tcf(c_123107,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(xq,xm),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xm),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121122,c_103]) ).
tcf(c_123189,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120892,c_2475]) ).
tcf(c_123190,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123189,c_59]) ).
tcf(c_123222,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120955,c_103]) ).
tcf(c_123264,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120911,c_59]) ).
tcf(c_123274,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(xq,xm),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xm),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121135,c_103]) ).
tcf(c_123298,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(light_normalisation,[status(thm)],[c_121015,c_2475]) ).
tcf(c_123299,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123298,c_59]) ).
tcf(c_123321,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_121039,c_2471]) ).
tcf(c_123322,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123321,c_50]) ).
tcf(c_123358,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120894,c_2475]) ).
tcf(c_123359,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123358,c_59]) ).
tcf(c_123372,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121104,c_103]) ).
tcf(c_123382,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120912,c_59]) ).
tcf(c_123463,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120987,c_59]) ).
tcf(c_123473,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_120970,c_2475]) ).
tcf(c_123474,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123473,c_59]) ).
tcf(c_123486,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_120969,c_2475]) ).
tcf(c_123487,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123486,c_59]) ).
tcf(c_123498,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_120891,c_2475]) ).
tcf(c_123499,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123498,c_59]) ).
tcf(c_123512,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121127,c_103]) ).
tcf(c_123523,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(light_normalisation,[status(thm)],[c_120971,c_2475]) ).
tcf(c_123524,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123523,c_59]) ).
tcf(c_123567,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121103,c_103]) ).
tcf(c_123578,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(light_normalisation,[status(thm)],[c_121014,c_2475]) ).
tcf(c_123579,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123578,c_59]) ).
tcf(c_123637,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121126,c_103]) ).
tcf(c_123649,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121048,c_62]) ).
tcf(c_123660,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120988,c_59]) ).
tcf(c_123684,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121105,c_103]) ).
tcf(c_123721,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_121128,c_103]) ).
tcf(c_123734,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120997,c_62]) ).
tcf(c_124357,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != xm ) ),
inference(superposition,[status(thm)],[c_36316,c_37644]) ).
tcf(c_124360,plain,
sdtpldt0(xl,xm) != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_124357,c_58,c_49]) ).
tcf(c_124395,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_120908,c_8631,c_120908]) ).
tcf(c_124411,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_109]) ).
tcf(c_124413,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_12741]) ).
tcf(c_124414,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_11962]) ).
tcf(c_124415,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_124395,c_8700]) ).
tcf(c_124416,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_3979]) ).
tcf(c_124417,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_124395,c_110]) ).
tcf(c_124418,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_73]) ).
tcf(c_124420,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_12745]) ).
tcf(c_124421,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_12182]) ).
tcf(c_124422,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_124395,c_8702]) ).
tcf(c_124423,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_5910]) ).
tcf(c_124426,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_24194]) ).
tcf(c_124427,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_115229]) ).
tcf(c_124428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_41840]) ).
tcf(c_124430,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_116782]) ).
tcf(c_124431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_43919]) ).
tcf(c_124432,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_109]) ).
tcf(c_124433,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_25649]) ).
tcf(c_124434,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_12741]) ).
tcf(c_124435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_11962]) ).
tcf(c_124436,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_124395,c_8700]) ).
tcf(c_124437,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_3979]) ).
tcf(c_124438,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_124395,c_110]) ).
tcf(c_124439,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_73]) ).
tcf(c_124440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_12745]) ).
tcf(c_124441,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_12182]) ).
tcf(c_124442,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_124395,c_8702]) ).
tcf(c_124443,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_5910]) ).
tcf(c_124444,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_124395,c_47638]) ).
tcf(c_124876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_70]) ).
tcf(c_124877,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_75560]) ).
tcf(c_124878,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_75392]) ).
tcf(c_124879,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28049,c_24035]) ).
tcf(c_124880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28049,c_17825]) ).
tcf(c_124881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28049,c_17392]) ).
tcf(c_124882,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28049,c_14477]) ).
tcf(c_124883,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_5155]) ).
tcf(c_124886,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_28049,c_75]) ).
tcf(c_124888,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_145]) ).
tcf(c_124890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_28049,c_70]) ).
tcf(c_124891,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) ) ),
inference(superposition,[status(thm)],[c_28049,c_76]) ).
tcf(c_124892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_68]) ).
tcf(c_124893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_68]) ).
tcf(c_124894,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28049,c_98]) ).
tcf(c_124895,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_28049,c_77]) ).
tcf(c_124896,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))),
inference(forward_subsumption_resolution,[status(thm)],[c_124888,c_49,c_27911]) ).
tcf(c_124897,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_124886,c_58,c_49,c_27911]) ).
tcf(c_124898,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124883,c_49,c_27911]) ).
tcf(c_124901,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124895,c_49,c_27911]) ).
tcf(c_124905,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124894,c_49,c_27911]) ).
tcf(c_124910,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124891,c_49,c_27911]) ).
tcf(c_124914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124893,c_49,c_27911]) ).
tcf(c_124919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124892,c_49,c_27911]) ).
tcf(c_124924,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124878,c_49,c_27911]) ).
tcf(c_124929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(X0,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124890,c_49,c_27911]) ).
tcf(c_124935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124876,c_49,c_27911]) ).
tcf(c_124940,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124879,c_49,c_27911]) ).
tcf(c_124946,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124877,c_49,c_27911]) ).
tcf(c_124952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124881,c_49,c_27911]) ).
tcf(c_124960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_124880,c_49,c_27911]) ).
tcf(c_125104,plain,
sdtpldt0(xn,xp) != sz00,
inference(global_subsumption_just,[status(thm)],[c_41579,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_41579]) ).
tcf(c_125110,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_42490,c_109]) ).
tcf(c_125111,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42490,c_25649]) ).
tcf(c_125116,plain,
( ( sdtpldt0(xn,xp) = xq )
| ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xq) ),
inference(superposition,[status(thm)],[c_42490,c_110]) ).
tcf(c_125117,plain,
( ( sdtpldt0(xn,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_42490,c_73]) ).
tcf(c_125118,plain,
( ( sdtpldt0(xn,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125117,c_62,c_41576]) ).
tcf(c_125121,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125116,c_41577,c_62,c_41576]) ).
tcf(c_125124,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125110,c_62,c_41576]) ).
tcf(c_125129,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_125111,c_41659]) ).
tcf(c_125130,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125129,c_62,c_41576]) ).
tcf(c_125209,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(X0,X2),sK2(sz00,sK2(xq,xp)))
| ( X1 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_68,c_124411]) ).
tcf(c_125210,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(X2,X1),sK2(sz00,sK2(xq,xp)))
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70,c_124411]) ).
tcf(c_125211,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_145,c_124411]) ).
tcf(c_125212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85,c_124411]) ).
tcf(c_125213,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(X0,X2),sK2(sz00,sK2(xq,xp)))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_87,c_124411]) ).
tcf(c_125214,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(X2,X1),sK2(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_89,c_124411]) ).
tcf(c_125216,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_124411]) ).
tcf(c_125217,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124411]) ).
tcf(c_125218,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_124411]) ).
tcf(c_125219,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_124411]) ).
tcf(c_125220,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2614,c_124411]) ).
tcf(c_125225,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2625,c_124411]) ).
tcf(c_125226,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2622,c_124411]) ).
tcf(c_125229,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2619,c_124411]) ).
tcf(c_125231,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2615,c_124411]) ).
tcf(c_125233,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65304,c_124411]) ).
tcf(c_125234,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_124411]) ).
tcf(c_125241,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65245,c_124411]) ).
tcf(c_125242,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3961,c_124411]) ).
tcf(c_125243,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3944,c_124411]) ).
tcf(c_125244,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_124411]) ).
tcf(c_125245,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_124411]) ).
tcf(c_125246,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15621,c_124411]) ).
tcf(c_125247,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13918,c_124411]) ).
tcf(c_125248,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_124411]) ).
tcf(c_125249,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13690,c_124411]) ).
tcf(c_125250,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_124411]) ).
tcf(c_125251,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_124411]) ).
tcf(c_125252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4216,c_124411]) ).
tcf(c_125259,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_124411]) ).
tcf(c_125260,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14112,c_124411]) ).
tcf(c_125261,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_124411]) ).
tcf(c_125262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_5155,c_124411]) ).
tcf(c_125263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_5229,c_124411]) ).
tcf(c_125269,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4130,c_124411]) ).
tcf(c_125271,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6430,c_124411]) ).
tcf(c_125272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6431,c_124411]) ).
tcf(c_125273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6346,c_124411]) ).
tcf(c_125286,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102212,c_124411]) ).
tcf(c_125287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_124411]) ).
tcf(c_125288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124411]) ).
tcf(c_125289,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11891,c_124411]) ).
tcf(c_125290,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12725,c_124411]) ).
tcf(c_125291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6696,c_124411]) ).
tcf(c_125292,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6431,c_124411]) ).
tcf(c_125294,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_90734,c_124411]) ).
tcf(c_125295,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_106022,c_124411]) ).
tcf(c_125296,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15739,c_124411]) ).
tcf(c_125297,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6430,c_124411]) ).
tcf(c_125298,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10464,c_124411]) ).
tcf(c_125299,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10380,c_124411]) ).
tcf(c_125301,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_7120,c_124411]) ).
tcf(c_125303,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_124411]) ).
tcf(c_125304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124411]) ).
tcf(c_125305,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_21787,c_124411]) ).
tcf(c_125306,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26006,c_124411]) ).
tcf(c_125307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_97431,c_124411]) ).
tcf(c_125308,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15930,c_124411]) ).
tcf(c_125309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_124411]) ).
tcf(c_125310,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15931,c_124411]) ).
tcf(c_125311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_124411]) ).
tcf(c_125312,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_65275,c_124411]) ).
tcf(c_125313,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_98741,c_124411]) ).
tcf(c_125314,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70964,c_124411]) ).
tcf(c_125315,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43963,c_124411]) ).
tcf(c_125316,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43470,c_124411]) ).
tcf(c_125317,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_43085,c_124411]) ).
tcf(c_125319,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_26052,c_124411]) ).
tcf(c_125320,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15792,c_124411]) ).
tcf(c_125321,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24215,c_124411]) ).
tcf(c_125322,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_124411]) ).
tcf(c_125323,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_124411]) ).
tcf(c_125326,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_26025,c_124411]) ).
tcf(c_125327,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_15931,c_124411]) ).
tcf(c_125328,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_19438,c_124411]) ).
tcf(c_125329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_99238,c_124411]) ).
tcf(c_125330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_98484,c_124411]) ).
tcf(c_125331,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15721,c_124411]) ).
tcf(c_125332,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_10395,c_124411]) ).
tcf(c_125333,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111576,c_124411]) ).
tcf(c_125334,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75560,c_124411]) ).
tcf(c_125335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_124411]) ).
tcf(c_125336,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102402,c_124411]) ).
tcf(c_125337,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102212,c_124411]) ).
tcf(c_125338,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_106145,c_124411]) ).
tcf(c_125339,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(superposition,[status(thm)],[c_113393,c_124411]) ).
tcf(c_125347,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_34388,c_124411]) ).
tcf(c_125348,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_44733,c_124411]) ).
tcf(c_125357,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_34468,c_124411]) ).
tcf(c_125358,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)),sz00) ),
inference(superposition,[status(thm)],[c_40181,c_124411]) ).
tcf(c_125359,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_124395,c_124411]) ).
tcf(c_125363,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70964,c_124411]) ).
tcf(c_125364,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_70935,c_124411]) ).
tcf(c_125365,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_51524,c_124411]) ).
tcf(c_125366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_49956,c_124411]) ).
tcf(c_125367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_43470,c_124411]) ).
tcf(c_125369,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_31828,c_124411]) ).
tcf(c_125370,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_31012,c_124411]) ).
tcf(c_125372,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_32019,c_124411]) ).
tcf(c_125373,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_20099,c_124411]) ).
tcf(c_125382,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_20120,c_124411]) ).
tcf(c_125386,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_107113,c_124411]) ).
tcf(c_125394,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24171,c_124411]) ).
tcf(c_125395,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24172,c_124411]) ).
tcf(c_125396,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24173,c_124411]) ).
tcf(c_125397,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24176,c_124411]) ).
tcf(c_125398,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24177,c_124411]) ).
tcf(c_125401,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_115001,c_124411]) ).
tcf(c_125402,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_124411]) ).
tcf(c_125403,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_124411]) ).
tcf(c_125404,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_124411]) ).
tcf(c_125405,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_124411]) ).
tcf(c_125406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_124411]) ).
tcf(c_125407,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_46773,c_124411]) ).
tcf(c_125408,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_124411]) ).
tcf(c_125409,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_124411]) ).
tcf(c_125410,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_124411]) ).
tcf(c_125411,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_124411]) ).
tcf(c_125412,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_124411]) ).
tcf(c_125413,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_124411]) ).
tcf(c_125414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24885,c_124411]) ).
tcf(c_125415,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xl),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25634,c_124411]) ).
tcf(c_125416,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25635,c_124411]) ).
tcf(c_125417,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25636,c_124411]) ).
tcf(c_125418,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_25640,c_124411]) ).
tcf(c_125431,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_31387,c_124411]) ).
tcf(c_125433,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_32039,c_124411]) ).
tcf(c_125439,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_40027,c_124411]) ).
tcf(c_125440,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_50559,c_124411]) ).
tcf(c_125445,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42684,c_124411]) ).
tcf(c_125447,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_48634,c_124411]) ).
tcf(c_125448,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49314,c_124411]) ).
tcf(c_125449,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_106486,c_124411]) ).
tcf(c_125451,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_49289,c_124411]) ).
tcf(c_125461,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62565,c_124411]) ).
tcf(c_125462,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62564,c_124411]) ).
tcf(c_125463,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67625,c_124411]) ).
tcf(c_125466,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67963,c_124411]) ).
tcf(c_125472,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107761,c_124411]) ).
tcf(c_125473,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73050,c_124411]) ).
tcf(c_125474,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_73035,c_124411]) ).
tcf(c_125476,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_67935,c_124411]) ).
tcf(c_125477,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_68947,c_124411]) ).
tcf(c_125478,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_68946,c_124411]) ).
tcf(c_125479,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_74732,c_124411]) ).
tcf(c_125483,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71597,c_124411]) ).
tcf(c_125484,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79329,c_124411]) ).
tcf(c_125486,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75093,c_124411]) ).
tcf(c_125487,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79994,c_124411]) ).
tcf(c_125488,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75065,c_124411]) ).
tcf(c_125489,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_77128,c_124411]) ).
tcf(c_125490,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_76965,c_124411]) ).
tcf(c_125491,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_77305,c_124411]) ).
tcf(c_125495,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_79969,c_124411]) ).
tcf(c_125497,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81153,c_124411]) ).
tcf(c_125498,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85231,c_124411]) ).
tcf(c_125499,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81670,c_124411]) ).
tcf(c_125500,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85628,c_124411]) ).
tcf(c_125502,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85551,c_124411]) ).
tcf(c_125504,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_86548,c_124411]) ).
tcf(c_125506,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_85523,c_124411]) ).
tcf(c_125507,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_86520,c_124411]) ).
tcf(c_125508,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xm),X0),sz00) ),
inference(superposition,[status(thm)],[c_105194,c_124411]) ).
tcf(c_125511,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_101595,c_124411]) ).
tcf(c_125512,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_103031,c_124411]) ).
tcf(c_125513,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_102548,c_124411]) ).
tcf(c_125514,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_103616,c_124411]) ).
tcf(c_125515,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_103136,c_124411]) ).
tcf(c_125516,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_103772,c_124411]) ).
tcf(c_125517,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_111107,c_124411]) ).
tcf(c_125518,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110565,c_124411]) ).
tcf(c_125519,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_105594,c_124411]) ).
tcf(c_125520,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_106964,c_124411]) ).
tcf(c_125521,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xm),X0),sz00) ),
inference(superposition,[status(thm)],[c_113260,c_124411]) ).
tcf(c_125522,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_106939,c_124411]) ).
tcf(c_125523,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00) ),
inference(superposition,[status(thm)],[c_108345,c_124411]) ).
tcf(c_125524,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_107885,c_124411]) ).
tcf(c_125525,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_108728,c_124411]) ).
tcf(c_125528,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110552,c_124411]) ).
tcf(c_125529,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110554,c_124411]) ).
tcf(c_125530,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110685,c_124411]) ).
tcf(c_125531,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110666,c_124411]) ).
tcf(c_125532,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110668,c_124411]) ).
tcf(c_125538,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125226,c_62]) ).
tcf(c_125545,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125225,c_51]) ).
tcf(c_125553,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125231,c_62,c_103]) ).
tcf(c_125560,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125229,c_103,c_51]) ).
tcf(c_125567,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125531,c_110686]) ).
tcf(c_125574,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125528,c_110577]) ).
tcf(c_125581,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125522,c_104482]) ).
tcf(c_125588,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125507,c_81668]) ).
tcf(c_125595,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125506,c_81151]) ).
tcf(c_125602,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125495,c_71595]) ).
tcf(c_125609,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125488,c_68944]) ).
tcf(c_125616,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125476,c_62562]) ).
tcf(c_125623,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125451,c_42683]) ).
tcf(c_125630,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125269,c_62,c_51]) ).
tcf(c_125638,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125260,c_49]) ).
tcf(c_125647,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125259,c_51]) ).
tcf(c_125656,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125252,c_103]) ).
tcf(c_125665,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125251,c_103]) ).
tcf(c_125674,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125250,c_103]) ).
tcf(c_125683,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125249,c_103]) ).
tcf(c_125692,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xl)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125247,c_103]) ).
tcf(c_125702,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125241,c_62]) ).
tcf(c_125711,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125234,c_62]) ).
tcf(c_125720,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125233,c_59]) ).
tcf(c_125738,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125532,c_103,c_110686]) ).
tcf(c_125745,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125530,c_62,c_110686]) ).
tcf(c_125752,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125529,c_103,c_110577]) ).
tcf(c_125759,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125519,c_62,c_104482]) ).
tcf(c_125766,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125500,c_103,c_81668]) ).
tcf(c_125773,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125498,c_103,c_81151]) ).
tcf(c_125780,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125484,c_103,c_71595]) ).
tcf(c_125787,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125483,c_62,c_71595]) ).
tcf(c_125794,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125479,c_103,c_68944]) ).
tcf(c_125801,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125478,c_51,c_68944]) ).
tcf(c_125808,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125463,c_103,c_62562]) ).
tcf(c_125815,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125462,c_51,c_62562]) ).
tcf(c_125822,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125449,c_103,c_104482]) ).
tcf(c_125829,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125447,c_103,c_42683]) ).
tcf(c_125836,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125445,c_62,c_42683]) ).
tcf(c_125843,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125246,c_103]) ).
tcf(c_125862,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125477,c_62,c_68944]) ).
tcf(c_125870,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125461,c_62,c_62562]) ).
tcf(c_125896,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125518,c_62,c_110577]) ).
tcf(c_125904,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125517,c_59,c_104482]) ).
tcf(c_125912,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125499,c_62,c_81668]) ).
tcf(c_125920,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125497,c_59,c_81151]) ).
tcf(c_125928,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125332,c_51]) ).
tcf(c_125937,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125299,c_62]) ).
tcf(c_125955,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125242,c_62]) ).
tcf(c_125964,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125261,c_62]) ).
tcf(c_125975,plain,
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125298,c_62]) ).
tcf(c_125995,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125525,c_17110,c_108727]) ).
tcf(c_126002,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125524,c_16905,c_107884]) ).
tcf(c_126009,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125516,c_14856,c_103771]) ).
tcf(c_126016,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125515,c_14661,c_103135]) ).
tcf(c_126023,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125511,c_2518,c_101594]) ).
tcf(c_126049,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125248,c_103]) ).
tcf(c_126069,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125262,c_62]) ).
tcf(c_126091,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125520,c_104482]) ).
tcf(c_126100,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125504,c_81668]) ).
tcf(c_126109,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125502,c_81151]) ).
tcf(c_126118,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125487,c_71595]) ).
tcf(c_126127,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125486,c_68944]) ).
tcf(c_126136,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125466,c_62562]) ).
tcf(c_126145,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125448,c_42683]) ).
tcf(c_126154,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125490,c_103]) ).
tcf(c_126163,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xn,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(xn,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125331,c_51]) ).
tcf(c_126173,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125328,c_103]) ).
tcf(c_126182,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK3(xq,sz00) = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK3(xq,sz00))
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125296,c_62]) ).
tcf(c_126239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125304,c_103]) ).
tcf(c_126262,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125473,c_103]) ).
tcf(c_126272,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125263,c_62]) ).
tcf(c_126284,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125245,c_103]) ).
tcf(c_126294,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,X0),sK2(sdtpldt0(xq,X0),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125244,c_103]) ).
tcf(c_126304,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125513,c_103]) ).
tcf(c_126427,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125335,c_103]) ).
tcf(c_126458,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtpldt0(xq,X0))
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125297,c_62]) ).
tcf(c_126481,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,X1),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125303,c_103]) ).
tcf(c_126494,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125348,c_59]) ).
tcf(c_126525,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125272,c_59]) ).
tcf(c_126537,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125386,c_62]) ).
tcf(c_126549,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125347,c_62]) ).
tcf(c_126560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125337,c_103]) ).
tcf(c_126573,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125301,c_59]) ).
tcf(c_126678,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125338,c_103]) ).
tcf(c_126689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125334,c_103]) ).
tcf(c_126746,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,X0))
| ~ sdtlseqdt0(sdtpldt0(xq,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125271,c_59]) ).
tcf(c_126770,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125372,c_59]) ).
tcf(c_126780,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xl,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xl,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125431,c_103]) ).
tcf(c_126791,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xm),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125508,c_103]) ).
tcf(c_126867,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125489,c_103]) ).
tcf(c_126888,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xp),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125339,c_103]) ).
tcf(c_126900,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125336,c_103]) ).
tcf(c_126914,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),X0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125294,c_59]) ).
tcf(c_127029,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xm),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(xq,xm),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125521,c_103]) ).
tcf(c_127054,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125512,c_103]) ).
tcf(c_127078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125330,c_103]) ).
tcf(c_127091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125329,c_103]) ).
tcf(c_127104,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtasdt0(sK2(xq,xp),X0)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125295,c_59]) ).
tcf(c_127129,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125433,c_62]) ).
tcf(c_127140,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125373,c_59]) ).
tcf(c_127242,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125491,c_103]) ).
tcf(c_127303,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(sz00,sK2(xq,xp)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125514,c_103]) ).
tcf(c_127316,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125382,c_62]) ).
tcf(c_127606,plain,
( ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_35887,c_36064]) ).
tcf(c_127681,plain,
sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_127606,c_62,c_59]) ).
tcf(c_128569,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_145,c_124417]) ).
tcf(c_128570,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK2(sz00,sK2(xq,xp)),X0),sz00) ),
inference(superposition,[status(thm)],[c_85,c_124417]) ).
tcf(c_128572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_124417]) ).
tcf(c_128573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124417]) ).
tcf(c_128574,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_124417]) ).
tcf(c_128575,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_124417]) ).
tcf(c_128576,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12915,c_124417]) ).
tcf(c_128586,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_13570,c_124417]) ).
tcf(c_128587,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102212,c_124417]) ).
tcf(c_128588,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_124417]) ).
tcf(c_128609,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_75787,c_124417]) ).
tcf(c_128610,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_73789,c_124417]) ).
tcf(c_128611,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_58881,c_124417]) ).
tcf(c_128612,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_52884,c_124417]) ).
tcf(c_128613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_46832,c_124417]) ).
tcf(c_128615,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_42039,c_124417]) ).
tcf(c_128616,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_24919,c_124417]) ).
tcf(c_128617,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24918,c_124417]) ).
tcf(c_128618,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24914,c_124417]) ).
tcf(c_128619,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24913,c_124417]) ).
tcf(c_128620,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_24912,c_124417]) ).
tcf(c_128622,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_40027,c_124417]) ).
tcf(c_128623,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ sdtlseqdt0(sK2(xq,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_107761,c_124417]) ).
tcf(c_128624,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128586,c_51]) ).
tcf(c_128632,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128576,c_62]) ).
tcf(c_128903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_70]) ).
tcf(c_128917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_70]) ).
tcf(c_128918,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28059,c_76]) ).
tcf(c_128919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_28059,c_68]) ).
tcf(c_128920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_68]) ).
tcf(c_128922,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_28059,c_77]) ).
tcf(c_128925,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_65275]) ).
tcf(c_128927,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_97431]) ).
tcf(c_128941,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),sz00) ),
inference(superposition,[status(thm)],[c_28059,c_26052]) ).
tcf(c_128942,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_15930]) ).
tcf(c_128943,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_15792]) ).
tcf(c_128944,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_24215]) ).
tcf(c_128945,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_24215]) ).
tcf(c_128946,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_15931]) ).
tcf(c_128948,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_15793]) ).
tcf(c_128949,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_28059,c_8652]) ).
tcf(c_128951,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128922,c_103,c_27911]) ).
tcf(c_128955,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128918,c_103,c_27911]) ).
tcf(c_128959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128917,c_103,c_27911]) ).
tcf(c_128965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128920,c_103,c_27911]) ).
tcf(c_128970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128919,c_103,c_27911]) ).
tcf(c_128976,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128948,c_27911]) ).
tcf(c_128982,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128946,c_27911]) ).
tcf(c_128988,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(light_normalisation,[status(thm)],[c_128945,c_28059]) ).
tcf(c_128989,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128988,c_27911]) ).
tcf(c_128997,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128943,c_27911]) ).
tcf(c_129004,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128942,c_27911]) ).
tcf(c_129011,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128925,c_27911]) ).
tcf(c_129018,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_128941,c_28059]) ).
tcf(c_129019,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128927,c_27911]) ).
tcf(c_129067,plain,
sdtpldt0(xp,sK0) != sz00,
inference(global_subsumption_just,[status(thm)],[c_49752,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_49755]) ).
tcf(c_129069,plain,
sdtpldt0(xp,xp) != sz00,
inference(light_normalisation,[status(thm)],[c_129067,c_110514]) ).
tcf(c_129082,plain,
sdtpldt0(xp,sK1) != sz00,
inference(global_subsumption_just,[status(thm)],[c_55943,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_55946]) ).
tcf(c_129084,plain,
sdtpldt0(xp,xq) != sz00,
inference(light_normalisation,[status(thm)],[c_129082,c_110513]) ).
tcf(c_129103,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_124418]) ).
tcf(c_129104,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124418]) ).
tcf(c_129106,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_124418]) ).
tcf(c_129107,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2614,c_124418]) ).
tcf(c_129112,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_124418]) ).
tcf(c_129113,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_124418]) ).
tcf(c_129116,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_124418]) ).
tcf(c_129122,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(xq,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_124418]) ).
tcf(c_129123,plain,
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6346,c_124418]) ).
tcf(c_129124,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_124418]) ).
tcf(c_129125,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124418]) ).
tcf(c_129126,plain,
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_124418]) ).
tcf(c_129130,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(xq,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129122,c_62,c_103]) ).
tcf(c_129139,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129116,c_103]) ).
tcf(c_129148,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_129123,c_2464]) ).
tcf(c_129150,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129104,c_103]) ).
tcf(c_129160,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_129103,c_2464]) ).
tcf(c_129161,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129124,c_103]) ).
tcf(c_129172,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_129126,c_2465]) ).
tcf(c_129173,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129172,c_103]) ).
tcf(c_129209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_124426]) ).
tcf(c_129210,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124426]) ).
tcf(c_129212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_124426]) ).
tcf(c_129213,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2614,c_124426]) ).
tcf(c_129218,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112509,c_124426]) ).
tcf(c_129219,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sdtpldt0(xq,sz00),sK2(sdtpldt0(xq,sz00),xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_27721,c_124426]) ).
tcf(c_129222,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11447,c_124426]) ).
tcf(c_129228,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_4095,c_124426]) ).
tcf(c_129229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_6346,c_124426]) ).
tcf(c_129230,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_124426]) ).
tcf(c_129231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_124426]) ).
tcf(c_129232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,sz00),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15793,c_124426]) ).
tcf(c_129236,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_129229,c_2464]) ).
tcf(c_129237,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129228,c_62,c_103]) ).
tcf(c_129249,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129222,c_103]) ).
tcf(c_129261,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129231,c_103]) ).
tcf(c_129274,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129210,c_103]) ).
tcf(c_129287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_129209,c_2464]) ).
tcf(c_129288,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_129232,c_2465]) ).
tcf(c_129289,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129288,c_103]) ).
tcf(c_129300,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129230,c_103]) ).
tcf(c_129319,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_124437,c_8631,c_124437]) ).
tcf(c_129320,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_129319]) ).
tcf(c_129339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X1,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_109]) ).
tcf(c_129340,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129320,c_124411]) ).
tcf(c_129341,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_25649]) ).
tcf(c_129342,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_12741]) ).
tcf(c_129343,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_11962]) ).
tcf(c_129344,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129320,c_8700]) ).
tcf(c_129346,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),xq) ),
inference(superposition,[status(thm)],[c_129320,c_110]) ).
tcf(c_129347,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_73]) ).
tcf(c_129348,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_45030]) ).
tcf(c_129349,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_109]) ).
tcf(c_129352,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_12741]) ).
tcf(c_129353,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_11962]) ).
tcf(c_129354,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129320,c_8700]) ).
tcf(c_129355,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_3979]) ).
tcf(c_129356,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_129320,c_110]) ).
tcf(c_129357,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_73]) ).
tcf(c_129359,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_12745]) ).
tcf(c_129360,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_12182]) ).
tcf(c_129361,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129320,c_8702]) ).
tcf(c_129362,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_5910]) ).
tcf(c_129366,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_24194]) ).
tcf(c_129367,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_115229]) ).
tcf(c_129368,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_41840]) ).
tcf(c_129369,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_8672]) ).
tcf(c_129370,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_116782]) ).
tcf(c_129371,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129320,c_43919]) ).
tcf(c_129460,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X1,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129339,c_62]) ).
tcf(c_129483,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129347,c_62]) ).
tcf(c_129493,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129346,c_62]) ).
tcf(c_129513,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129343,c_62]) ).
tcf(c_129537,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129344,c_62]) ).
tcf(c_129610,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129342,c_62]) ).
tcf(c_129622,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129341,c_62]) ).
tcf(c_129801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28060,c_70]) ).
tcf(c_129808,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28060,c_5155]) ).
tcf(c_129813,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28060,c_145]) ).
tcf(c_129815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(superposition,[status(thm)],[c_28060,c_70]) ).
tcf(c_129816,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(superposition,[status(thm)],[c_28060,c_76]) ).
tcf(c_129817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28060,c_68]) ).
tcf(c_129818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28060,c_68]) ).
tcf(c_129820,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_28060,c_77]) ).
tcf(c_129821,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(xl,sdtpldt0(xl,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_129813,c_103,c_27911]) ).
tcf(c_129822,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129808,c_103,c_27911]) ).
tcf(c_129825,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129820,c_103,c_27911]) ).
tcf(c_129829,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) != sdtpldt0(xl,sdtpldt0(xl,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129816,c_103,c_27911]) ).
tcf(c_129834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129817,c_103,c_27911]) ).
tcf(c_129839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129815,c_103,c_27911]) ).
tcf(c_129844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xl,sdtpldt0(xl,xp)))
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129801,c_103,c_27911]) ).
tcf(c_129849,plain,
( ( sz00 = xq )
| ( sdtpldt0(xq,xq) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_56257,c_110513]) ).
tcf(c_129859,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_56514,c_25649]) ).
tcf(c_129874,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(global_subsumption_just,[status(thm)],[c_124436,c_8631,c_124436]) ).
tcf(c_129875,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(renaming,[status(thm)],[c_129874]) ).
tcf(c_129895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_129875]) ).
tcf(c_129896,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_129875]) ).
tcf(c_129898,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_129875]) ).
tcf(c_129899,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129898,c_103]) ).
tcf(c_129910,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_129895,c_2464]) ).
tcf(c_129916,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_124427,c_6696,c_8631]) ).
tcf(c_129917,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_129916]) ).
tcf(c_129928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_129917]) ).
tcf(c_129932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_124432,c_8631,c_124432]) ).
tcf(c_129933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_129932]) ).
tcf(c_129955,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_109]) ).
tcf(c_129956,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129933,c_124411]) ).
tcf(c_129958,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_12741]) ).
tcf(c_129959,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_11962]) ).
tcf(c_129960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129933,c_8700]) ).
tcf(c_129961,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_3979]) ).
tcf(c_129962,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_129933,c_110]) ).
tcf(c_129963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X1,sK2(X1,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_73]) ).
tcf(c_129965,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_12745]) ).
tcf(c_129966,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_12182]) ).
tcf(c_129967,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129933,c_8702]) ).
tcf(c_129968,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_5910]) ).
tcf(c_129972,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X2),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X2 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_24194]) ).
tcf(c_129973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_115229]) ).
tcf(c_129974,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X2),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X2 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_41840]) ).
tcf(c_129975,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_8672]) ).
tcf(c_129976,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_116782]) ).
tcf(c_129977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_43919]) ).
tcf(c_129978,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X1,sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_109]) ).
tcf(c_129979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129933,c_124411]) ).
tcf(c_129980,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_25649]) ).
tcf(c_129984,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_3979]) ).
tcf(c_129985,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),X0) ),
inference(superposition,[status(thm)],[c_129933,c_110]) ).
tcf(c_129986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sdtpldt0(sz00,sK2(xq,xp)))) = sdtpldt0(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_73]) ).
tcf(c_129987,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_129933,c_3965]) ).
tcf(c_129990,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_129933,c_8702]) ).
tcf(c_129993,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_129933,c_124417]) ).
tcf(c_129994,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_129933,c_26045]) ).
tcf(c_129995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_129933,c_8679]) ).
tcf(c_130073,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_129987,c_59]) ).
tcf(c_130510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_70]) ).
tcf(c_130511,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_75560]) ).
tcf(c_130512,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_75392]) ).
tcf(c_130513,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28245,c_24035]) ).
tcf(c_130514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28245,c_17825]) ).
tcf(c_130515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28245,c_17392]) ).
tcf(c_130516,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28245,c_14477]) ).
tcf(c_130517,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_5155]) ).
tcf(c_130520,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_28245,c_75]) ).
tcf(c_130522,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_145]) ).
tcf(c_130523,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_84]) ).
tcf(c_130524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_28245,c_70]) ).
tcf(c_130525,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,sdtpldt0(xm,xp)) ) ),
inference(superposition,[status(thm)],[c_28245,c_76]) ).
tcf(c_130526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_68]) ).
tcf(c_130527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_68]) ).
tcf(c_130528,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28245,c_98]) ).
tcf(c_130529,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_28245,c_77]) ).
tcf(c_130530,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_130523,c_50,c_28177]) ).
tcf(c_130531,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_130522,c_50,c_28177]) ).
tcf(c_130532,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130517,c_50,c_28177]) ).
tcf(c_130535,plain,
sdtpldt0(xm,sdtpldt0(xm,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_130520,c_11841,c_50,c_28177]) ).
tcf(c_130536,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130529,c_50,c_28177]) ).
tcf(c_130540,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130528,c_50,c_28177]) ).
tcf(c_130545,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xm,sdtpldt0(xm,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130525,c_50,c_28177]) ).
tcf(c_130549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130527,c_50,c_28177]) ).
tcf(c_130554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130526,c_50,c_28177]) ).
tcf(c_130559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130524,c_50,c_28177]) ).
tcf(c_130564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130510,c_50,c_28177]) ).
tcf(c_130569,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130512,c_50,c_28177]) ).
tcf(c_130574,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130516,c_50,c_28177]) ).
tcf(c_130579,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130513,c_50,c_28177]) ).
tcf(c_130585,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130511,c_50,c_28177]) ).
tcf(c_130591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130515,c_50,c_28177]) ).
tcf(c_130599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130514,c_50,c_28177]) ).
tcf(c_130680,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_130530,c_112581]) ).
tcf(c_130681,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xp))),xl) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_130530,c_3370]) ).
tcf(c_130682,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK2(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_130530,c_3010]) ).
tcf(c_130683,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2785]) ).
tcf(c_130684,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2781]) ).
tcf(c_130685,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2780]) ).
tcf(c_130686,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_130530,c_27869]) ).
tcf(c_130687,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2777]) ).
tcf(c_130688,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK2(sdtpldt0(xm,sdtpldt0(xm,xp)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_130530,c_13871]) ).
tcf(c_130689,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2776]) ).
tcf(c_130690,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2775]) ).
tcf(c_130691,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2709]) ).
tcf(c_130692,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2705]) ).
tcf(c_130693,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2704]) ).
tcf(c_130694,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2701]) ).
tcf(c_130695,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2700]) ).
tcf(c_130696,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_130530,c_2699]) ).
tcf(c_130697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xp))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_130530,c_79]) ).
tcf(c_130698,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_130530,c_78]) ).
tcf(c_130699,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_130530,c_95]) ).
tcf(c_130700,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_130530,c_82]) ).
tcf(c_130701,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sdtpldt0(xm,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_130530,c_152]) ).
tcf(c_130702,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_130530,c_96]) ).
tcf(c_130703,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_130530,c_83]) ).
tcf(c_130704,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))) = sz00,
inference(superposition,[status(thm)],[c_130530,c_94]) ).
tcf(c_130705,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_130530,c_93]) ).
tcf(c_130706,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_130530,c_81]) ).
tcf(c_130707,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_130530,c_80]) ).
tcf(c_130859,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130531,c_109]) ).
tcf(c_130860,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_130531,c_124411]) ).
tcf(c_130861,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130531,c_25649]) ).
tcf(c_130862,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130531,c_12741]) ).
tcf(c_130864,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_130531,c_8700]) ).
tcf(c_130866,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_130531,c_110]) ).
tcf(c_130867,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130531,c_73]) ).
tcf(c_130868,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130859,c_28177,c_130530]) ).
tcf(c_130872,plain,
sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_130867,c_28177,c_130530]) ).
tcf(c_130873,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130866,c_28177,c_130530]) ).
tcf(c_130877,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sdtpldt0(xm,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130862,c_28177,c_130530]) ).
tcf(c_130882,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(light_normalisation,[status(thm)],[c_130861,c_130706]) ).
tcf(c_130883,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130882,c_28177,c_130530]) ).
tcf(c_130889,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130860,c_28177,c_130530]) ).
tcf(c_130922,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130704,c_89]) ).
tcf(c_130927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130704,c_18982]) ).
tcf(c_130929,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130704,c_15630]) ).
tcf(c_130939,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_130704,c_92]) ).
tcf(c_130940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130704,c_89]) ).
tcf(c_130941,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130939,c_130535,c_103,c_130530]) ).
tcf(c_130947,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130922,c_130535,c_103,c_130530]) ).
tcf(c_130952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_130927,c_130535,c_103,c_2614,c_130530]) ).
tcf(c_131034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130705,c_18291]) ).
tcf(c_131037,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_130705,c_91]) ).
tcf(c_131040,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130705,c_142]) ).
tcf(c_131042,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130705,c_87]) ).
tcf(c_131044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_130705,c_87]) ).
tcf(c_131047,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_131040,c_103,c_130530]) ).
tcf(c_131048,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131037,c_130535,c_103,c_130530]) ).
tcf(c_131053,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131042,c_130535,c_103,c_130530]) ).
tcf(c_131058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131034,c_130535,c_103,c_2614,c_130530]) ).
tcf(c_131065,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_131047,c_106]) ).
tcf(c_131066,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_131047,c_99]) ).
tcf(c_131067,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK3(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_131047,c_102]) ).
tcf(c_131068,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xp)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131066,c_103,c_130530]) ).
tcf(c_131072,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK3(sdtpldt0(xm,sdtpldt0(xm,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_131067,c_103,c_130530]) ).
tcf(c_131073,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_131065,c_130535,c_103,c_130530]) ).
tcf(c_131076,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_62446,c_25649]) ).
tcf(c_131091,plain,
sdtpldt0(sz00,sK2(xq,xp)) = sK2(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_124441,c_127681]) ).
tcf(c_131094,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_129875,c_131091]) ).
tcf(c_131095,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_129320,c_131091]) ).
tcf(c_131096,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_124426,c_131091]) ).
tcf(c_131097,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_124418,c_131091]) ).
tcf(c_131098,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),X0) ),
inference(demodulation,[status(thm)],[c_124417,c_131091]) ).
tcf(c_131099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_124411,c_131091]) ).
tcf(c_131100,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_124395,c_131091]) ).
tcf(c_131101,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_19438,c_131091]) ).
tcf(c_131102,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_115765,c_131091]) ).
tcf(c_131103,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_115577,c_131091]) ).
tcf(c_131105,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_103031,c_131091]) ).
tcf(c_131106,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_102548,c_131091]) ).
tcf(c_131107,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_92504,c_131091]) ).
tcf(c_131109,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_77128,c_131091]) ).
tcf(c_131110,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_76965,c_131091]) ).
tcf(c_131111,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_72481,c_131091]) ).
tcf(c_131112,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_72393,c_131091]) ).
tcf(c_131113,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_70964,c_131091]) ).
tcf(c_131114,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_71908,c_131091]) ).
tcf(c_131115,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_70935,c_131091]) ).
tcf(c_131117,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(demodulation,[status(thm)],[c_52778,c_131091]) ).
tcf(c_131121,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_52045,c_131091]) ).
tcf(c_131122,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_51524,c_131091]) ).
tcf(c_131123,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00) ),
inference(demodulation,[status(thm)],[c_51464,c_131091]) ).
tcf(c_131124,plain,
( sdtlseqdt0(xq,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) ),
inference(demodulation,[status(thm)],[c_32039,c_131091]) ).
tcf(c_131125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_50432,c_131091]) ).
tcf(c_131126,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_49956,c_131091]) ).
tcf(c_131128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_43884,c_131091]) ).
tcf(c_131129,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_43470,c_131091]) ).
tcf(c_131130,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_39354,c_131091]) ).
tcf(c_131131,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_39205,c_131091]) ).
tcf(c_131132,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_32019,c_131091]) ).
tcf(c_131133,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_31828,c_131091]) ).
tcf(c_131134,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_31325,c_131091]) ).
tcf(c_131135,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(demodulation,[status(thm)],[c_31012,c_131091]) ).
tcf(c_131136,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_26176,c_131091]) ).
tcf(c_131137,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_20232,c_131091]) ).
tcf(c_131141,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_19422,c_131091]) ).
tcf(c_131142,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_19395,c_131091]) ).
tcf(c_131143,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(demodulation,[status(thm)],[c_16583,c_131091]) ).
tcf(c_131450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_70]) ).
tcf(c_131451,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_75560]) ).
tcf(c_131454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_131091,c_17825]) ).
tcf(c_131455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_17392]) ).
tcf(c_131462,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_145]) ).
tcf(c_131464,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_70]) ).
tcf(c_131465,plain,
! [X0: $i] :
( ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(sz00,X0) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_131091,c_76]) ).
tcf(c_131466,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(superposition,[status(thm)],[c_131091,c_68]) ).
tcf(c_131467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_68]) ).
tcf(c_131469,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(X0,sK2(xq,xp)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_131091,c_77]) ).
tcf(c_131470,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_120287]) ).
tcf(c_131475,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_47638]) ).
tcf(c_131477,plain,
( sdtlseqdt0(sdtpldt0(xq,sK2(xq,xp)),xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_46832]) ).
tcf(c_131478,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_43963]) ).
tcf(c_131479,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_43085]) ).
tcf(c_131481,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_35146]) ).
tcf(c_131482,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_26041]) ).
tcf(c_131483,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_26044]) ).
tcf(c_131489,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_24885]) ).
tcf(c_131491,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131091,c_8652]) ).
tcf(c_131493,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_131091,c_107720]) ).
tcf(c_131494,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_107113]) ).
tcf(c_131495,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_73703]) ).
tcf(c_131496,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_131091,c_30160]) ).
tcf(c_131497,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_7120]) ).
tcf(c_131498,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131091,c_7066]) ).
tcf(c_131499,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_131091,c_4706]) ).
tcf(c_131500,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131462,c_103]) ).
tcf(c_131503,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sK2(xq,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131499,c_103]) ).
tcf(c_131507,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131498,c_103,c_2615]) ).
tcf(c_131512,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sz00 = xq )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131495,c_103,c_2615]) ).
tcf(c_131517,plain,
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_131451,c_2464]) ).
tcf(c_131518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(X0,sK2(xq,xp)) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131469,c_103]) ).
tcf(c_131523,plain,
! [X0: $i] :
( ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ( sdtpldt0(sz00,X0) != sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131465,c_103]) ).
tcf(c_131532,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131464,c_103]) ).
tcf(c_131539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131467,c_103]) ).
tcf(c_131545,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131466,c_103]) ).
tcf(c_131551,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131496,c_103]) ).
tcf(c_131558,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131493,c_103]) ).
tcf(c_131565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131454,c_103]) ).
tcf(c_131573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131455,c_103]) ).
tcf(c_131595,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_131483,c_131091]) ).
tcf(c_131611,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_131482,c_131091]) ).
tcf(c_131620,plain,
( sdtlseqdt0(xp,xp)
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_131477,c_3039,c_131091]) ).
tcf(c_131621,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_131475,c_131091]) ).
tcf(c_131629,plain,
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_131489,c_131621]) ).
tcf(c_131643,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_131470,c_131091]) ).
tcf(c_131655,plain,
( ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_131143,c_8631,c_131491]) ).
tcf(c_131656,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_131655]) ).
tcf(c_131663,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_72,c_131656]) ).
tcf(c_131664,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sz00,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131663,c_103]) ).
tcf(c_131673,plain,
( ~ aNaturalNumber0(sK2(xq,xp))
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_129354,c_6594,c_131664]) ).
tcf(c_131674,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(renaming,[status(thm)],[c_131673]) ).
tcf(c_131681,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_72,c_131674]) ).
tcf(c_131682,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131681,c_62,c_59,c_2649]) ).
tcf(c_131693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(sz00,X1),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24194]) ).
tcf(c_131694,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_119348]) ).
tcf(c_131695,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_25640]) ).
tcf(c_131696,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_131682,c_119241]) ).
tcf(c_131697,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_119173]) ).
tcf(c_131698,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_25636]) ).
tcf(c_131699,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_119044]) ).
tcf(c_131700,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_25635]) ).
tcf(c_131701,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_118351]) ).
tcf(c_131702,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_25634]) ).
tcf(c_131703,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24177]) ).
tcf(c_131704,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_115273]) ).
tcf(c_131705,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_116824]) ).
tcf(c_131707,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_115108]) ).
tcf(c_131708,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_115001]) ).
tcf(c_131709,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24176]) ).
tcf(c_131710,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24173]) ).
tcf(c_131711,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24172]) ).
tcf(c_131712,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24171]) ).
tcf(c_131713,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_65275]) ).
tcf(c_131716,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_99238]) ).
tcf(c_131717,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_98484]) ).
tcf(c_131718,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_92561]) ).
tcf(c_131719,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_75787]) ).
tcf(c_131720,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_73789]) ).
tcf(c_131721,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_58881]) ).
tcf(c_131722,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_52884]) ).
tcf(c_131723,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_131682,c_51430]) ).
tcf(c_131724,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_131682,c_50740]) ).
tcf(c_131725,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131682,c_50559]) ).
tcf(c_131726,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_46832]) ).
tcf(c_131727,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131682,c_46746]) ).
tcf(c_131728,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131682,c_45702]) ).
tcf(c_131729,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_131682,c_44832]) ).
tcf(c_131730,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_44733]) ).
tcf(c_131731,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_42039]) ).
tcf(c_131733,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_24919]) ).
tcf(c_131734,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(xq,xp),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_131682,c_40412]) ).
tcf(c_131735,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(xq,xp),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_131682,c_40382]) ).
tcf(c_131736,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(sK2(xq,xp),X0)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_40181]) ).
tcf(c_131737,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,sK2(xq,xp)))
| ( X1 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_40027]) ).
tcf(c_131738,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_35146]) ).
tcf(c_131739,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_131682,c_35118]) ).
tcf(c_131740,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))) ),
inference(superposition,[status(thm)],[c_131682,c_35089]) ).
tcf(c_131741,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_34468]) ).
tcf(c_131742,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_34388]) ).
tcf(c_131743,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(X0,sK2(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_26046]) ).
tcf(c_131744,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24918]) ).
tcf(c_131745,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24914]) ).
tcf(c_131746,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24913]) ).
tcf(c_131747,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24912]) ).
tcf(c_131748,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_26045]) ).
tcf(c_131749,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_15792]) ).
tcf(c_131750,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_26210]) ).
tcf(c_131751,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_26025]) ).
tcf(c_131752,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_25987]) ).
tcf(c_131753,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_15931]) ).
tcf(c_131754,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_24885]) ).
tcf(c_131755,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_15793]) ).
tcf(c_131756,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_21787]) ).
tcf(c_131757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_19367]) ).
tcf(c_131758,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_8679]) ).
tcf(c_131759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131682,c_8672]) ).
tcf(c_131761,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sdtpldt0(X0,sK2(xq,xp)) != sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_131682,c_8639]) ).
tcf(c_132419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_70294,c_131757]) ).
tcf(c_132420,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_131757]) ).
tcf(c_132422,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_131757]) ).
tcf(c_132426,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132422,c_103]) ).
tcf(c_132433,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132420,c_103]) ).
tcf(c_132442,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_132419,c_2464]) ).
tcf(c_132443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_70]) ).
tcf(c_132444,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_75560]) ).
tcf(c_132445,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_75392]) ).
tcf(c_132446,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28246,c_24035]) ).
tcf(c_132447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28246,c_17825]) ).
tcf(c_132448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28246,c_17392]) ).
tcf(c_132449,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_28246,c_14477]) ).
tcf(c_132450,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_5155]) ).
tcf(c_132453,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_28246,c_75]) ).
tcf(c_132455,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_145]) ).
tcf(c_132456,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_84]) ).
tcf(c_132457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_28246,c_70]) ).
tcf(c_132458,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xl,sdtpldt0(xm,xp)) ) ),
inference(superposition,[status(thm)],[c_28246,c_76]) ).
tcf(c_132459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_68]) ).
tcf(c_132460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_68]) ).
tcf(c_132461,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_28246,c_98]) ).
tcf(c_132462,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_28246,c_77]) ).
tcf(c_132463,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_132456,c_49,c_28177]) ).
tcf(c_132464,plain,
sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_132455,c_49,c_28177]) ).
tcf(c_132465,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132450,c_49,c_28177]) ).
tcf(c_132468,plain,
sdtpldt0(xl,sdtpldt0(xm,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_132453,c_58,c_49,c_28177]) ).
tcf(c_132469,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132462,c_49,c_28177]) ).
tcf(c_132473,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132461,c_49,c_28177]) ).
tcf(c_132478,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xp),X0) != sdtpldt0(xl,sdtpldt0(xm,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132458,c_49,c_28177]) ).
tcf(c_132482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132460,c_49,c_28177]) ).
tcf(c_132487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(sdtpldt0(xm,xp),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132459,c_49,c_28177]) ).
tcf(c_132492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132457,c_49,c_28177]) ).
tcf(c_132497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132443,c_49,c_28177]) ).
tcf(c_132502,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132445,c_49,c_28177]) ).
tcf(c_132507,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132449,c_49,c_28177]) ).
tcf(c_132512,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132446,c_49,c_28177]) ).
tcf(c_132518,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xp)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132444,c_49,c_28177]) ).
tcf(c_132524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xp),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132448,c_49,c_28177]) ).
tcf(c_132532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132447,c_49,c_28177]) ).
tcf(c_132642,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_132463,c_112581]) ).
tcf(c_132643,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xp))),xl) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_132463,c_3370]) ).
tcf(c_132644,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK2(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_132463,c_3010]) ).
tcf(c_132645,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2785]) ).
tcf(c_132646,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2781]) ).
tcf(c_132647,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2780]) ).
tcf(c_132648,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_132463,c_27869]) ).
tcf(c_132649,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2777]) ).
tcf(c_132650,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK2(sdtpldt0(xl,sdtpldt0(xm,xp)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_132463,c_13871]) ).
tcf(c_132651,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2776]) ).
tcf(c_132652,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2775]) ).
tcf(c_132653,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2709]) ).
tcf(c_132654,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2705]) ).
tcf(c_132655,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2704]) ).
tcf(c_132656,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2701]) ).
tcf(c_132657,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2700]) ).
tcf(c_132658,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xp))),
inference(superposition,[status(thm)],[c_132463,c_2699]) ).
tcf(c_132659,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xp))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_132463,c_79]) ).
tcf(c_132660,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_132463,c_78]) ).
tcf(c_132661,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_132463,c_95]) ).
tcf(c_132662,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_132463,c_82]) ).
tcf(c_132663,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sdtpldt0(xl,sdtpldt0(xm,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_132463,c_152]) ).
tcf(c_132664,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_132463,c_96]) ).
tcf(c_132665,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_132463,c_83]) ).
tcf(c_132666,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))) = sz00,
inference(superposition,[status(thm)],[c_132463,c_94]) ).
tcf(c_132667,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_132463,c_93]) ).
tcf(c_132668,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_132463,c_81]) ).
tcf(c_132669,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(superposition,[status(thm)],[c_132463,c_80]) ).
tcf(c_132705,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132464,c_109]) ).
tcf(c_132706,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132464,c_25649]) ).
tcf(c_132707,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132464,c_12741]) ).
tcf(c_132709,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00) ),
inference(superposition,[status(thm)],[c_132464,c_8700]) ).
tcf(c_132711,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_132464,c_110]) ).
tcf(c_132712,plain,
( ( sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132464,c_73]) ).
tcf(c_132713,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132705,c_28177,c_132463]) ).
tcf(c_132717,plain,
sdtpldt0(sdtpldt0(xm,xp),sK2(sdtpldt0(xm,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_132712,c_28177,c_132463]) ).
tcf(c_132718,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sdtpldt0(xm,xp) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtpldt0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132711,c_28177,c_132463]) ).
tcf(c_132722,plain,
( sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sdtpldt0(xl,sdtpldt0(xm,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132707,c_28177,c_132463]) ).
tcf(c_132727,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(light_normalisation,[status(thm)],[c_132706,c_132668]) ).
tcf(c_132728,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xm,xp)))
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132727,c_28177,c_132463]) ).
tcf(c_132739,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131500,c_109]) ).
tcf(c_132746,plain,
( ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131500,c_73]) ).
tcf(c_132748,plain,
( ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132746,c_103]) ).
tcf(c_132751,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132739,c_103]) ).
tcf(c_132756,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132666,c_89]) ).
tcf(c_132761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132666,c_18982]) ).
tcf(c_132763,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132666,c_15630]) ).
tcf(c_132773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_132666,c_92]) ).
tcf(c_132774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132666,c_89]) ).
tcf(c_132775,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132773,c_132468,c_103,c_132463]) ).
tcf(c_132781,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132756,c_132468,c_103,c_132463]) ).
tcf(c_132786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xp))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132761,c_132468,c_103,c_2614,c_132463]) ).
tcf(c_132799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132667,c_18291]) ).
tcf(c_132802,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_132667,c_91]) ).
tcf(c_132805,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132667,c_142]) ).
tcf(c_132807,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132667,c_87]) ).
tcf(c_132809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132667,c_87]) ).
tcf(c_132812,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_132805,c_103,c_132463]) ).
tcf(c_132813,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132802,c_132468,c_103,c_132463]) ).
tcf(c_132818,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132807,c_132468,c_103,c_132463]) ).
tcf(c_132823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132799,c_132468,c_103,c_2614,c_132463]) ).
tcf(c_132830,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132812,c_106]) ).
tcf(c_132831,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132812,c_99]) ).
tcf(c_132832,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK3(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_132812,c_102]) ).
tcf(c_132833,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xp)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132831,c_103,c_132463]) ).
tcf(c_132837,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK3(sdtpldt0(xl,sdtpldt0(xm,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_132832,c_103,c_132463]) ).
tcf(c_132838,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_132830,c_132468,c_103,c_132463]) ).
tcf(c_132850,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3039,c_131730]) ).
tcf(c_132852,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_131730,c_109]) ).
tcf(c_132853,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_131730,c_25649]) ).
tcf(c_132854,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_131730,c_12741]) ).
tcf(c_132855,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_131730,c_11962]) ).
tcf(c_132856,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_131730,c_8700]) ).
tcf(c_132858,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))),xp) ),
inference(superposition,[status(thm)],[c_131730,c_110]) ).
tcf(c_132859,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_131730,c_73]) ).
tcf(c_132860,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_131730,c_3965]) ).
tcf(c_132861,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_131730,c_28380]) ).
tcf(c_132864,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_132850,c_58458]) ).
tcf(c_132872,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132852,c_59]) ).
tcf(c_132889,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132855,c_59]) ).
tcf(c_132898,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,sK2(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132859,c_59]) ).
tcf(c_132905,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132858,c_59]) ).
tcf(c_132913,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132856,c_59]) ).
tcf(c_132922,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))) = sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132854,c_59]) ).
tcf(c_132931,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132853,c_59]) ).
tcf(c_132950,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3039,c_131756]) ).
tcf(c_132952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_109]) ).
tcf(c_132953,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_25649]) ).
tcf(c_132954,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_12741]) ).
tcf(c_132955,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_11962]) ).
tcf(c_132956,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_131756,c_8700]) ).
tcf(c_132957,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_3979]) ).
tcf(c_132958,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131756,c_110]) ).
tcf(c_132959,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_73]) ).
tcf(c_132960,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_12745]) ).
tcf(c_132961,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_12182]) ).
tcf(c_132963,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131756,c_5910]) ).
tcf(c_132968,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_132950,c_62]) ).
tcf(c_133102,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_108,c_131728]) ).
tcf(c_133103,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(X0,sK2(xq,xp)),X1))
| ( X1 = sz00 )
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_102212,c_131728]) ).
tcf(c_133104,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,sK2(xq,xp)),X1))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_75392,c_131728]) ).
tcf(c_133105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11984,c_131728]) ).
tcf(c_133106,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_11891,c_131728]) ).
tcf(c_133107,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_12725,c_131728]) ).
tcf(c_133108,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_6696,c_131728]) ).
tcf(c_133118,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3039,c_131728]) ).
tcf(c_133120,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133118,c_62]) ).
tcf(c_133189,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131696,c_109]) ).
tcf(c_133190,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131696,c_25649]) ).
tcf(c_133195,plain,
( ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131696,c_110]) ).
tcf(c_133196,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_131696,c_73]) ).
tcf(c_133197,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_131696,c_61224]) ).
tcf(c_133201,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,xp))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(superposition,[status(thm)],[c_131696,c_5910]) ).
tcf(c_133207,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xq))
| ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(light_normalisation,[status(thm)],[c_133201,c_58458]) ).
tcf(c_133208,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133196,c_59]) ).
tcf(c_133214,plain,
( ( sK2(xq,xp) = xp )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(xp,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133195,c_59]) ).
tcf(c_133221,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133189,c_59]) ).
tcf(c_133229,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_133190,c_2475]) ).
tcf(c_133230,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133229,c_59]) ).
tcf(c_133267,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != xp ) ),
inference(superposition,[status(thm)],[c_3039,c_131761]) ).
tcf(c_133269,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133267,c_62]) ).
tcf(c_133288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131742,c_109]) ).
tcf(c_133289,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131742,c_25649]) ).
tcf(c_133290,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131742,c_12741]) ).
tcf(c_133291,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131742,c_11962]) ).
tcf(c_133292,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_131742,c_8700]) ).
tcf(c_133294,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xq) ),
inference(superposition,[status(thm)],[c_131742,c_110]) ).
tcf(c_133295,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131742,c_73]) ).
tcf(c_133299,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X1,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133288,c_62]) ).
tcf(c_133309,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133295,c_62]) ).
tcf(c_133317,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133294,c_62]) ).
tcf(c_133329,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133289,c_62]) ).
tcf(c_133357,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3039,c_131737]) ).
tcf(c_133359,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131737,c_109]) ).
tcf(c_133360,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131737,c_25649]) ).
tcf(c_133364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131737,c_3979]) ).
tcf(c_133365,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),X1) ),
inference(superposition,[status(thm)],[c_131737,c_110]) ).
tcf(c_133366,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X1,sK2(X1,sdtpldt0(X0,sK2(xq,xp)))) = sdtpldt0(X0,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131737,c_73]) ).
tcf(c_133367,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131737,c_3965]) ).
tcf(c_133371,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(X0,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_131737,c_8702]) ).
tcf(c_133376,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_131737,c_26045]) ).
tcf(c_133377,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131737,c_8679]) ).
tcf(c_133380,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133357,c_62]) ).
tcf(c_133406,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sK2(xq,xp)))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_133367,c_59]) ).
tcf(c_133687,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(sz00,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_131753]) ).
tcf(c_133689,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_131753]) ).
tcf(c_133696,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_131753]) ).
tcf(c_133699,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_131753]) ).
tcf(c_133703,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_131753]) ).
tcf(c_133704,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_131753]) ).
tcf(c_133721,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK2(xq,xp))
| sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_109]) ).
tcf(c_133722,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_25649]) ).
tcf(c_133723,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_12741]) ).
tcf(c_133724,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_11962]) ).
tcf(c_133725,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_8700]) ).
tcf(c_133726,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_3979]) ).
tcf(c_133727,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131753,c_110]) ).
tcf(c_133728,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_73]) ).
tcf(c_133729,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_12745]) ).
tcf(c_133730,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_12182]) ).
tcf(c_133731,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_8702]) ).
tcf(c_133732,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_5910]) ).
tcf(c_133733,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_47638]) ).
tcf(c_133734,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131753,c_45030]) ).
tcf(c_134083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,sdtpldt0(xm,xp))),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_28362,c_70]) ).
tcf(c_134097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sK2(xp,sdtpldt0(xm,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_28362,c_70]) ).
tcf(c_134098,plain,
! [X0: $i] :
( ( sK2(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_28362,c_76]) ).
tcf(c_134099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( sK2(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sK2(xp,sdtpldt0(xm,xp)),X0) ),
inference(superposition,[status(thm)],[c_28362,c_68]) ).
tcf(c_134100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( sK2(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sK2(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_28362,c_68]) ).
tcf(c_134101,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sK2(xp,sdtpldt0(xm,xp))) ),
inference(superposition,[status(thm)],[c_28362,c_98]) ).
tcf(c_134102,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(X0,sK2(xp,sdtpldt0(xm,xp))) != sdtpldt0(xm,xp) ) ),
inference(superposition,[status(thm)],[c_28362,c_77]) ).
tcf(c_134103,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(X0,sK2(xp,sdtpldt0(xm,xp))) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134102,c_59]) ).
tcf(c_134108,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ~ doDivides0(X0,sK2(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134101,c_59]) ).
tcf(c_134114,plain,
! [X0: $i] :
( ( sK2(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134098,c_59]) ).
tcf(c_134119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(X0,sK2(xp,sdtpldt0(xm,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134097,c_59]) ).
tcf(c_134125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xp,sdtpldt0(xm,xp))),sdtpldt0(xm,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134083,c_59]) ).
tcf(c_134131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xm,xp))
| ( sK2(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(X0,sK2(xp,sdtpldt0(xm,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134100,c_59]) ).
tcf(c_134137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xp),sdtpldt0(xp,X0))
| ( sK2(xp,sdtpldt0(xm,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xp,sdtpldt0(xm,xp)))
| ~ sdtlseqdt0(sK2(xp,sdtpldt0(xm,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134099,c_59]) ).
tcf(c_134149,plain,
( sdtlseqdt0(xq,xq)
| ( xm = xq )
| ~ sdtlseqdt0(xm,xq) ),
inference(light_normalisation,[status(thm)],[c_66732,c_110513]) ).
tcf(c_134165,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_71257,c_25649]) ).
tcf(c_134174,plain,
sdtasdt0(xm,xp) != sz00,
inference(global_subsumption_just,[status(thm)],[c_71322,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_71322]) ).
tcf(c_134180,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71528,c_109]) ).
tcf(c_134181,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xm,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71528,c_25649]) ).
tcf(c_134186,plain,
( ( sdtasdt0(xm,xp) = xq )
| ( sdtasdt0(xm,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xp),xq) ),
inference(superposition,[status(thm)],[c_71528,c_110]) ).
tcf(c_134187,plain,
( ( sdtasdt0(xm,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xp)) ),
inference(superposition,[status(thm)],[c_71528,c_73]) ).
tcf(c_134188,plain,
( ( sdtasdt0(xm,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xm,xp))) = sdtasdt0(xm,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134187,c_62,c_71319]) ).
tcf(c_134191,plain,
( ( sdtasdt0(xm,xp) = xq )
| ( sdtasdt0(xm,xp) = xp )
| ~ sdtlseqdt0(sdtasdt0(xm,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134186,c_62,c_71319]) ).
tcf(c_134195,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xm,xp))
| ( sdtasdt0(xm,xp) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134180,c_62,c_71319]) ).
tcf(c_134200,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_134181,c_71443]) ).
tcf(c_134201,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xm,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_134200,c_62,c_71319]) ).
tcf(c_134232,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_131755]) ).
tcf(c_134239,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_131755]) ).
tcf(c_134242,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_131755]) ).
tcf(c_134246,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_131755]) ).
tcf(c_134247,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_131755]) ).
tcf(c_134264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),X1)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_109]) ).
tcf(c_134265,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_25649]) ).
tcf(c_134266,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_12741]) ).
tcf(c_134267,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_11962]) ).
tcf(c_134268,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_8700]) ).
tcf(c_134269,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_3979]) ).
tcf(c_134270,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_131755,c_110]) ).
tcf(c_134271,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_73]) ).
tcf(c_134272,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131755,c_5863]) ).
tcf(c_134377,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),X0)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_134265,c_131091]) ).
tcf(c_134475,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3046,c_131758]) ).
tcf(c_134476,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3045,c_131758]) ).
tcf(c_134477,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3044,c_131758]) ).
tcf(c_134479,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_3040,c_131758]) ).
tcf(c_134480,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_131758]) ).
tcf(c_134487,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_131758]) ).
tcf(c_134490,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_131758]) ).
tcf(c_134494,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_131758]) ).
tcf(c_134495,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_131758]) ).
tcf(c_134512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_109]) ).
tcf(c_134513,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_25649]) ).
tcf(c_134514,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_12741]) ).
tcf(c_134515,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_11962]) ).
tcf(c_134516,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_8700]) ).
tcf(c_134517,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_3979]) ).
tcf(c_134518,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131758,c_110]) ).
tcf(c_134519,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_73]) ).
tcf(c_134520,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,X0))) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_12745]) ).
tcf(c_134521,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_12182]) ).
tcf(c_134522,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_8702]) ).
tcf(c_134523,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_5910]) ).
tcf(c_134524,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_47638]) ).
tcf(c_134525,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131758,c_45030]) ).
tcf(c_134829,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3046,c_131759]) ).
tcf(c_134830,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3045,c_131759]) ).
tcf(c_134831,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3044,c_131759]) ).
tcf(c_134832,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3041,c_131759]) ).
tcf(c_134833,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3040,c_131759]) ).
tcf(c_134834,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtasdt0(xl,xq)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_3894,c_131759]) ).
tcf(c_134841,plain,
( sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xm)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_21011,c_131759]) ).
tcf(c_134844,plain,
( sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xn)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_21600,c_131759]) ).
tcf(c_134848,plain,
( sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xp)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_22695,c_131759]) ).
tcf(c_134849,plain,
( sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sdtpldt0(xl,xq)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_22982,c_131759]) ).
tcf(c_134866,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_109]) ).
tcf(c_134867,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_25649]) ).
tcf(c_134868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_12741]) ).
tcf(c_134869,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_11962]) ).
tcf(c_134870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_8700]) ).
tcf(c_134871,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_3979]) ).
tcf(c_134872,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_131759,c_110]) ).
tcf(c_134873,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_73]) ).
tcf(c_134874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131759,c_5863]) ).
tcf(c_135009,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_134867,c_131091]) ).
tcf(c_135043,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_131713]) ).
tcf(c_135044,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_131713]) ).
tcf(c_135046,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_131713]) ).
tcf(c_135050,plain,
( sdtlseqdt0(xq,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_131713]) ).
tcf(c_135052,plain,
( sdtlseqdt0(xq,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_131713]) ).
tcf(c_135053,plain,
( sdtlseqdt0(xq,sK2(sz00,xp))
| sdtlseqdt0(xp,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3041,c_131713]) ).
tcf(c_135054,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xq,sK2(sz00,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_131713]) ).
tcf(c_135055,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_131713]) ).
tcf(c_135058,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_131713]) ).
tcf(c_135059,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_131713]) ).
tcf(c_135060,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_131713]) ).
tcf(c_135062,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_131713]) ).
tcf(c_135063,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_131713]) ).
tcf(c_135065,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_131713]) ).
tcf(c_135066,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_131713]) ).
tcf(c_135068,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_131713]) ).
tcf(c_135069,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_131713]) ).
tcf(c_135070,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_131713]) ).
tcf(c_135071,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_131713]) ).
tcf(c_135072,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_131713]) ).
tcf(c_135074,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_131713]) ).
tcf(c_135077,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_131713]) ).
tcf(c_135078,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_131713]) ).
tcf(c_135079,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_131713]) ).
tcf(c_135080,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_131713]) ).
tcf(c_135082,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_131713]) ).
tcf(c_135083,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_131713]) ).
tcf(c_135084,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_131713]) ).
tcf(c_135085,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_131713]) ).
tcf(c_135087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_109]) ).
tcf(c_135088,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_25649]) ).
tcf(c_135089,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_12741]) ).
tcf(c_135090,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_11962]) ).
tcf(c_135091,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_8700]) ).
tcf(c_135092,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_3979]) ).
tcf(c_135093,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_131713,c_110]) ).
tcf(c_135094,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_73]) ).
tcf(c_135095,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131713,c_5863]) ).
tcf(c_135098,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135046,c_51]) ).
tcf(c_135105,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135044,c_49]) ).
tcf(c_135112,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135043,c_103]) ).
tcf(c_135147,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135085,c_110577]) ).
tcf(c_135154,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135084,c_110996]) ).
tcf(c_135161,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135083,c_81668]) ).
tcf(c_135168,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135082,c_81151]) ).
tcf(c_135175,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135080,c_71319]) ).
tcf(c_135182,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135079,c_68944]) ).
tcf(c_135189,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135078,c_62562]) ).
tcf(c_135196,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135077,c_61931]) ).
tcf(c_135203,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135074,c_41576]) ).
tcf(c_135210,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135072,c_28177]) ).
tcf(c_135217,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135060,c_16905]) ).
tcf(c_135224,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135059,c_14856]) ).
tcf(c_135231,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135058,c_14661]) ).
tcf(c_135283,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135071,c_27911]) ).
tcf(c_135290,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135068,c_22296]) ).
tcf(c_135297,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135066,c_21527]) ).
tcf(c_135304,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135063,c_20938]) ).
tcf(c_135381,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_135088,c_131091]) ).
tcf(c_135777,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2465,c_131749]) ).
tcf(c_135778,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2470,c_131749]) ).
tcf(c_135780,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_2472,c_131749]) ).
tcf(c_135784,plain,
( sdtlseqdt0(xq,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3046,c_131749]) ).
tcf(c_135785,plain,
( sdtlseqdt0(xq,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3045,c_131749]) ).
tcf(c_135786,plain,
( sdtlseqdt0(xq,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3044,c_131749]) ).
tcf(c_135788,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xq,sK2(sz00,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3040,c_131749]) ).
tcf(c_135789,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_3894,c_131749]) ).
tcf(c_135792,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_14759,c_131749]) ).
tcf(c_135793,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_15047,c_131749]) ).
tcf(c_135794,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sdtpldt0(xl,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_16965,c_131749]) ).
tcf(c_135796,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21011,c_131749]) ).
tcf(c_135797,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_21027,c_131749]) ).
tcf(c_135799,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_21600,c_131749]) ).
tcf(c_135800,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))) ),
inference(superposition,[status(thm)],[c_21616,c_131749]) ).
tcf(c_135802,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_22436,c_131749]) ).
tcf(c_135803,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_22695,c_131749]) ).
tcf(c_135804,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sK2(sz00,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_22982,c_131749]) ).
tcf(c_135805,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_28059,c_131749]) ).
tcf(c_135806,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sdtpldt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_28256,c_131749]) ).
tcf(c_135808,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_41659,c_131749]) ).
tcf(c_135811,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62097,c_131749]) ).
tcf(c_135812,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_62808,c_131749]) ).
tcf(c_135813,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_69132,c_131749]) ).
tcf(c_135814,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_71443,c_131749]) ).
tcf(c_135816,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_131749]) ).
tcf(c_135817,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_81798,c_131749]) ).
tcf(c_135818,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110983,c_131749]) ).
tcf(c_135819,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_110555,c_131749]) ).
tcf(c_135821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xq,X1)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_109]) ).
tcf(c_135822,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(xq,xp)))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_25649]) ).
tcf(c_135823,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_12741]) ).
tcf(c_135824,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_11962]) ).
tcf(c_135825,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_8700]) ).
tcf(c_135826,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_3979]) ).
tcf(c_135827,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_131749,c_110]) ).
tcf(c_135828,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sdtpldt0(sdtpldt0(sz00,X0),sK2(sdtpldt0(sz00,X0),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_73]) ).
tcf(c_135829,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sz00,X0)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,X0) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131749,c_5863]) ).
tcf(c_135832,plain,
( sdtlseqdt0(xq,xn)
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135780,c_51]) ).
tcf(c_135839,plain,
( sdtlseqdt0(xq,xl)
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135778,c_49]) ).
tcf(c_135846,plain,
( sdtlseqdt0(xq,sz00)
| sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135777,c_103]) ).
tcf(c_135881,plain,
( sdtlseqdt0(xq,sdtasdt0(xq,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135819,c_110577]) ).
tcf(c_135888,plain,
( sdtlseqdt0(xq,sdtpldt0(xp,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xp,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135818,c_110996]) ).
tcf(c_135895,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135817,c_81668]) ).
tcf(c_135902,plain,
( sdtlseqdt0(xq,sdtasdt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135816,c_81151]) ).
tcf(c_135909,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135814,c_71319]) ).
tcf(c_135916,plain,
( sdtlseqdt0(xq,sdtasdt0(xm,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135813,c_68944]) ).
tcf(c_135923,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135812,c_62562]) ).
tcf(c_135930,plain,
( sdtlseqdt0(xq,sdtasdt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtasdt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135811,c_61931]) ).
tcf(c_135937,plain,
( sdtlseqdt0(xq,sdtpldt0(xn,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135808,c_41576]) ).
tcf(c_135944,plain,
( sdtlseqdt0(xq,sdtpldt0(xm,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xm,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xm,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135806,c_28177]) ).
tcf(c_135951,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135794,c_16905]) ).
tcf(c_135958,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xn))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xn) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135793,c_14856]) ).
tcf(c_135965,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,xm))
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xl,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135792,c_14661]) ).
tcf(c_136017,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xp)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135805,c_27911]) ).
tcf(c_136024,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xn)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135802,c_22296]) ).
tcf(c_136031,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xm)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135800,c_21527]) ).
tcf(c_136038,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtasdt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135797,c_20938]) ).
tcf(c_136115,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(sz00,X0),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_135822,c_131091]) ).
tcf(c_136297,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131695,c_109]) ).
tcf(c_136300,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131695,c_11962]) ).
tcf(c_136301,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131695,c_8700]) ).
tcf(c_136302,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(sz00,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131695,c_3979]) ).
tcf(c_136303,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xq)) ),
inference(superposition,[status(thm)],[c_131695,c_110]) ).
tcf(c_136304,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sK2(sz00,xq),sK2(sK2(sz00,xq),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131695,c_73]) ).
tcf(c_136305,plain,
( sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131695,c_5863]) ).
tcf(c_136374,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131698,c_109]) ).
tcf(c_136377,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131698,c_11962]) ).
tcf(c_136378,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131698,c_8700]) ).
tcf(c_136379,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(sz00,xn),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131698,c_3979]) ).
tcf(c_136380,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xn)) ),
inference(superposition,[status(thm)],[c_131698,c_110]) ).
tcf(c_136381,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sK2(sz00,xn),sK2(sK2(sz00,xn),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131698,c_73]) ).
tcf(c_136382,plain,
( sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xn)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131698,c_5863]) ).
tcf(c_136451,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(X0,sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131700,c_109]) ).
tcf(c_136454,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131700,c_11962]) ).
tcf(c_136455,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131700,c_8700]) ).
tcf(c_136456,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(sz00,xm),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131700,c_3979]) ).
tcf(c_136457,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xm)) ),
inference(superposition,[status(thm)],[c_131700,c_110]) ).
tcf(c_136458,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sK2(sz00,xm),sK2(sK2(sz00,xm),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131700,c_73]) ).
tcf(c_136459,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xm)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131700,c_5863]) ).
tcf(c_136516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_70]) ).
tcf(c_136517,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_75560]) ).
tcf(c_136518,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_75392]) ).
tcf(c_136519,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29576,c_24035]) ).
tcf(c_136520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29576,c_17825]) ).
tcf(c_136521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29576,c_17392]) ).
tcf(c_136522,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29576,c_14477]) ).
tcf(c_136523,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_5155]) ).
tcf(c_136526,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_29576,c_75]) ).
tcf(c_136528,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_145]) ).
tcf(c_136529,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_84]) ).
tcf(c_136530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_29576,c_70]) ).
tcf(c_136531,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,sdtpldt0(xm,xq)) ) ),
inference(superposition,[status(thm)],[c_29576,c_76]) ).
tcf(c_136532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_68]) ).
tcf(c_136533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_68]) ).
tcf(c_136534,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29576,c_98]) ).
tcf(c_136535,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_29576,c_77]) ).
tcf(c_136536,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_136529,c_50,c_29400]) ).
tcf(c_136537,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_136528,c_50,c_29400]) ).
tcf(c_136538,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136523,c_50,c_29400]) ).
tcf(c_136541,plain,
sdtpldt0(xm,sdtpldt0(xm,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_136526,c_11841,c_50,c_29400]) ).
tcf(c_136542,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136535,c_50,c_29400]) ).
tcf(c_136546,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136534,c_50,c_29400]) ).
tcf(c_136551,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xm,sdtpldt0(xm,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136531,c_50,c_29400]) ).
tcf(c_136555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136533,c_50,c_29400]) ).
tcf(c_136560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136532,c_50,c_29400]) ).
tcf(c_136565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(X0,xm))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136530,c_50,c_29400]) ).
tcf(c_136570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136516,c_50,c_29400]) ).
tcf(c_136575,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136518,c_50,c_29400]) ).
tcf(c_136580,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136522,c_50,c_29400]) ).
tcf(c_136585,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136519,c_50,c_29400]) ).
tcf(c_136591,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136517,c_50,c_29400]) ).
tcf(c_136597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136521,c_50,c_29400]) ).
tcf(c_136605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_136520,c_50,c_29400]) ).
tcf(c_136691,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_136536,c_112581]) ).
tcf(c_136692,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xq))),xl) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_136536,c_3370]) ).
tcf(c_136693,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK2(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_136536,c_3010]) ).
tcf(c_136694,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2785]) ).
tcf(c_136695,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2781]) ).
tcf(c_136696,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2780]) ).
tcf(c_136697,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_136536,c_27869]) ).
tcf(c_136698,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2777]) ).
tcf(c_136699,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK2(sdtpldt0(xm,sdtpldt0(xm,xq)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_136536,c_13871]) ).
tcf(c_136700,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2776]) ).
tcf(c_136701,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2775]) ).
tcf(c_136702,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2709]) ).
tcf(c_136703,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2705]) ).
tcf(c_136704,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2704]) ).
tcf(c_136705,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2701]) ).
tcf(c_136706,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2700]) ).
tcf(c_136707,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_136536,c_2699]) ).
tcf(c_136708,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xq))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_136536,c_79]) ).
tcf(c_136709,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_136536,c_78]) ).
tcf(c_136710,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_136536,c_95]) ).
tcf(c_136711,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_136536,c_82]) ).
tcf(c_136712,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sdtpldt0(xm,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_136536,c_152]) ).
tcf(c_136713,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_136536,c_96]) ).
tcf(c_136714,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_136536,c_83]) ).
tcf(c_136715,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))) = sz00,
inference(superposition,[status(thm)],[c_136536,c_94]) ).
tcf(c_136716,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_136536,c_93]) ).
tcf(c_136717,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_136536,c_81]) ).
tcf(c_136718,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_136536,c_80]) ).
tcf(c_137247,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136537,c_109]) ).
tcf(c_137248,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136537,c_25649]) ).
tcf(c_137249,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136537,c_12741]) ).
tcf(c_137251,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_136537,c_8700]) ).
tcf(c_137253,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_136537,c_110]) ).
tcf(c_137254,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK2(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136537,c_73]) ).
tcf(c_137255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137247,c_29400,c_136536]) ).
tcf(c_137259,plain,
sdtpldt0(sdtpldt0(xm,xq),sK2(sdtpldt0(xm,xq),sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_137254,c_29400,c_136536]) ).
tcf(c_137260,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137253,c_29400,c_136536]) ).
tcf(c_137264,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sdtpldt0(xm,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137249,c_29400,c_136536]) ).
tcf(c_137269,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(light_normalisation,[status(thm)],[c_137248,c_136717]) ).
tcf(c_137270,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xm,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137269,c_29400,c_136536]) ).
tcf(c_137277,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136715,c_89]) ).
tcf(c_137282,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136715,c_18982]) ).
tcf(c_137284,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136715,c_15630]) ).
tcf(c_137294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_136715,c_92]) ).
tcf(c_137295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136715,c_89]) ).
tcf(c_137296,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137294,c_136541,c_103,c_136536]) ).
tcf(c_137302,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137277,c_136541,c_103,c_136536]) ).
tcf(c_137307,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137282,c_136541,c_103,c_2614,c_136536]) ).
tcf(c_137320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136716,c_18291]) ).
tcf(c_137323,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_136716,c_91]) ).
tcf(c_137326,plain,
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136716,c_142]) ).
tcf(c_137328,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136716,c_87]) ).
tcf(c_137330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_136716,c_87]) ).
tcf(c_137333,plain,
doDivides0(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_137326,c_103,c_136536]) ).
tcf(c_137334,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137323,c_136541,c_103,c_136536]) ).
tcf(c_137339,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137328,c_136541,c_103,c_136536]) ).
tcf(c_137344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137320,c_136541,c_103,c_2614,c_136536]) ).
tcf(c_137351,plain,
( ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_137333,c_106]) ).
tcf(c_137352,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_137333,c_99]) ).
tcf(c_137353,plain,
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK3(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_137333,c_102]) ).
tcf(c_137354,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,sdtpldt0(xm,xq)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137352,c_103,c_136536]) ).
tcf(c_137358,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK3(sdtpldt0(xm,sdtpldt0(xm,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_137353,c_103,c_136536]) ).
tcf(c_137359,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_137351,c_136541,c_103,c_136536]) ).
tcf(c_137364,plain,
sdtlseqdt0(xq,sdtpldt0(xl,xm)),
inference(global_subsumption_just,[status(thm)],[c_78035,c_78035,c_124360]) ).
tcf(c_137366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_137364,c_109]) ).
tcf(c_137367,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137364,c_25649]) ).
tcf(c_137372,plain,
( ( sdtpldt0(xl,xm) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xq) ),
inference(superposition,[status(thm)],[c_137364,c_110]) ).
tcf(c_137373,plain,
( ( sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_137364,c_73]) ).
tcf(c_137374,plain,
sdtpldt0(xq,sK2(xq,sdtpldt0(xl,xm))) = sdtpldt0(xl,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_137373,c_62,c_14661]) ).
tcf(c_137375,plain,
( ( sdtpldt0(xl,xm) = xq )
| ~ sdtlseqdt0(sdtpldt0(xl,xm),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137372,c_62,c_14661]) ).
tcf(c_137378,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137366,c_62,c_14661]) ).
tcf(c_137382,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_137367,c_14759]) ).
tcf(c_137383,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_137382,c_62,c_14661]) ).
tcf(c_137401,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(X0,sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131702,c_109]) ).
tcf(c_137404,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131702,c_11962]) ).
tcf(c_137405,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131702,c_8700]) ).
tcf(c_137406,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(sz00,xl),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131702,c_3979]) ).
tcf(c_137407,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(sz00,xl)) ),
inference(superposition,[status(thm)],[c_131702,c_110]) ).
tcf(c_137408,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sK2(sz00,xl),sK2(sK2(sz00,xl),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131702,c_73]) ).
tcf(c_137409,plain,
( sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sdtpldt0(xq,sK2(sz00,xl)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131702,c_5863]) ).
tcf(c_137478,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_109]) ).
tcf(c_137479,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_25649]) ).
tcf(c_137480,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xq))) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_12741]) ).
tcf(c_137481,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xq))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_11962]) ).
tcf(c_137482,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_8700]) ).
tcf(c_137483,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xq,sK2(sz00,xq))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_3979]) ).
tcf(c_137484,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131703,c_110]) ).
tcf(c_137485,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(sz00,xq))) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_73]) ).
tcf(c_137486,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xq))) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_12745]) ).
tcf(c_137487,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sz00,sK2(sz00,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_12182]) ).
tcf(c_137488,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ sdtlseqdt0(sK2(sz00,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_8702]) ).
tcf(c_137489,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xq) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131703,c_5910]) ).
tcf(c_137562,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xq)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_137479,c_3040]) ).
tcf(c_137638,plain,
( ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sK2(xq,xp) = sz00 )
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,xp)) ),
inference(global_subsumption_just,[status(thm)],[c_131709,c_8631,c_14434,c_131709,c_133214]) ).
tcf(c_137639,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(renaming,[status(thm)],[c_137638]) ).
tcf(c_137650,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_109]) ).
tcf(c_137651,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_25649]) ).
tcf(c_137652,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xp))) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_12741]) ).
tcf(c_137653,plain,
( sdtlseqdt0(sz00,sK2(sz00,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_11962]) ).
tcf(c_137654,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_8700]) ).
tcf(c_137656,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xp),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_137639,c_110]) ).
tcf(c_137657,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(sz00,xp))) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_73]) ).
tcf(c_137658,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xp))) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_12745]) ).
tcf(c_137659,plain,
( sdtlseqdt0(sz00,sK2(sz00,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_12182]) ).
tcf(c_137660,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_8702]) ).
tcf(c_137661,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xp) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_137639,c_5910]) ).
tcf(c_137718,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_137651,c_3041]) ).
tcf(c_137753,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xn))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_109]) ).
tcf(c_137754,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_25649]) ).
tcf(c_137755,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xn))) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_12741]) ).
tcf(c_137756,plain,
( sdtlseqdt0(sz00,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_11962]) ).
tcf(c_137757,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_8700]) ).
tcf(c_137758,plain,
( sdtlseqdt0(xq,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_3979]) ).
tcf(c_137759,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131710,c_110]) ).
tcf(c_137760,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(sz00,xn))) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_73]) ).
tcf(c_137761,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xn))) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_12745]) ).
tcf(c_137762,plain,
( sdtlseqdt0(sz00,sK2(sz00,xn))
| sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_12182]) ).
tcf(c_137763,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ sdtlseqdt0(sK2(sz00,xn),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_8702]) ).
tcf(c_137764,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,xn)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xn) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131710,c_5910]) ).
tcf(c_137837,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xn)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_137754,c_3044]) ).
tcf(c_137875,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_109]) ).
tcf(c_137876,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_25649]) ).
tcf(c_137877,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xm))) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_12741]) ).
tcf(c_137878,plain,
( sdtlseqdt0(sz00,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_11962]) ).
tcf(c_137879,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_8700]) ).
tcf(c_137880,plain,
( sdtlseqdt0(xq,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_3979]) ).
tcf(c_137881,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xm),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131711,c_110]) ).
tcf(c_137882,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(sz00,xm))) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_73]) ).
tcf(c_137883,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xm))) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_12745]) ).
tcf(c_137884,plain,
( sdtlseqdt0(sz00,sK2(sz00,xm))
| sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_12182]) ).
tcf(c_137885,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ sdtlseqdt0(sK2(sz00,xm),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_8702]) ).
tcf(c_137886,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131711,c_5910]) ).
tcf(c_137959,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_137876,c_3045]) ).
tcf(c_138083,plain,
! [X0: $i] :
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(X0,sK2(sz00,xl))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_109]) ).
tcf(c_138084,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sK2(sz00,xl)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_25649]) ).
tcf(c_138085,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xl))) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_12741]) ).
tcf(c_138086,plain,
( sdtlseqdt0(sz00,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_11962]) ).
tcf(c_138087,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_8700]) ).
tcf(c_138088,plain,
( sdtlseqdt0(xq,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_3979]) ).
tcf(c_138089,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,xl),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131712,c_110]) ).
tcf(c_138090,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(sz00,xl))) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_73]) ).
tcf(c_138091,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(sz00,xl))) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_12745]) ).
tcf(c_138092,plain,
( sdtlseqdt0(sz00,sK2(sz00,xl))
| sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_12182]) ).
tcf(c_138093,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ sdtlseqdt0(sK2(sz00,xl),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_8702]) ).
tcf(c_138094,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(sz00,xl)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,xl) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131712,c_5910]) ).
tcf(c_138167,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xl)
| sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_138084,c_3046]) ).
tcf(c_138207,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_72,c_131751]) ).
tcf(c_138208,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_131751]) ).
tcf(c_138216,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138207,c_103]) ).
tcf(c_138240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sz00),xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_70294,c_138208]) ).
tcf(c_138241,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_11984,c_138208]) ).
tcf(c_138243,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_108,c_138208]) ).
tcf(c_138244,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_2465,c_138208]) ).
tcf(c_138247,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_2472,c_138208]) ).
tcf(c_138249,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xq)) ),
inference(superposition,[status(thm)],[c_2476,c_138208]) ).
tcf(c_138253,plain,
( sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn))) ),
inference(superposition,[status(thm)],[c_3044,c_138208]) ).
tcf(c_138255,plain,
( sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq))) ),
inference(superposition,[status(thm)],[c_3040,c_138208]) ).
tcf(c_138265,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_105387,c_138208]) ).
tcf(c_138276,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_42808,c_138208]) ).
tcf(c_138279,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))) ),
inference(superposition,[status(thm)],[c_62808,c_138208]) ).
tcf(c_138280,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))) ),
inference(superposition,[status(thm)],[c_69132,c_138208]) ).
tcf(c_138282,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_71719,c_138208]) ).
tcf(c_138283,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_81493,c_138208]) ).
tcf(c_138284,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xq))) ),
inference(superposition,[status(thm)],[c_81798,c_138208]) ).
tcf(c_138286,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110555,c_138208]) ).
tcf(c_138287,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xq,xq))) ),
inference(superposition,[status(thm)],[c_110669,c_138208]) ).
tcf(c_138288,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138249,c_2476]) ).
tcf(c_138289,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138288,c_62]) ).
tcf(c_138295,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138247,c_2472]) ).
tcf(c_138296,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138295,c_51]) ).
tcf(c_138302,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138244,c_2465]) ).
tcf(c_138303,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138302,c_103,c_2614]) ).
tcf(c_138308,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138243,c_103]) ).
tcf(c_138316,plain,
( sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(light_normalisation,[status(thm)],[c_138255,c_3040]) ).
tcf(c_138317,plain,
( sdtlseqdt0(sK2(sz00,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138316,c_62]) ).
tcf(c_138324,plain,
( sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(light_normalisation,[status(thm)],[c_138253,c_3044]) ).
tcf(c_138325,plain,
( sdtlseqdt0(sK2(sz00,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138324,c_51]) ).
tcf(c_138333,plain,
! [X0: $i] :
( sdtlseqdt0(xq,xp)
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0)) ),
inference(light_normalisation,[status(thm)],[c_138240,c_2464]) ).
tcf(c_138334,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xq,xq))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_138287,c_110669]) ).
tcf(c_138335,plain,
( sdtlseqdt0(sdtpldt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138334,c_110686]) ).
tcf(c_138341,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_138286,c_110555]) ).
tcf(c_138342,plain,
( sdtlseqdt0(sdtasdt0(xq,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xq,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138341,c_110577]) ).
tcf(c_138348,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_138284,c_81798]) ).
tcf(c_138349,plain,
( sdtlseqdt0(sdtasdt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138348,c_81668]) ).
tcf(c_138355,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(light_normalisation,[status(thm)],[c_138283,c_81493]) ).
tcf(c_138356,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138355,c_81151]) ).
tcf(c_138362,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xq))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_138282,c_71719]) ).
tcf(c_138363,plain,
( sdtlseqdt0(sdtasdt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138362,c_71595]) ).
tcf(c_138369,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(light_normalisation,[status(thm)],[c_138280,c_69132]) ).
tcf(c_138370,plain,
( sdtlseqdt0(sdtasdt0(xm,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xm,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138369,c_68944]) ).
tcf(c_138376,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(light_normalisation,[status(thm)],[c_138279,c_62808]) ).
tcf(c_138377,plain,
( sdtlseqdt0(sdtasdt0(xl,xn),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xl,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138376,c_62562]) ).
tcf(c_138383,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,xq))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_138276,c_42808]) ).
tcf(c_138384,plain,
( sdtlseqdt0(sdtpldt0(xn,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xn,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138383,c_42683]) ).
tcf(c_138390,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xp,xq))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_138265,c_105387]) ).
tcf(c_138391,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xp,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtasdt0(xp,xq),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138390,c_104482]) ).
tcf(c_138397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_70]) ).
tcf(c_138398,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_75560]) ).
tcf(c_138399,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_75392]) ).
tcf(c_138400,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29577,c_24035]) ).
tcf(c_138401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29577,c_17825]) ).
tcf(c_138402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29577,c_17392]) ).
tcf(c_138403,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29577,c_14477]) ).
tcf(c_138404,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_5155]) ).
tcf(c_138407,plain,
( ( xl = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) != sz00 ) ),
inference(superposition,[status(thm)],[c_29577,c_75]) ).
tcf(c_138409,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_145]) ).
tcf(c_138410,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_84]) ).
tcf(c_138411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(superposition,[status(thm)],[c_29577,c_70]) ).
tcf(c_138412,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xl,sdtpldt0(xm,xq)) ) ),
inference(superposition,[status(thm)],[c_29577,c_76]) ).
tcf(c_138413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_68]) ).
tcf(c_138414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_68]) ).
tcf(c_138415,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_29577,c_98]) ).
tcf(c_138416,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_29577,c_77]) ).
tcf(c_138417,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_138410,c_49,c_29400]) ).
tcf(c_138418,plain,
sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_138409,c_49,c_29400]) ).
tcf(c_138419,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138404,c_49,c_29400]) ).
tcf(c_138422,plain,
sdtpldt0(xl,sdtpldt0(xm,xq)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_138407,c_58,c_49,c_29400]) ).
tcf(c_138423,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) != sdtpldt0(X0,xl) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138416,c_49,c_29400]) ).
tcf(c_138427,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xl)
| ~ doDivides0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138415,c_49,c_29400]) ).
tcf(c_138432,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xq),X0) != sdtpldt0(xl,sdtpldt0(xm,xq)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138412,c_49,c_29400]) ).
tcf(c_138436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138414,c_49,c_29400]) ).
tcf(c_138441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(sdtpldt0(xm,xq),X0))
| ( X0 = xl )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138413,c_49,c_29400]) ).
tcf(c_138446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(X0,xl))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138411,c_49,c_29400]) ).
tcf(c_138451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138397,c_49,c_29400]) ).
tcf(c_138456,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138399,c_49,c_29400]) ).
tcf(c_138461,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138403,c_49,c_29400]) ).
tcf(c_138466,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138400,c_49,c_29400]) ).
tcf(c_138472,plain,
( sdtlseqdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xm,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138398,c_49,c_29400]) ).
tcf(c_138478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xq),X0),sK2(xq,xp))
| ( X0 = xl )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138402,c_49,c_29400]) ).
tcf(c_138486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xl),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138401,c_49,c_29400]) ).
tcf(c_138501,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_138417,c_112581]) ).
tcf(c_138502,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xq))),xl) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_138417,c_3370]) ).
tcf(c_138503,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK2(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_138417,c_3010]) ).
tcf(c_138504,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2785]) ).
tcf(c_138505,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xq) = sdtasdt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2781]) ).
tcf(c_138506,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xp) = sdtasdt0(xp,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2780]) ).
tcf(c_138507,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),sK2(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_138417,c_27869]) ).
tcf(c_138508,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2777]) ).
tcf(c_138509,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK2(sdtpldt0(xl,sdtpldt0(xm,xq)),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_138417,c_13871]) ).
tcf(c_138510,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2776]) ).
tcf(c_138511,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2775]) ).
tcf(c_138512,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2709]) ).
tcf(c_138513,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xq) = sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2705]) ).
tcf(c_138514,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xp) = sdtpldt0(xp,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2704]) ).
tcf(c_138515,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2701]) ).
tcf(c_138516,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2700]) ).
tcf(c_138517,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xq))),
inference(superposition,[status(thm)],[c_138417,c_2699]) ).
tcf(c_138518,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xq))),sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xl,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138417,c_79]) ).
tcf(c_138519,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X1),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138417,c_78]) ).
tcf(c_138520,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X1),X0) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138417,c_95]) ).
tcf(c_138521,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X1),X0) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138417,c_82]) ).
tcf(c_138522,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sdtpldt0(xl,sdtpldt0(xm,xq))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138417,c_152]) ).
tcf(c_138523,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138417,c_96]) ).
tcf(c_138524,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138417,c_83]) ).
tcf(c_138525,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))) = sz00,
inference(superposition,[status(thm)],[c_138417,c_94]) ).
tcf(c_138526,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_138417,c_93]) ).
tcf(c_138527,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_138417,c_81]) ).
tcf(c_138528,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(superposition,[status(thm)],[c_138417,c_80]) ).
tcf(c_138601,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138418,c_109]) ).
tcf(c_138602,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138418,c_25649]) ).
tcf(c_138603,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138418,c_12741]) ).
tcf(c_138605,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_138418,c_8700]) ).
tcf(c_138607,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(superposition,[status(thm)],[c_138418,c_110]) ).
tcf(c_138608,plain,
( ( sdtpldt0(sdtpldt0(xm,xq),sK2(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138418,c_73]) ).
tcf(c_138609,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138601,c_29400,c_138417]) ).
tcf(c_138613,plain,
sdtpldt0(sdtpldt0(xm,xq),sK2(sdtpldt0(xm,xq),sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_138608,c_29400,c_138417]) ).
tcf(c_138614,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sdtpldt0(xm,xq) )
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtpldt0(xm,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138607,c_29400,c_138417]) ).
tcf(c_138618,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sdtpldt0(xl,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138603,c_29400,c_138417]) ).
tcf(c_138623,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(light_normalisation,[status(thm)],[c_138602,c_138527]) ).
tcf(c_138624,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xm,xq)))
| sdtlseqdt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138623,c_29400,c_138417]) ).
tcf(c_138631,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138525,c_89]) ).
tcf(c_138636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138525,c_18982]) ).
tcf(c_138638,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138525,c_15630]) ).
tcf(c_138648,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_138525,c_92]) ).
tcf(c_138649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138525,c_89]) ).
tcf(c_138650,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138648,c_138422,c_103,c_138417]) ).
tcf(c_138656,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138631,c_138422,c_103,c_138417]) ).
tcf(c_138661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xq))),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138636,c_138422,c_103,c_2614,c_138417]) ).
tcf(c_138674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,sz00)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138526,c_18291]) ).
tcf(c_138677,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_138526,c_91]) ).
tcf(c_138680,plain,
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138526,c_142]) ).
tcf(c_138682,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138526,c_87]) ).
tcf(c_138684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138526,c_87]) ).
tcf(c_138687,plain,
doDivides0(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_138680,c_103,c_138417]) ).
tcf(c_138688,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138677,c_138422,c_103,c_138417]) ).
tcf(c_138693,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138682,c_138422,c_103,c_138417]) ).
tcf(c_138698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0),sK2(xq,xp))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138674,c_138422,c_103,c_2614,c_138417]) ).
tcf(c_138705,plain,
( ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138687,c_106]) ).
tcf(c_138706,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138687,c_99]) ).
tcf(c_138707,plain,
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK3(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_138687,c_102]) ).
tcf(c_138708,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xl,sdtpldt0(xm,xq)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138706,c_103,c_138417]) ).
tcf(c_138712,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK3(sdtpldt0(xl,sdtpldt0(xm,xq)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_138707,c_103,c_138417]) ).
tcf(c_138713,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sdtsldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xq)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_138705,c_138422,c_103,c_138417]) ).
tcf(c_138734,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131708,c_8700]) ).
tcf(c_138737,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ sdtlseqdt0(sK2(sz00,xp),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_131708,c_73]) ).
tcf(c_138768,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X1,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_109]) ).
tcf(c_138769,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_25649]) ).
tcf(c_138770,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))) = sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_12741]) ).
tcf(c_138771,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_11962]) ).
tcf(c_138772,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_131741,c_8700]) ).
tcf(c_138773,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_3979]) ).
tcf(c_138774,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)),sK2(xq,xp)) ),
inference(superposition,[status(thm)],[c_131741,c_110]) ).
tcf(c_138775,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))) = sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_73]) ).
tcf(c_138776,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))) = sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_12745]) ).
tcf(c_138777,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_12182]) ).
tcf(c_138778,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_131741,c_8702]) ).
tcf(c_138779,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) = sK2(xq,xp) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_5910]) ).
tcf(c_138780,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_47638]) ).
tcf(c_138781,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))) ),
inference(superposition,[status(thm)],[c_131741,c_45030]) ).
tcf(c_138927,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_72,c_131748]) ).
tcf(c_138928,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_131682,c_131748]) ).
tcf(c_138936,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sz00,sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_138927,c_103]) ).
tcf(c_138962,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sK2(xq,xp),X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_145,c_138928]) ).
tcf(c_138963,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(xq,xp),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(sK2(xq,xp),X0))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(xq,xp),X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(sK2(xq,xp),X0)),sz00) ),
inference(superposition,[status(thm)],[c_85,c_138928]) ).
tcf(c_138967,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_4095,c_138928]) ).
tcf(c_138969,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xq))
| ~ sdtlseqdt0(sdtpldt0(sz00,xq),sz00) ),
inference(superposition,[status(thm)],[c_12915,c_138928]) ).
tcf(c_138970,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_4216,c_138928]) ).
tcf(c_138971,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_4095,c_138928]) ).
tcf(c_138972,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_3970,c_138928]) ).
tcf(c_138973,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_3944,c_138928]) ).
tcf(c_138974,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_65245,c_138928]) ).
tcf(c_138975,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_65304,c_138928]) ).
tcf(c_138976,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_14112,c_138928]) ).
tcf(c_138977,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ sdtlseqdt0(sdtpldt0(sz00,xm),sz00) ),
inference(superposition,[status(thm)],[c_13690,c_138928]) ).
tcf(c_138978,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ~ sdtlseqdt0(sdtpldt0(sz00,xl),sz00) ),
inference(superposition,[status(thm)],[c_13918,c_138928]) ).
tcf(c_138979,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ sdtlseqdt0(sdtpldt0(sz00,xn),sz00) ),
inference(superposition,[status(thm)],[c_13570,c_138928]) ).
tcf(c_138980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_6346,c_138928]) ).
tcf(c_138988,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_131696,c_138928]) ).
tcf(c_138989,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,xp))
| ~ sdtlseqdt0(sdtpldt0(sz00,xp),sz00) ),
inference(superposition,[status(thm)],[c_6345,c_138928]) ).
tcf(c_138991,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_21787,c_138928]) ).
tcf(c_138992,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_131758,c_138928]) ).
tcf(c_138993,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_131753,c_138928]) ).
tcf(c_138994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_97431,c_138928]) ).
tcf(c_138995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_15930,c_138928]) ).
tcf(c_138996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_24215,c_138928]) ).
tcf(c_138997,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,X0))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,X0)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,X0)),sz00) ),
inference(superposition,[status(thm)],[c_15931,c_138928]) ).
tcf(c_139000,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(sz00,sK2(xq,xp)),X0))),sz00) ),
inference(superposition,[status(thm)],[c_34468,c_138928]) ).
tcf(c_139001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sK2(sz00,sK2(xq,xp)),X0))),sz00) ),
inference(superposition,[status(thm)],[c_40181,c_138928]) ).
tcf(c_139002,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_131737,c_138928]) ).
tcf(c_139003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))),sz00) ),
inference(superposition,[status(thm)],[c_40027,c_138928]) ).
tcf(c_139004,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))),sz00) ),
inference(superposition,[status(thm)],[c_50559,c_138928]) ).
tcf(c_139006,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,xm)),sz00) ),
inference(superposition,[status(thm)],[c_73035,c_138928]) ).
tcf(c_139007,plain,
( sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xm) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,xm) )
| ( sdtpldt0(sz00,sK2(xq,xm)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,xm)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xm))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,sK2(xq,xm))),sz00) ),
inference(superposition,[status(thm)],[c_108345,c_138928]) ).
tcf(c_139008,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)) = sK2(sz00,sK2(xq,xp)) )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),X0) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sK2(xq,xp),X0))),sz00) ),
inference(superposition,[status(thm)],[c_131741,c_138928]) ).
tcf(c_139009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,sK2(xq,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,sK2(xq,xp))),sz00) ),
inference(superposition,[status(thm)],[c_131756,c_138928]) ).
tcf(c_139010,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xq)),sz00) ),
inference(superposition,[status(thm)],[c_131703,c_138928]) ).
tcf(c_139011,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xp)),sz00) ),
inference(superposition,[status(thm)],[c_137639,c_138928]) ).
tcf(c_139012,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xn)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xn)),sz00) ),
inference(superposition,[status(thm)],[c_131710,c_138928]) ).
tcf(c_139013,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xm)),sz00) ),
inference(superposition,[status(thm)],[c_131711,c_138928]) ).
tcf(c_139014,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(sz00,xl)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(sz00,xl)),sz00) ),
inference(superposition,[status(thm)],[c_131712,c_138928]) ).
tcf(c_139015,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138979,c_2472]) ).
tcf(c_139016,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xn )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139015,c_51]) ).
tcf(c_139022,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xl )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138978,c_2470]) ).
tcf(c_139023,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138977,c_2471]) ).
tcf(c_139024,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138976,c_2471]) ).
tcf(c_139025,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138975,c_2471]) ).
tcf(c_139026,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138974,c_2471]) ).
tcf(c_139027,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138973,c_2475]) ).
tcf(c_139028,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138970,c_2475]) ).
tcf(c_139029,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138969,c_2476]) ).
tcf(c_139030,plain,
( sdtlseqdt0(sz00,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xq )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139029,c_62]) ).
tcf(c_139052,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(X0,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138971,c_2475]) ).
tcf(c_139053,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sdtpldt0(xq,sK2(xq,sK2(xq,xp))) = sK2(xq,xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138972,c_2475]) ).
tcf(c_139054,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_139011,c_3041]) ).
tcf(c_139055,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xp) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xp)) ),
inference(light_normalisation,[status(thm)],[c_138988,c_2475]) ).
tcf(c_139063,plain,
! [X0: $i] :
( sdtlseqdt0(xq,X0)
| sdtlseqdt0(sdtpldt0(xq,X0),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sK2(sz00,sK2(xq,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,sz00)
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(light_normalisation,[status(thm)],[c_138989,c_2475]) ).
tcf(c_139071,plain,
( sdtlseqdt0(xl,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xl) )
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(xl,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xl))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_139014,c_3046]) ).
tcf(c_139072,plain,
( sdtlseqdt0(xm,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xm) )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_139013,c_3045]) ).
tcf(c_139073,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_139012,c_3044]) ).
tcf(c_139074,plain,
( sdtlseqdt0(xn,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xn) )
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xn))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139073,c_51]) ).
tcf(c_139082,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_139010,c_3040]) ).
tcf(c_139083,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sK2(sz00,xq) )
| ~ sdtlseqdt0(xq,sz00)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sz00,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139082,c_62]) ).
tcf(c_139333,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_72,c_131727]) ).
tcf(c_139334,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(X0,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(X0,sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139333,c_62,c_59,c_2649]) ).
tcf(c_139351,plain,
( ( xl = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xl,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xl,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_49,c_139334]) ).
tcf(c_139352,plain,
( ( xm = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xm,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xm,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_50,c_139334]) ).
tcf(c_139353,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xn,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_51,c_139334]) ).
tcf(c_139354,plain,
( ( sz00 = xp )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xp,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_59,c_139334]) ).
tcf(c_139355,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_62,c_139334]) ).
tcf(c_139356,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(X0,X1),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(X0,X1),sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_84,c_139334]) ).
tcf(c_139357,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(X0,X1) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sK2(X0,X1),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sK2(X0,X1),sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_139334]) ).
tcf(c_139358,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(X0,X1) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(X0,X1),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(X0,X1),sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_97,c_139334]) ).
tcf(c_139359,plain,
! [X0: $i,X1: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK3(X0,X1) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sK3(X0,X1),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sK3(X0,X1),sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_139334]) ).
tcf(c_139361,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtsldt0(X1,X0) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtsldt0(X1,X0),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtsldt0(X1,X0),sK2(sz00,sK2(xq,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_139334]) ).
tcf(c_139362,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_2518,c_139334]) ).
tcf(c_139363,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_110903,c_139334]) ).
tcf(c_139364,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xp,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_58661,c_139334]) ).
tcf(c_139365,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_104482,c_139334]) ).
tcf(c_139366,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_14661,c_139334]) ).
tcf(c_139367,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_14856,c_139334]) ).
tcf(c_139368,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_16905,c_139334]) ).
tcf(c_139369,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_17110,c_139334]) ).
tcf(c_139370,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xq)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_20938,c_139334]) ).
tcf(c_139371,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_21527,c_139334]) ).
tcf(c_139372,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_22296,c_139334]) ).
tcf(c_139373,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_27911,c_139334]) ).
tcf(c_139374,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_28177,c_139334]) ).
tcf(c_139375,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_29400,c_139334]) ).
tcf(c_139376,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_30205,c_139334]) ).
tcf(c_139377,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_110686,c_139334]) ).
tcf(c_139378,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_41576,c_139334]) ).
tcf(c_139379,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_42683,c_139334]) ).
tcf(c_139380,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_54334,c_139334]) ).
tcf(c_139381,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_60396,c_139334]) ).
tcf(c_139382,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_61931,c_139334]) ).
tcf(c_139383,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_62562,c_139334]) ).
tcf(c_139384,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_68298,c_139334]) ).
tcf(c_139385,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_68944,c_139334]) ).
tcf(c_139386,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_71319,c_139334]) ).
tcf(c_139387,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xm,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_71595,c_139334]) ).
tcf(c_139388,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xn,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_81151,c_139334]) ).
tcf(c_139389,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xn,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_81668,c_139334]) ).
tcf(c_139390,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_110996,c_139334]) ).
tcf(c_139391,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xq)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_101594,c_139334]) ).
tcf(c_139392,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_103135,c_139334]) ).
tcf(c_139393,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_103771,c_139334]) ).
tcf(c_139394,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xq,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_110577,c_139334]) ).
tcf(c_139395,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xp)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_107884,c_139334]) ).
tcf(c_139396,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xq)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_108727,c_139334]) ).
tcf(c_139397,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_109342,c_139334]) ).
tcf(c_139398,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_110598,c_139334]) ).
tcf(c_139399,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_110935,c_139334]) ).
tcf(c_139400,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_111184,c_139334]) ).
tcf(c_139401,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_112233,c_139334]) ).
tcf(c_139402,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xp))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_119870,c_139334]) ).
tcf(c_139403,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xp)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_130530,c_139334]) ).
tcf(c_139404,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xp)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_132463,c_139334]) ).
tcf(c_139405,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xq)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_136536,c_139334]) ).
tcf(c_139406,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xq)) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_138417,c_139334]) ).
tcf(c_139416,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xm,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xm,sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139352,c_11841]) ).
tcf(c_139419,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xl,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xl,sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139351,c_58]) ).
tcf(c_139425,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xp,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139390,c_129069]) ).
tcf(c_139437,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xm,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139386,c_134174]) ).
tcf(c_139446,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xl,xm),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139382,c_61937]) ).
tcf(c_139452,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xn,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139378,c_125104]) ).
tcf(c_139458,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139375,c_29405]) ).
tcf(c_139461,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139374,c_28183]) ).
tcf(c_139464,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139369,c_17115]) ).
tcf(c_139467,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139368,c_16911]) ).
tcf(c_139470,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xn),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139367,c_14864]) ).
tcf(c_139473,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,xm),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139366,c_14666]) ).
tcf(c_139479,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xp,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139364,c_129084]) ).
tcf(c_139485,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xl,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139362,c_11843]) ).
tcf(c_139488,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139406,c_138422]) ).
tcf(c_139491,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139405,c_136541]) ).
tcf(c_139494,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139404,c_132468]) ).
tcf(c_139497,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139403,c_130535]) ).
tcf(c_139500,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139396,c_108732]) ).
tcf(c_139503,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139395,c_107889]) ).
tcf(c_139506,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139393,c_103776]) ).
tcf(c_139509,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139392,c_103140]) ).
tcf(c_139512,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139391,c_101599]) ).
tcf(c_139515,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139376,c_30210]) ).
tcf(c_139518,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139373,c_27916]) ).
tcf(c_139521,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139372,c_22301]) ).
tcf(c_139524,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139371,c_21532]) ).
tcf(c_139527,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xq)),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139370,c_20943]) ).
tcf(c_139570,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139384,c_68300]) ).
tcf(c_139573,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139381,c_60398]) ).
tcf(c_139576,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xq))),sK2(sz00,sK2(xq,xp))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_139380,c_54336]) ).
tcf(c_139790,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) = sdtpldt0(xn,sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_139353]) ).
tcf(c_139791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_70]) ).
tcf(c_139793,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_75392]) ).
tcf(c_139794,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_24035]) ).
tcf(c_139795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_17825]) ).
tcf(c_139796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_17392]) ).
tcf(c_139797,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_14477]) ).
tcf(c_139798,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_5155]) ).
tcf(c_139801,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xn,sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139353,c_75]) ).
tcf(c_139802,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xn,sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139353,c_74]) ).
tcf(c_139803,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_145]) ).
tcf(c_139804,plain,
( aNaturalNumber0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_84]) ).
tcf(c_139805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_70]) ).
tcf(c_139806,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xn,sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_139353,c_76]) ).
tcf(c_139807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_139353,c_68]) ).
tcf(c_139808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_68]) ).
tcf(c_139809,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_98]) ).
tcf(c_139810,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) != sdtpldt0(xn,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_139353,c_77]) ).
tcf(c_139811,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_131741]) ).
tcf(c_139812,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_106145]) ).
tcf(c_139813,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_139353,c_90791]) ).
tcf(c_139814,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(xn,sK2(sz00,sK2(xq,xp)))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_90734]) ).
tcf(c_139815,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139353,c_16765]) ).
tcf(c_140103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,sdtpldt0(xm,xq))),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_70]) ).
tcf(c_140117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sK2(xq,sdtpldt0(xm,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_70]) ).
tcf(c_140118,plain,
! [X0: $i] :
( ( sK2(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_29668,c_76]) ).
tcf(c_140119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( sK2(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),X0) ),
inference(superposition,[status(thm)],[c_29668,c_68]) ).
tcf(c_140120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( sK2(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_68]) ).
tcf(c_140121,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_98]) ).
tcf(c_140122,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(X0,sK2(xq,sdtpldt0(xm,xq))) != sdtpldt0(xm,xq) ) ),
inference(superposition,[status(thm)],[c_29668,c_77]) ).
tcf(c_140123,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xq))) = xm )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29668,c_112970]) ).
tcf(c_140124,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtpldt0(xm,xq),X0)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29668,c_111576]) ).
tcf(c_140125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sdtasdt0(sK2(xq,sdtpldt0(xm,xq)),X0))
| ( X0 = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_102402]) ).
tcf(c_140126,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xm)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xm,xq))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xm,xq))),sz00) ),
inference(superposition,[status(thm)],[c_29668,c_99238]) ).
tcf(c_140127,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sK2(sz00,sK2(xq,xp)) = sK2(xq,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xm,xq))))
| ~ sdtlseqdt0(sdtpldt0(sz00,sK2(xq,sdtpldt0(xm,xq))),sz00) ),
inference(superposition,[status(thm)],[c_29668,c_98484]) ).
tcf(c_140128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(X0,sK2(xq,sdtpldt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_70294]) ).
tcf(c_140129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sdtpldt0(sK2(xq,sdtpldt0(xm,xq)),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_75560]) ).
tcf(c_140130,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xm)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_88871]) ).
tcf(c_140131,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sK2(xq,sdtpldt0(xm,xq)))) = sK2(xq,sdtpldt0(xm,xq)) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_12751]) ).
tcf(c_140132,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29668,c_65681]) ).
tcf(c_140134,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),xp)
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_6430]) ).
tcf(c_140135,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xq,sK2(xq,sdtpldt0(xm,xq)))
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_6345]) ).
tcf(c_140136,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(xp,sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xq))))
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_6515]) ).
tcf(c_140138,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xp,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29668,c_28380]) ).
tcf(c_140139,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sz00,sK2(xq,sdtpldt0(xm,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_11906]) ).
tcf(c_140140,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(superposition,[status(thm)],[c_29668,c_8706]) ).
tcf(c_140141,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sK2(xq,xp))
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_6431]) ).
tcf(c_140142,plain,
( sdtlseqdt0(sdtpldt0(xm,xq),xp)
| sdtlseqdt0(sK2(xq,xp),sK2(xq,sdtpldt0(xm,xq)))
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(superposition,[status(thm)],[c_29668,c_6346]) ).
tcf(c_140143,plain,
( ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xm,xq) != xp ) ),
inference(superposition,[status(thm)],[c_29668,c_4453]) ).
tcf(c_140144,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xq)))) ),
inference(superposition,[status(thm)],[c_29668,c_65733]) ).
tcf(c_140145,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00)
| ~ aNaturalNumber0(sdtpldt0(xq,sK2(xq,sdtpldt0(xm,xq)))) ),
inference(superposition,[status(thm)],[c_29668,c_10288]) ).
tcf(c_140150,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(X0,sK2(xq,sdtpldt0(xm,xq))) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140122,c_62]) ).
tcf(c_140155,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ doDivides0(X0,sK2(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140121,c_62]) ).
tcf(c_140161,plain,
! [X0: $i] :
( ( sK2(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ( sdtpldt0(xq,X0) != sdtpldt0(xm,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140118,c_62]) ).
tcf(c_140166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(X0,sK2(xq,sdtpldt0(xm,xq))))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140117,c_62]) ).
tcf(c_140172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xq,sdtpldt0(xm,xq))),sdtpldt0(xm,xq))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140103,c_62]) ).
tcf(c_140188,plain,
( sdtlseqdt0(xp,sdtpldt0(xm,xq))
| sdtlseqdt0(sdtpldt0(xm,xq),xp)
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq))) ),
inference(light_normalisation,[status(thm)],[c_140136,c_29668]) ).
tcf(c_140194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),sdtpldt0(xm,xq))
| ( sK2(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(X0,sK2(xq,sdtpldt0(xm,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140120,c_62]) ).
tcf(c_140200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xq),sdtpldt0(xq,X0))
| ( sK2(xq,sdtpldt0(xm,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140119,c_62]) ).
tcf(c_140285,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,xq) = xm )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(xm,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_140123,c_29668]) ).
tcf(c_140293,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_140145,c_29668]) ).
tcf(c_140294,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140293,c_29400]) ).
tcf(c_140303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xm,xq))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(light_normalisation,[status(thm)],[c_140144,c_29668]) ).
tcf(c_140304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,sdtpldt0(xm,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xq))
| ~ aNaturalNumber0(sK2(xq,sdtpldt0(xm,xq)))
| ~ sdtlseqdt0(sK2(xq,sdtpldt0(xm,xq)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140303,c_29400]) ).
tcf(c_140492,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_83145,c_109]) ).
tcf(c_140493,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_83145,c_25649]) ).
tcf(c_140498,plain,
( ( sdtasdt0(xl,xm) = xq )
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xq) ),
inference(superposition,[status(thm)],[c_83145,c_110]) ).
tcf(c_140499,plain,
( ( sdtasdt0(xl,xm) = xm )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_83145,c_73]) ).
tcf(c_140500,plain,
( ( sdtasdt0(xl,xm) = xm )
| ( sdtpldt0(xq,sK2(xq,sdtasdt0(xl,xm))) = sdtasdt0(xl,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140499,c_62,c_61931]) ).
tcf(c_140503,plain,
( ( sdtasdt0(xl,xm) = xq )
| ( sdtasdt0(xl,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xm),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140498,c_62,c_61931]) ).
tcf(c_140507,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xm))
| ( sdtasdt0(xl,xm) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140492,c_62,c_61931]) ).
tcf(c_140512,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_140493,c_62097]) ).
tcf(c_140513,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xm))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xm) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xm) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140512,c_62,c_61931]) ).
tcf(c_140520,plain,
sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xq))) != sz00,
inference(light_normalisation,[status(thm)],[c_88947,c_110513]) ).
tcf(c_140521,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(light_normalisation,[status(thm)],[c_92609,c_110513]) ).
tcf(c_140523,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_140521,c_25649]) ).
tcf(c_140527,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_140521,c_3979]) ).
tcf(c_140530,plain,
( sdtlseqdt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140527,c_30205]) ).
tcf(c_140533,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(light_normalisation,[status(thm)],[c_140523,c_30333]) ).
tcf(c_140534,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xl,sdtpldt0(xl,xq)))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140533,c_30205]) ).
tcf(c_140546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_112664,c_109]) ).
tcf(c_140547,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_112664,c_25649]) ).
tcf(c_140552,plain,
( ( sdtpldt0(xp,xp) = xq )
| ( sdtpldt0(xp,xp) = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,xp),xq) ),
inference(superposition,[status(thm)],[c_112664,c_110]) ).
tcf(c_140553,plain,
( ( sdtpldt0(xp,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_112664,c_73]) ).
tcf(c_140554,plain,
( ( sdtpldt0(xp,xp) = xp )
| ( sdtpldt0(xq,sK2(xq,sdtpldt0(xp,xp))) = sdtpldt0(xp,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140553,c_62,c_110996]) ).
tcf(c_140557,plain,
( ( sdtpldt0(xp,xp) = xq )
| ( sdtpldt0(xp,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xp,xp),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140552,c_62,c_110996]) ).
tcf(c_140561,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xp))
| ( sdtpldt0(xp,xp) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140546,c_62,c_110996]) ).
tcf(c_140566,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xp,xp))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_140547,c_110983]) ).
tcf(c_140567,plain,
( sdtlseqdt0(xq,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xp,xp) = xp )
| ( sK2(sz00,sK2(xq,xp)) = sdtpldt0(xp,xp) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140566,c_62,c_110996]) ).
tcf(c_140580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))),sdtpldt0(xn,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_70]) ).
tcf(c_140582,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_75392]) ).
tcf(c_140583,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_24035]) ).
tcf(c_140584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))),sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_17825]) ).
tcf(c_140585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_17392]) ).
tcf(c_140586,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_14477]) ).
tcf(c_140587,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xn,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_5155]) ).
tcf(c_140590,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ( sdtpldt0(xn,sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_139790,c_75]) ).
tcf(c_140591,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ( sdtpldt0(xn,sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_139790,c_74]) ).
tcf(c_140592,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_145]) ).
tcf(c_140593,plain,
( aNaturalNumber0(sdtpldt0(xn,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_84]) ).
tcf(c_140594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_70]) ).
tcf(c_140595,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ( sdtpldt0(sK2(xq,xp),X0) != sdtpldt0(xn,sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_139790,c_76]) ).
tcf(c_140596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_139790,c_68]) ).
tcf(c_140597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(xn,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_68]) ).
tcf(c_140598,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_98]) ).
tcf(c_140599,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) != sdtpldt0(xn,sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_139790,c_77]) ).
tcf(c_140600,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xn,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_131741]) ).
tcf(c_140601,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sK2(xq,xp)))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_106145]) ).
tcf(c_140602,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xn,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_139790,c_90791]) ).
tcf(c_140603,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(xn,sK2(xq,xp))))
| ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_90734]) ).
tcf(c_140604,plain,
( ( xn = sz00 )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xn,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_139790,c_16765]) ).
tcf(c_140763,plain,
( ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xp,sK2(sz00,sK2(xq,xp))) )
| ( sK2(xq,xp) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_139354,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_3212,c_7313,c_139354]) ).
tcf(c_140764,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sdtpldt0(xp,sK2(sz00,sK2(xq,xp))) ) ),
inference(renaming,[status(thm)],[c_140763]) ).
tcf(c_140769,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) = sdtpldt0(xp,sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_140764]) ).
tcf(c_140770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_70]) ).
tcf(c_140772,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_75392]) ).
tcf(c_140773,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_24035]) ).
tcf(c_140774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_17825]) ).
tcf(c_140775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_17392]) ).
tcf(c_140776,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_14477]) ).
tcf(c_140777,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_5155]) ).
tcf(c_140780,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xp,sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_140764,c_75]) ).
tcf(c_140781,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xp,sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_140764,c_74]) ).
tcf(c_140782,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_145]) ).
tcf(c_140783,plain,
( aNaturalNumber0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_84]) ).
tcf(c_140784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_70]) ).
tcf(c_140785,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xp,sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_140764,c_76]) ).
tcf(c_140786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_140764,c_68]) ).
tcf(c_140787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_68]) ).
tcf(c_140788,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_98]) ).
tcf(c_140789,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) != sdtpldt0(xp,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_140764,c_77]) ).
tcf(c_140790,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_131741]) ).
tcf(c_140791,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_106145]) ).
tcf(c_140792,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_140764,c_90791]) ).
tcf(c_140793,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(xp,sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_90734]) ).
tcf(c_140794,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_140764,c_16765]) ).
tcf(c_141022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))),sdtpldt0(xp,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_70]) ).
tcf(c_141024,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_75392]) ).
tcf(c_141025,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_24035]) ).
tcf(c_141026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_17825]) ).
tcf(c_141027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_17392]) ).
tcf(c_141028,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_14477]) ).
tcf(c_141029,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xp,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_5155]) ).
tcf(c_141032,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ( sdtpldt0(xp,sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_140769,c_75]) ).
tcf(c_141033,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ( sdtpldt0(xp,sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_140769,c_74]) ).
tcf(c_141034,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_145]) ).
tcf(c_141035,plain,
( aNaturalNumber0(sdtpldt0(xp,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_84]) ).
tcf(c_141036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_70]) ).
tcf(c_141037,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ( sdtpldt0(sK2(xq,xp),X0) != sdtpldt0(xp,sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_140769,c_76]) ).
tcf(c_141038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_140769,c_68]) ).
tcf(c_141039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(xp,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_68]) ).
tcf(c_141040,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_98]) ).
tcf(c_141041,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) != sdtpldt0(xp,sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_140769,c_77]) ).
tcf(c_141042,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xp,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_131741]) ).
tcf(c_141043,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_106145]) ).
tcf(c_141044,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xp,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_140769,c_90791]) ).
tcf(c_141045,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(xp,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_90734]) ).
tcf(c_141046,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xp,sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xp,sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_140769,c_16765]) ).
tcf(c_141226,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(xq,xp)))) = sdtpldt0(xq,sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_139355]) ).
tcf(c_141227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_70]) ).
tcf(c_141229,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_75392]) ).
tcf(c_141230,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_24035]) ).
tcf(c_141231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_17825]) ).
tcf(c_141232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_17392]) ).
tcf(c_141233,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_14477]) ).
tcf(c_141234,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_5155]) ).
tcf(c_141237,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139355,c_75]) ).
tcf(c_141238,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139355,c_74]) ).
tcf(c_141239,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_145]) ).
tcf(c_141240,plain,
( aNaturalNumber0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_84]) ).
tcf(c_141241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_70]) ).
tcf(c_141242,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_139355,c_76]) ).
tcf(c_141243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_139355,c_68]) ).
tcf(c_141244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_68]) ).
tcf(c_141245,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_98]) ).
tcf(c_141246,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) != sdtpldt0(xq,sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_139355,c_77]) ).
tcf(c_141247,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_131741]) ).
tcf(c_141248,plain,
( sdtlseqdt0(sz00,sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_106145]) ).
tcf(c_141249,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_139355,c_90791]) ).
tcf(c_141250,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(xq,sK2(sz00,sK2(xq,xp)))))
| ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_90734]) ).
tcf(c_141251,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(xq,sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139355,c_16765]) ).
tcf(c_141252,plain,
( ( sz00 = xq )
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),xp)) = xp ) ),
inference(light_normalisation,[status(thm)],[c_141226,c_3039]) ).
tcf(c_141414,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(global_subsumption_just,[status(thm)],[c_139363,c_103,c_62,c_59,c_66,c_112,c_114,c_125,c_2615,c_2889,c_3070,c_6493,c_139363]) ).
tcf(c_141420,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) = sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_141414]) ).
tcf(c_141421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_70]) ).
tcf(c_141423,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_75392]) ).
tcf(c_141424,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_24035]) ).
tcf(c_141425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_17825]) ).
tcf(c_141426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_17392]) ).
tcf(c_141427,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_14477]) ).
tcf(c_141428,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_5155]) ).
tcf(c_141431,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_141414,c_75]) ).
tcf(c_141432,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_141414,c_74]) ).
tcf(c_141433,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_145]) ).
tcf(c_141434,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_84]) ).
tcf(c_141435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_70]) ).
tcf(c_141436,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_141414,c_76]) ).
tcf(c_141437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_141414,c_68]) ).
tcf(c_141438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_68]) ).
tcf(c_141439,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_98]) ).
tcf(c_141440,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) != sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_141414,c_77]) ).
tcf(c_141441,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_131741]) ).
tcf(c_141442,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_106145]) ).
tcf(c_141443,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_141414,c_90791]) ).
tcf(c_141444,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_90734]) ).
tcf(c_141445,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_141414,c_16765]) ).
tcf(c_141617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_70]) ).
tcf(c_141619,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_75392]) ).
tcf(c_141620,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_24035]) ).
tcf(c_141621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_17825]) ).
tcf(c_141622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_17392]) ).
tcf(c_141623,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_14477]) ).
tcf(c_141624,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_5155]) ).
tcf(c_141627,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_141420,c_75]) ).
tcf(c_141628,plain,
( ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_141420,c_74]) ).
tcf(c_141629,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_145]) ).
tcf(c_141630,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_84]) ).
tcf(c_141631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_70]) ).
tcf(c_141632,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_141420,c_76]) ).
tcf(c_141633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_141420,c_68]) ).
tcf(c_141634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_68]) ).
tcf(c_141635,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_98]) ).
tcf(c_141636,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) != sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_141420,c_77]) ).
tcf(c_141637,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_131741]) ).
tcf(c_141638,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_106145]) ).
tcf(c_141639,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_141420,c_90791]) ).
tcf(c_141640,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_90734]) ).
tcf(c_141641,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xp),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141420,c_16765]) ).
tcf(c_141832,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) = sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_139365]) ).
tcf(c_141833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_70]) ).
tcf(c_141835,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_75392]) ).
tcf(c_141836,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_24035]) ).
tcf(c_141837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_17825]) ).
tcf(c_141838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_17392]) ).
tcf(c_141839,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_14477]) ).
tcf(c_141840,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_5155]) ).
tcf(c_141843,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139365,c_75]) ).
tcf(c_141844,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139365,c_74]) ).
tcf(c_141845,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_145]) ).
tcf(c_141846,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_84]) ).
tcf(c_141847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_70]) ).
tcf(c_141848,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_139365,c_76]) ).
tcf(c_141849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_139365,c_68]) ).
tcf(c_141850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_68]) ).
tcf(c_141851,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_98]) ).
tcf(c_141852,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) != sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_139365,c_77]) ).
tcf(c_141853,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_131741]) ).
tcf(c_141854,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_106145]) ).
tcf(c_141855,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_139365,c_90791]) ).
tcf(c_141856,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_90734]) ).
tcf(c_141857,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139365,c_16765]) ).
tcf(c_142025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_70]) ).
tcf(c_142027,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_75392]) ).
tcf(c_142028,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_24035]) ).
tcf(c_142029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_17825]) ).
tcf(c_142030,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_17392]) ).
tcf(c_142031,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_14477]) ).
tcf(c_142032,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_5155]) ).
tcf(c_142035,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_141832,c_75]) ).
tcf(c_142036,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_141832,c_74]) ).
tcf(c_142037,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_145]) ).
tcf(c_142038,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_84]) ).
tcf(c_142039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_70]) ).
tcf(c_142040,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_141832,c_76]) ).
tcf(c_142041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_141832,c_68]) ).
tcf(c_142042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_68]) ).
tcf(c_142043,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_98]) ).
tcf(c_142044,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) != sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_141832,c_77]) ).
tcf(c_142045,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_131741]) ).
tcf(c_142046,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_106145]) ).
tcf(c_142047,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_141832,c_90791]) ).
tcf(c_142048,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_90734]) ).
tcf(c_142049,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xp,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xp,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_141832,c_16765]) ).
tcf(c_142258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_29744,c_70]) ).
tcf(c_142272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(xn,sdtasdt0(xl,xq))))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_29744,c_70]) ).
tcf(c_142273,plain,
! [X0: $i] :
( ( sK2(xn,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ( sdtpldt0(xn,X0) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_29744,c_76]) ).
tcf(c_142274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xn,X0))
| ( sK2(xn,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xn,sdtasdt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_29744,c_68]) ).
tcf(c_142275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xl,xq))
| ( sK2(xn,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xn,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_29744,c_68]) ).
tcf(c_142276,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(xn,sdtasdt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_29744,c_98]) ).
tcf(c_142277,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xn,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(superposition,[status(thm)],[c_29744,c_77]) ).
tcf(c_142278,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ( sdtpldt0(X0,sK2(xn,sdtasdt0(xl,xq))) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142277,c_51]) ).
tcf(c_142283,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ~ doDivides0(X0,sK2(xn,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142276,c_51]) ).
tcf(c_142289,plain,
! [X0: $i] :
( ( sK2(xn,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ( sdtpldt0(xn,X0) != sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142273,c_51]) ).
tcf(c_142294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(X0,sK2(xn,sdtasdt0(xl,xq))))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142272,c_51]) ).
tcf(c_142300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(xn,sdtasdt0(xl,xq))),sdtasdt0(xl,xq))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142258,c_51]) ).
tcf(c_142306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xl,xq))
| ( sK2(xn,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(X0,sK2(xn,sdtasdt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142275,c_51]) ).
tcf(c_142312,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xl,xq),sdtpldt0(xn,X0))
| ( sK2(xn,sdtasdt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xn,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(xn,sdtasdt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142274,c_51]) ).
tcf(c_142350,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xp))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xp)),sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xp)) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xp))) ),
inference(superposition,[status(thm)],[c_129821,c_25649]) ).
tcf(c_142369,plain,
( sdtlseqdt0(xp,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_65304,c_3316]) ).
tcf(c_142370,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_14112,c_3316]) ).
tcf(c_142372,plain,
( sdtlseqdt0(xl,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142370,c_2518]) ).
tcf(c_142375,plain,
( sdtlseqdt0(xp,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142369,c_2518]) ).
tcf(c_142382,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_119016,c_109]) ).
tcf(c_142383,plain,
( sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,xm))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_119016,c_25649]) ).
tcf(c_142388,plain,
( ( xm = xn )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_119016,c_110]) ).
tcf(c_142389,plain,
( ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ( sdtpldt0(xn,sK2(xn,xm)) = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_119016,c_73]) ).
tcf(c_142390,plain,
( ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ( sdtpldt0(xn,sK2(xn,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142389,c_51,c_50]) ).
tcf(c_142393,plain,
( ( xm = xn )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ sdtlseqdt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142388,c_51,c_50]) ).
tcf(c_142397,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142382,c_51,c_50]) ).
tcf(c_142402,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_142383,c_2471]) ).
tcf(c_142403,plain,
( sdtlseqdt0(sK2(xq,xp),xm)
| sdtlseqdt0(xn,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = xm )
| ( sdtpldt0(xq,sK2(xq,xn)) = xn )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142402,c_51,c_50]) ).
tcf(c_142414,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_142372,c_109]) ).
tcf(c_142415,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_142372,c_25649]) ).
tcf(c_142420,plain,
( ( sdtasdt0(xl,xq) = xm )
| ( sdtasdt0(xl,xq) = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xl) ),
inference(superposition,[status(thm)],[c_142372,c_110]) ).
tcf(c_142421,plain,
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(xl,sK2(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_142372,c_73]) ).
tcf(c_142422,plain,
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(xl,sK2(xl,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142421,c_49,c_2518]) ).
tcf(c_142425,plain,
( ( sdtasdt0(xl,xq) = xm )
| ( sdtasdt0(xl,xq) = xl )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142420,c_49,c_2518]) ).
tcf(c_142429,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xl) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142414,c_49,c_2518]) ).
tcf(c_142434,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_142415,c_2537]) ).
tcf(c_142435,plain,
( sdtlseqdt0(xl,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142434,c_49,c_2518]) ).
tcf(c_142446,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_142375,c_109]) ).
tcf(c_142447,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_142375,c_25649]) ).
tcf(c_142452,plain,
( ( sdtasdt0(xl,xq) = xp )
| ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xp) ),
inference(superposition,[status(thm)],[c_142375,c_110]) ).
tcf(c_142453,plain,
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(xp,sK2(xp,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_142375,c_73]) ).
tcf(c_142455,plain,
( ( sdtasdt0(xl,xq) = xm )
| ( sdtpldt0(xp,sK2(xp,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142453,c_59,c_2518]) ).
tcf(c_142458,plain,
( ( sdtasdt0(xl,xq) = xp )
| ( sdtasdt0(xl,xq) = xm )
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142452,c_59,c_2518]) ).
tcf(c_142462,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ( sdtasdt0(xl,xq) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142446,c_59,c_2518]) ).
tcf(c_142467,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_142447,c_2537]) ).
tcf(c_142468,plain,
( sdtlseqdt0(xp,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xq) = xm )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142467,c_59,c_2518]) ).
tcf(c_142497,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) = sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_139377]) ).
tcf(c_142498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_70]) ).
tcf(c_142500,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_75392]) ).
tcf(c_142501,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_24035]) ).
tcf(c_142502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_17825]) ).
tcf(c_142503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_17392]) ).
tcf(c_142504,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_14477]) ).
tcf(c_142505,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_5155]) ).
tcf(c_142508,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139377,c_75]) ).
tcf(c_142509,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139377,c_74]) ).
tcf(c_142510,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_145]) ).
tcf(c_142511,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_84]) ).
tcf(c_142512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_70]) ).
tcf(c_142513,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_139377,c_76]) ).
tcf(c_142514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_139377,c_68]) ).
tcf(c_142515,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_68]) ).
tcf(c_142516,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_98]) ).
tcf(c_142517,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) != sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_139377,c_77]) ).
tcf(c_142518,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_131741]) ).
tcf(c_142519,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_106145]) ).
tcf(c_142520,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_139377,c_90791]) ).
tcf(c_142521,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_90734]) ).
tcf(c_142522,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139377,c_16765]) ).
tcf(c_142851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_70]) ).
tcf(c_142853,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_75392]) ).
tcf(c_142854,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_24035]) ).
tcf(c_142855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_17825]) ).
tcf(c_142856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_17392]) ).
tcf(c_142857,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_14477]) ).
tcf(c_142858,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_5155]) ).
tcf(c_142861,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_142497,c_75]) ).
tcf(c_142862,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_142497,c_74]) ).
tcf(c_142863,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_145]) ).
tcf(c_142864,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_84]) ).
tcf(c_142865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_70]) ).
tcf(c_142866,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_142497,c_76]) ).
tcf(c_142867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_142497,c_68]) ).
tcf(c_142868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_68]) ).
tcf(c_142869,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_98]) ).
tcf(c_142870,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) != sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_142497,c_77]) ).
tcf(c_142871,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_131741]) ).
tcf(c_142872,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_106145]) ).
tcf(c_142873,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_142497,c_90791]) ).
tcf(c_142874,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_90734]) ).
tcf(c_142875,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xq,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xq,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_142497,c_16765]) ).
tcf(c_143110,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) = sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_139379]) ).
tcf(c_143111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_70]) ).
tcf(c_143113,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_75392]) ).
tcf(c_143114,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_24035]) ).
tcf(c_143115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_17825]) ).
tcf(c_143116,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_17392]) ).
tcf(c_143117,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_14477]) ).
tcf(c_143118,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_5155]) ).
tcf(c_143121,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139379,c_75]) ).
tcf(c_143122,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139379,c_74]) ).
tcf(c_143123,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_145]) ).
tcf(c_143124,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_84]) ).
tcf(c_143125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_70]) ).
tcf(c_143126,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_139379,c_76]) ).
tcf(c_143127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_139379,c_68]) ).
tcf(c_143128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_68]) ).
tcf(c_143129,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_98]) ).
tcf(c_143130,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) != sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_139379,c_77]) ).
tcf(c_143131,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_131741]) ).
tcf(c_143132,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_106145]) ).
tcf(c_143133,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_139379,c_90791]) ).
tcf(c_143134,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_90734]) ).
tcf(c_143135,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139379,c_16765]) ).
tcf(c_143374,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_70]) ).
tcf(c_143376,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_75392]) ).
tcf(c_143377,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_24035]) ).
tcf(c_143378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_17825]) ).
tcf(c_143379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_17392]) ).
tcf(c_143380,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_14477]) ).
tcf(c_143381,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_5155]) ).
tcf(c_143384,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_143110,c_75]) ).
tcf(c_143385,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_143110,c_74]) ).
tcf(c_143386,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_145]) ).
tcf(c_143387,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_84]) ).
tcf(c_143388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_70]) ).
tcf(c_143389,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ( sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_143110,c_76]) ).
tcf(c_143390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_143110,c_68]) ).
tcf(c_143391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_68]) ).
tcf(c_143392,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_98]) ).
tcf(c_143393,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtpldt0(xn,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) != sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_143110,c_77]) ).
tcf(c_143394,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_131741]) ).
tcf(c_143395,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_106145]) ).
tcf(c_143396,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_143110,c_90791]) ).
tcf(c_143397,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_90734]) ).
tcf(c_143398,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xn,xq) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xn,xq),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143110,c_16765]) ).
tcf(c_143583,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) = sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_139383]) ).
tcf(c_143584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_70]) ).
tcf(c_143586,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_75392]) ).
tcf(c_143587,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_24035]) ).
tcf(c_143588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_17825]) ).
tcf(c_143589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_17392]) ).
tcf(c_143590,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_14477]) ).
tcf(c_143591,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_5155]) ).
tcf(c_143594,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139383,c_75]) ).
tcf(c_143595,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139383,c_74]) ).
tcf(c_143596,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_145]) ).
tcf(c_143597,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_84]) ).
tcf(c_143598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_70]) ).
tcf(c_143599,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_139383,c_76]) ).
tcf(c_143600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_139383,c_68]) ).
tcf(c_143601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_68]) ).
tcf(c_143602,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_98]) ).
tcf(c_143603,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) != sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_139383,c_77]) ).
tcf(c_143604,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_131741]) ).
tcf(c_143605,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_106145]) ).
tcf(c_143606,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_139383,c_90791]) ).
tcf(c_143607,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_90734]) ).
tcf(c_143608,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139383,c_16765]) ).
tcf(c_143917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_70]) ).
tcf(c_143919,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_75392]) ).
tcf(c_143920,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_24035]) ).
tcf(c_143921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_17825]) ).
tcf(c_143922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_17392]) ).
tcf(c_143923,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_14477]) ).
tcf(c_143924,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_5155]) ).
tcf(c_143927,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_143583,c_75]) ).
tcf(c_143928,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_143583,c_74]) ).
tcf(c_143929,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_145]) ).
tcf(c_143930,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_84]) ).
tcf(c_143931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_70]) ).
tcf(c_143932,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_143583,c_76]) ).
tcf(c_143933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_143583,c_68]) ).
tcf(c_143934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_68]) ).
tcf(c_143935,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_98]) ).
tcf(c_143936,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) != sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_143583,c_77]) ).
tcf(c_143937,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_131741]) ).
tcf(c_143938,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_106145]) ).
tcf(c_143939,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_143583,c_90791]) ).
tcf(c_143940,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_90734]) ).
tcf(c_143941,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xl,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_143583,c_16765]) ).
tcf(c_144226,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) = sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_131682,c_139385]) ).
tcf(c_144227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_70]) ).
tcf(c_144229,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_75392]) ).
tcf(c_144230,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_24035]) ).
tcf(c_144231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_17825]) ).
tcf(c_144232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_17392]) ).
tcf(c_144233,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_14477]) ).
tcf(c_144234,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_5155]) ).
tcf(c_144237,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139385,c_75]) ).
tcf(c_144238,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_139385,c_74]) ).
tcf(c_144239,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_145]) ).
tcf(c_144240,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_84]) ).
tcf(c_144241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_70]) ).
tcf(c_144242,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_139385,c_76]) ).
tcf(c_144243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))),X0) ),
inference(superposition,[status(thm)],[c_139385,c_68]) ).
tcf(c_144244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_68]) ).
tcf(c_144245,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_98]) ).
tcf(c_144246,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) != sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_139385,c_77]) ).
tcf(c_144247,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_131741]) ).
tcf(c_144248,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_106145]) ).
tcf(c_144249,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))))) ),
inference(superposition,[status(thm)],[c_139385,c_90791]) ).
tcf(c_144250,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_90734]) ).
tcf(c_144251,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(sz00,sK2(xq,xp))))) ),
inference(superposition,[status(thm)],[c_139385,c_16765]) ).
tcf(c_144462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_70]) ).
tcf(c_144464,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_75392]) ).
tcf(c_144465,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sK2(xq,xp),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_24035]) ).
tcf(c_144466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_17825]) ).
tcf(c_144467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_17392]) ).
tcf(c_144468,plain,
( sdtlseqdt0(sK2(xq,xp),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_14477]) ).
tcf(c_144469,plain,
( sdtlseqdt0(sK2(xq,xp),xp)
| sdtlseqdt0(xq,sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_5155]) ).
tcf(c_144472,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_144226,c_75]) ).
tcf(c_144473,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_144226,c_74]) ).
tcf(c_144474,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_145]) ).
tcf(c_144475,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_84]) ).
tcf(c_144476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)),sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))))
| ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),X0)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_70]) ).
tcf(c_144477,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ( sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)) != sdtpldt0(sK2(xq,xp),X0) ) ),
inference(superposition,[status(thm)],[c_144226,c_76]) ).
tcf(c_144478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)),sdtpldt0(sK2(xq,xp),X0))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ~ sdtlseqdt0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))),X0) ),
inference(superposition,[status(thm)],[c_144226,c_68]) ).
tcf(c_144479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2(xq,xp),X0),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ~ sdtlseqdt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_68]) ).
tcf(c_144480,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(X0,sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ~ doDivides0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_98]) ).
tcf(c_144481,plain,
! [X0: $i] :
( ( sK2(xq,xp) = sz00 )
| ( sK2(xq,xp) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ( sdtpldt0(X0,sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) != sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)) ) ),
inference(superposition,[status(thm)],[c_144226,c_77]) ).
tcf(c_144482,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(sz00,sK2(xq,xp)),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) = sK2(sz00,sK2(xq,xp)) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_131741]) ).
tcf(c_144483,plain,
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_106145]) ).
tcf(c_144484,plain,
( sdtlseqdt0(xp,sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xq,sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ~ aNaturalNumber0(sdtpldt0(xq,sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))))) ),
inference(superposition,[status(thm)],[c_144226,c_90791]) ).
tcf(c_144485,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp))))
| ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_90734]) ).
tcf(c_144486,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)),sz00)
| ~ aNaturalNumber0(sK2(sK2(xq,xp),sdtpldt0(sdtasdt0(xm,xn),sK2(xq,xp)))) ),
inference(superposition,[status(thm)],[c_144226,c_16765]) ).
tcf(c_144667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_70]) ).
tcf(c_144668,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_75560]) ).
tcf(c_144669,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_75392]) ).
tcf(c_144670,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_30322,c_24035]) ).
tcf(c_144671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_30322,c_17825]) ).
tcf(c_144672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_30322,c_17392]) ).
tcf(c_144673,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(superposition,[status(thm)],[c_30322,c_14477]) ).
tcf(c_144674,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_5155]) ).
tcf(c_144677,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30322,c_75]) ).
tcf(c_144679,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_145]) ).
tcf(c_144680,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_84]) ).
tcf(c_144681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) ),
inference(superposition,[status(thm)],[c_30322,c_70]) ).
tcf(c_144682,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) ) ),
inference(superposition,[status(thm)],[c_30322,c_76]) ).
tcf(c_144683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_68]) ).
tcf(c_144684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_68]) ).
tcf(c_144685,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(superposition,[status(thm)],[c_30322,c_98]) ).
tcf(c_144686,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xq)))
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_30322,c_77]) ).
tcf(c_144687,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(forward_subsumption_resolution,[status(thm)],[c_144680,c_50,c_30205]) ).
tcf(c_144688,plain,
sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(forward_subsumption_resolution,[status(thm)],[c_144679,c_50,c_30205]) ).
tcf(c_144689,plain,
sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_144677,c_11841,c_50,c_30205]) ).
tcf(c_144690,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp)
| sdtlseqdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144674,c_50,c_30205]) ).
tcf(c_144693,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) != sdtpldt0(X0,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144686,c_50,c_30205]) ).
tcf(c_144697,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144685,c_50,c_30205]) ).
tcf(c_144702,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) != sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144682,c_50,c_30205]) ).
tcf(c_144706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144684,c_50,c_30205]) ).
tcf(c_144711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144683,c_50,c_30205]) ).
tcf(c_144716,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144669,c_50,c_30205]) ).
tcf(c_144721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(X0,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144681,c_50,c_30205]) ).
tcf(c_144726,plain,
( sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144673,c_50,c_30205]) ).
tcf(c_144731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144667,c_50,c_30205]) ).
tcf(c_144736,plain,
( sdtlseqdt0(xq,sK2(xq,xp))
| sdtlseqdt0(sdtpldt0(xl,sdtpldt0(xl,xq)),xp)
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144670,c_50,c_30205]) ).
tcf(c_144742,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))
| sdtlseqdt0(sdtpldt0(xq,sdtpldt0(xl,sdtpldt0(xl,xq))),xp)
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144668,c_50,c_30205]) ).
tcf(c_144748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xq)),X0),sK2(xq,xp))
| ( X0 = xm )
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144672,c_50,c_30205]) ).
tcf(c_144756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xq)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144671,c_50,c_30205]) ).
tcf(c_144771,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) = sz00 )
| ( sdtpldt0(sK2(xq,xp),sK2(sK2(xq,xp),sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sz00,sK2(xq,xp))))) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sz00,sK2(xq,xp))) ) ),
inference(superposition,[status(thm)],[c_144687,c_139334]) ).
tcf(c_144772,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),xm)) = xm ) ),
inference(superposition,[status(thm)],[c_144687,c_112581]) ).
tcf(c_144773,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),xl) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_144687,c_3370]) ).
tcf(c_144774,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_144687,c_3010]) ).
tcf(c_144775,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2785]) ).
tcf(c_144776,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xq) = sdtasdt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2781]) ).
tcf(c_144777,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xp) = sdtasdt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2780]) ).
tcf(c_144778,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) = sK2(xq,xp) )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),sK2(sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),xp)) = xp ) ),
inference(superposition,[status(thm)],[c_144687,c_27869]) ).
tcf(c_144779,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2777]) ).
tcf(c_144780,plain,
( ( sK2(xq,xp) = sz00 )
| ( sdtpldt0(sz00,sK2(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) )
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sK2(xq,xp))) = sK2(xq,xp) ) ),
inference(superposition,[status(thm)],[c_144687,c_13871]) ).
tcf(c_144781,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2776]) ).
tcf(c_144782,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2775]) ).
tcf(c_144783,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2709]) ).
tcf(c_144784,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xq) = sdtpldt0(xq,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2705]) ).
tcf(c_144785,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xp) = sdtpldt0(xp,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2704]) ).
tcf(c_144786,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2701]) ).
tcf(c_144787,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2700]) ).
tcf(c_144788,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),
inference(superposition,[status(thm)],[c_144687,c_2699]) ).
tcf(c_144789,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))),sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_144687,c_79]) ).
tcf(c_144790,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),X1),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),X0)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_144687,c_78]) ).
tcf(c_144791,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),X1),X0) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_144687,c_95]) ).
tcf(c_144792,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),X1),X0) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_144687,c_82]) ).
tcf(c_144793,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),X0),sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_144687,c_152]) ).
tcf(c_144794,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_144687,c_96]) ).
tcf(c_144795,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_144687,c_83]) ).
tcf(c_144796,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sz00,
inference(superposition,[status(thm)],[c_144687,c_94]) ).
tcf(c_144797,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_144687,c_93]) ).
tcf(c_144798,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_144687,c_81]) ).
tcf(c_144799,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xq))),
inference(superposition,[status(thm)],[c_144687,c_80]) ).
tcf(c_145003,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = sz00 )
| ( sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(X0,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3592,c_106]) ).
tcf(c_145004,plain,
! [X0: $i,X1: $i] :
( doDivides0(sdtasdt0(xl,xq),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3592,c_99]) ).
tcf(c_145005,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xq),sK3(sdtasdt0(xl,xq),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3592,c_102]) ).
tcf(c_145006,plain,
( doDivides0(sdtasdt0(xl,xq),xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sz00,sK2(xq,xp))
| ~ doDivides0(sdtasdt0(xl,xq),xq) ),
inference(superposition,[status(thm)],[c_3592,c_4857]) ).
tcf(c_145007,plain,
( doDivides0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ doDivides0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ doDivides0(sz00,sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3592,c_8645]) ).
tcf(c_145008,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xq),sK3(sdtasdt0(xl,xq),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145005,c_2518]) ).
tcf(c_145012,plain,
! [X0: $i,X1: $i] :
( doDivides0(sdtasdt0(xl,xq),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ doDivides0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145004,c_2518]) ).
tcf(c_145018,plain,
( doDivides0(sdtasdt0(xl,xq),xp)
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ doDivides0(sz00,sK2(xq,xp))
| ~ doDivides0(sdtasdt0(xl,xq),xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145006,c_2518]) ).
tcf(c_145023,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xq),sdtsldt0(X0,sdtasdt0(xl,xq))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145003,c_11843,c_2518]) ).
tcf(c_145027,plain,
( doDivides0(sdtasdt0(xl,xq),sK2(xq,xp))
| ( sK2(xq,xp) = sz00 )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ doDivides0(sz00,sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145007,c_2518,c_3488]) ).
tcf(c_145038,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ doDivides0(sdtasdt0(xl,xq),X1)
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_98,c_3596]) ).
tcf(c_145039,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(sdtasdt0(xl,xq),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(sdtasdt0(xl,xq),X0)) ),
inference(superposition,[status(thm)],[c_142,c_3596]) ).
tcf(c_145042,plain,
! [X0: $i] :
( doDivides0(xl,sdtasdt0(sdtasdt0(xl,xq),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtasdt0(xl,xq),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145039,c_2518]) ).
tcf(c_145046,plain,
! [X0: $i,X1: $i] :
( doDivides0(xl,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ doDivides0(sdtasdt0(xl,xq),X1)
| ~ doDivides0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145038,c_2518]) ).
tcf(c_145059,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3696,c_109]) ).
tcf(c_145060,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3696,c_25649]) ).
tcf(c_145065,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_3696,c_110]) ).
tcf(c_145066,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK2(X0,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3696,c_73]) ).
tcf(c_145068,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(xq,xp),xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3696,c_138928]) ).
tcf(c_145072,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(xq,xp),xm) ),
inference(superposition,[status(thm)],[c_3696,c_5910]) ).
tcf(c_145073,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3696,c_26045]) ).
tcf(c_145074,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm) ),
inference(superposition,[status(thm)],[c_3696,c_8679]) ).
tcf(c_145075,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK2(X0,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145066,c_2518]) ).
tcf(c_145079,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145065,c_2518]) ).
tcf(c_145084,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145059,c_2518]) ).
tcf(c_145090,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145072,c_2518]) ).
tcf(c_145095,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm) ),
inference(light_normalisation,[status(thm)],[c_145074,c_2537]) ).
tcf(c_145096,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145095,c_2518]) ).
tcf(c_145102,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(xq,xp),xm)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_145068,c_2537]) ).
tcf(c_145103,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),xm) ),
inference(light_normalisation,[status(thm)],[c_145073,c_2537]) ).
tcf(c_145104,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_145060,c_2537]) ).
tcf(c_145105,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145104,c_2518]) ).
tcf(c_145119,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3898,c_109]) ).
tcf(c_145120,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(superposition,[status(thm)],[c_3898,c_25649]) ).
tcf(c_145125,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(superposition,[status(thm)],[c_3898,c_110]) ).
tcf(c_145126,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK2(X0,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_3898,c_73]) ).
tcf(c_145128,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3898,c_138928]) ).
tcf(c_145132,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(superposition,[status(thm)],[c_3898,c_5910]) ).
tcf(c_145133,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00)
| ~ sdtlseqdt0(sdtpldt0(sz00,sdtasdt0(xl,xq)),sz00) ),
inference(superposition,[status(thm)],[c_3898,c_26045]) ).
tcf(c_145134,plain,
( sdtlseqdt0(sK2(xq,xp),sdtpldt0(sz00,sdtasdt0(xl,xq)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(superposition,[status(thm)],[c_3898,c_8679]) ).
tcf(c_145135,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK2(X0,sdtasdt0(xl,xq))) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145126,c_2518]) ).
tcf(c_145139,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145125,c_2518]) ).
tcf(c_145144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145119,c_2518]) ).
tcf(c_145150,plain,
( sdtlseqdt0(xp,sdtpldt0(xq,sdtasdt0(xl,xq)))
| ( sdtasdt0(xl,xq) = sK2(xq,xp) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ sdtlseqdt0(sK2(xq,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145132,c_2518]) ).
tcf(c_145155,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_145134,c_2537]) ).
tcf(c_145156,plain,
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145155,c_2518]) ).
tcf(c_145162,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sK2(xq,xp))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sK2(xq,xp),sz00)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00) ),
inference(light_normalisation,[status(thm)],[c_145128,c_2537]) ).
tcf(c_145163,plain,
( ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ sdtlseqdt0(sdtasdt0(xl,xq),sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp)))
| ~ sdtlseqdt0(sK2(sz00,sK2(xq,xp)),sz00) ),
inference(light_normalisation,[status(thm)],[c_145133,c_2537]) ).
tcf(c_145164,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(light_normalisation,[status(thm)],[c_145120,c_2537]) ).
tcf(c_145165,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(xq,xp),sdtasdt0(xl,xq))
| sdtlseqdt0(X0,sK2(sz00,sK2(xq,xp)))
| ( sK2(xq,xp) = sz00 )
| ( sK2(sz00,sK2(xq,xp)) = sdtasdt0(xl,xq) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK2(sz00,sK2(xq,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145164,c_2518]) ).
tcf(c_145246,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_145165,c_145164,c_145162,c_145128,c_145120,c_145105,c_145104,c_145102,c_145068,c_145060,c_144799,c_144798,c_144797,c_144796,c_144795,c_144794,c_144793,c_144792,c_144791,c_144790,c_144789,c_144788,c_144787,c_144786,c_144785,c_144784,c_144783,c_144782,c_144781,c_144780,c_144779,c_144778,c_144777,c_144776,c_144775,c_144774,c_144773,c_144772,c_144771,c_144756,c_144748,c_144742,c_144736,c_144731,c_144726,c_144721,c_144716,c_144711,c_144706,c_144702,c_144697,c_144693,c_144690,c_144689,c_144688,c_144687,c_144685,c_144684,c_144683,c_144681,c_144680,c_144679,c_144677,c_144682,c_144686,c_144674,c_144673,c_144672,c_144671,c_144670,c_144669,c_144668,c_144667,c_144486,c_144485,c_144484,c_144483,c_144482,c_144480,c_144479,c_144478,c_144476,c_144475,c_144474,c_144473,c_144472,c_144477,c_144481,c_144469,c_144468,c_144467,c_144466,c_144465,c_144464,c_144462,c_144251,c_144250,c_144249,c_144248,c_144247,c_144245,c_144244,c_144243,c_144241,c_144240,c_144239,c_144238,c_144237,c_144242,c_144246,c_144234,c_144233,c_144232,c_144231,c_144230,c_144229,c_144227,c_144226,c_143941,c_143940,c_143939,c_143938,c_143937,c_143935,c_143934,c_143933,c_143931,c_143930,c_143929,c_143928,c_143927,c_143932,c_143936,c_143924,c_143923,c_143922,c_143921,c_143920,c_143919,c_143917,c_143608,c_143607,c_143606,c_143605,c_143604,c_143602,c_143601,c_143600,c_143598,c_143597,c_143596,c_143595,c_143594,c_143599,c_143603,c_143591,c_143590,c_143589,c_143588,c_143587,c_143586,c_143584,c_143583,c_143398,c_143397,c_143396,c_143395,c_143394,c_143392,c_143391,c_143390,c_143388,c_143387,c_143386,c_143385,c_143384,c_143389,c_143393,c_143381,c_143380,c_143379,c_143378,c_143377,c_143376,c_143374,c_143135,c_143134,c_143133,c_143132,c_143131,c_143129,c_143128,c_143127,c_143125,c_143124,c_143123,c_143122,c_143121,c_143126,c_143130,c_143118,c_143117,c_143116,c_143115,c_143114,c_143113,c_143111,c_143110,c_142875,c_142874,c_142873,c_142872,c_142871,c_142869,c_142868,c_142867,c_142865,c_142864,c_142863,c_142862,c_142861,c_142866,c_142870,c_142858,c_142857,c_142856,c_142855,c_142854,c_142853,c_142851,c_142522,c_142521,c_142520,c_142519,c_142518,c_142516,c_142515,c_142514,c_142512,c_142511,c_142510,c_142509,c_142508,c_142513,c_142517,c_142505,c_142504,c_142503,c_142502,c_142501,c_142500,c_142498,c_142497,c_142468,c_142467,c_142462,c_142458,c_142455,c_142453,c_142452,c_142447,c_142446,c_142435,c_142434,c_142429,c_142425,c_142422,c_142421,c_142420,c_142415,c_142414,c_142403,c_142402,c_142397,c_142393,c_142390,c_142389,c_142388,c_142383,c_142382,c_142375,c_142372,c_142370,c_142369,c_142350,c_142312,c_142306,c_142300,c_142294,c_142289,c_142283,c_142278,c_142276,c_142275,c_142274,c_142272,c_142273,c_142277,c_142258,c_142049,c_142048,c_142047,c_142046,c_142045,c_142043,c_142042,c_142041,c_142039,c_142038,c_142037,c_142036,c_142035,c_142040,c_142044,c_142032,c_142031,c_142030,c_142029,c_142028,c_142027,c_142025,c_141857,c_141856,c_141855,c_141854,c_141853,c_141851,c_141850,c_141849,c_141847,c_141846,c_141845,c_141844,c_141843,c_141848,c_141852,c_141840,c_141839,c_141838,c_141837,c_141836,c_141835,c_141833,c_141832,c_141641,c_141640,c_141639,c_141638,c_141637,c_141635,c_141634,c_141633,c_141631,c_141630,c_141629,c_141628,c_141627,c_141632,c_141636,c_141624,c_141623,c_141622,c_141621,c_141620,c_141619,c_141617,c_141445,c_141444,c_141443,c_141442,c_141441,c_141439,c_141438,c_141437,c_141435,c_141434,c_141433,c_141432,c_141431,c_141436,c_141440,c_141428,c_141427,c_141426,c_141425,c_141424,c_141423,c_141421,c_141420,c_141414,c_141252,c_141251,c_141250,c_141249,c_141248,c_141247,c_141245,c_141244,c_141243,c_141241,c_141240,c_141239,c_141238,c_141237,c_141242,c_141246,c_141234,c_141233,c_141232,c_141231,c_141230,c_141229,c_141227,c_141226,c_141046,c_141045,c_141044,c_141043,c_141042,c_141040,c_141039,c_141038,c_141036,c_141035,c_141034,c_141033,c_141032,c_141037,c_141041,c_141029,c_141028,c_141027,c_141026,c_141025,c_141024,c_141022,c_140794,c_140793,c_140792,c_140791,c_140790,c_140788,c_140787,c_140786,c_140784,c_140783,c_140782,c_140781,c_140780,c_140785,c_140789,c_140777,c_140776,c_140775,c_140774,c_140773,c_140772,c_140770,c_140769,c_140764,c_140604,c_140603,c_140602,c_140601,c_140600,c_140598,c_140597,c_140596,c_140594,c_140593,c_140592,c_140591,c_140590,c_140595,c_140599,c_140587,c_140586,c_140585,c_140584,c_140583,c_140582,c_140580,c_140567,c_140566,c_140561,c_140557,c_140554,c_140553,c_140552,c_140547,c_140546,c_140534,c_140533,c_140530,c_140527,c_140523,c_140521,c_140520,c_140513,c_140512,c_140507,c_140503,c_140500,c_140499,c_140498,c_140493,c_140492,c_140304,c_140303,c_140294,c_140293,c_140285,c_140200,c_140194,c_140188,c_140172,c_140166,c_140161,c_140155,c_140150,c_140145,c_140144,c_140143,c_140142,c_140141,c_140140,c_140139,c_140138,c_140136,c_140135,c_140134,c_140132,c_140131,c_140130,c_140129,c_140128,c_140127,c_140126,c_140125,c_140124,c_140123,c_140121,c_140120,c_140119,c_140117,c_140118,c_140122,c_140103,c_139815,c_139814,c_139813,c_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c_4928,c_4926,c_4917,c_4913,c_4910,c_4909,c_4908,c_4906,c_4897,c_4893,c_4890,c_4889,c_4888,c_4886,c_4857,c_4852,c_4851,c_4850,c_4849,c_4825,c_4745,c_4741,c_4736,c_4731,c_4726,c_4721,c_4716,c_4711,c_4706,c_4702,c_4698,c_4694,c_4690,c_4686,c_4682,c_4678,c_4674,c_4670,c_4666,c_4662,c_4658,c_4654,c_4650,c_4646,c_4642,c_4640,c_4639,c_4638,c_4637,c_4636,c_4635,c_4634,c_4633,c_4632,c_4631,c_4630,c_4629,c_4628,c_4627,c_4626,c_4625,c_4624,c_4623,c_4622,c_4621,c_4620,c_4619,c_4618,c_4617,c_4616,c_4492,c_4488,c_4483,c_4478,c_4473,c_4468,c_4463,c_4458,c_4453,c_4449,c_4445,c_4441,c_4437,c_4433,c_4429,c_4425,c_4421,c_4417,c_4413,c_4409,c_4405,c_4401,c_4397,c_4393,c_4389,c_4387,c_4386,c_4385,c_4384,c_4383,c_4382,c_4381,c_4380,c_4379,c_4378,c_4377,c_4376,c_4375,c_4374,c_4373,c_4372,c_4371,c_4370,c_4369,c_4368,c_4367,c_4366,c_4365,c_4364,c_4363,c_4247,c_4246,c_4245,c_4244,c_4243,c_4242,c_4241,c_4240,c_4239,c_4238,c_4237,c_4236,c_4235,c_4234,c_4225,c_4223,c_4216,c_4213,c_4211,c_4157,c_4153,c_4149,c_4136,c_4133,c_4130,c_4127,c_4124,c_4118,c_4117,c_4107,c_4106,c_4105,c_4104,c_4103,c_4101,c_4099,c_4097,c_4096,c_4095,c_4077,c_4072,c_4069,c_4068,c_4067,c_4053,c_4048,c_4043,c_4038,c_4037,c_4040,c_4022,c_4017,c_4013,c_4011,c_4010,c_4009,c_3985,c_3979,c_3974,c_3970,c_3965,c_3961,c_3960,c_3959,c_3958,c_3956,c_3955,c_3954,c_3944,c_3941,c_3925,c_3921,c_3906,c_3902,c_3898,c_3895,c_3894,c_3893,c_3892,c_3891,c_3888,c_3885,c_3882,c_3864,c_3863,c_3862,c_3771,c_3770,c_3769,c_3768,c_3767,c_3766,c_3765,c_3764,c_3763,c_3762,c_3761,c_3760,c_3759,c_3758,c_3696,c_3691,c_3686,c_3676,c_3672,c_3668,c_3664,c_3660,c_3656,c_3652,c_3648,c_3647,c_3646,c_3645,c_3644,c_3643,c_3642,c_3641,c_3640,c_3639,c_3638,c_3630,c_3626,c_3625,c_3628,c_3596,c_3592,c_3588,c_3584,c_3580,c_3576,c_3572,c_3568,c_3564,c_3560,c_3559,c_3558,c_3557,c_3556,c_3555,c_3554,c_3553,c_3552,c_3551,c_3549,c_3548,c_3535,c_3533,c_3511,c_3507,c_3503,c_3499,c_3495,c_3491,c_3490,c_3489,c_3488,c_3485,c_3462,c_3459,c_3458,c_3457,c_3449,c_3446,c_3445,c_3444,c_3370,c_3351,c_3350,c_3348,c_3347,c_3346,c_3345,c_3344,c_3343,c_3342,c_3341,c_3340,c_3339,c_3338,c_3316,c_3315,c_3312,c_3309,c_3306,c_3303,c_3300,c_3297,c_3295,c_3294,c_3293,c_3292,c_3291,c_3290,c_3289,c_3281,c_3277,c_3276,c_3232,c_3231,c_3230,c_3229,c_3228,c_3227,c_3176,c_3175,c_3174,c_3173,c_3172,c_3171,c_3170,c_3169,c_3168,c_3167,c_3166,c_3165,c_3164,c_3163,c_3162,c_3161,c_3160,c_3159,c_3158,c_3157,c_3156,c_3135,c_3132,c_3116,c_3112,c_3109,c_3108,c_3107,c_3104,c_3055,c_3046,c_3045,c_3044,c_3043,c_3042,c_3041,c_3040,c_3039,c_3036,c_3035,c_3034,c_3033,c_3032,c_3031,c_3030,c_3029,c_3028,c_3027,c_3026,c_3025,c_3024,c_3023,c_3022,c_3021,c_3020,c_3019,c_3018,c_3017,c_3016,c_3015,c_3014,c_3013,c_3012,c_3011,c_3010,c_3009,c_3008,c_3007,c_2996,c_2980,c_2969,c_2953,c_2938,c_2935,c_2932,c_2925,c_2924,c_2923,c_2910,c_2908,c_2907,c_2905,c_2904,c_2902,c_2901,c_2899,c_2856,c_2855,c_2854,c_2853,c_2852,c_2851,c_2786,c_2785,c_2784,c_2783,c_2782,c_2781,c_2780,c_2779,c_2778,c_2777,c_2776,c_2775,c_2710,c_2709,c_2708,c_2707,c_2706,c_2705,c_2704,c_2703,c_2702,c_2701,c_2700,c_2699,c_2668,c_2667,c_2666,c_2665,c_2656,c_2654,c_2649,c_2645,c_2629,c_2628,c_2627,c_2626,c_2625,c_2624,c_2623,c_2622,c_2621,c_2620,c_2619,c_2618,c_2617,c_2616,c_2615,c_2614,c_2613,c_2612,c_2611,c_2610,c_2609,c_2608,c_2607,c_2606,c_2605,c_2604,c_2603,c_2602,c_2601,c_2600,c_2598,c_2591,c_2590,c_2564,c_2563,c_2562,c_2561,c_2541,c_2539,c_2538,c_2537,c_2536,c_2535,c_2518,c_2517,c_2516,c_2515,c_2514,c_2508,c_2500,c_2499,c_2498,c_2497,c_2496,c_2495,c_2494,c_2489,c_2488,c_2487,c_2486,c_2485,c_2484,c_2483,c_2482,c_2476,c_2475,c_2474,c_2473,c_2472,c_2471,c_2470,c_2465,c_2464,c_2463,c_2462,c_2461,c_2460,c_2459,c_2458,c_535,c_534,c_533,c_152,c_145,c_142,c_2599,c_110,c_109,c_108,c_111,c_106,c_105,c_103,c_102,c_101,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_87,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_68,c_66,c_65,c_63,c_62,c_61,c_60,c_59,c_58,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM471+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.36 % Computer : n016.cluster.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.36 % Memory : 8046.5625MB
% 0.02/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Thu Sep 24 04:13:41 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.42
% 0.02/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.42
% 0.02/0.42 % Detected problem language: tptp
% 0.02/0.43 % Proving...
% 96.83/15.91 % SZS status Started for theBenchmark.p
% 96.83/15.91 % SZS status Theorem for theBenchmark.p
% 96.83/15.91
% 96.83/15.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 96.83/15.91
% 96.83/15.91 % ------ iProver source info
% 96.83/15.91
% 96.83/15.91 % git: date: 2026-07-19 20:42:38 +0200
% 96.83/15.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 96.83/15.91 % git: non_committed_changes: false
% 96.83/15.91
% 96.83/15.91 % ------ Parsing...
% 96.83/15.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 96.83/15.91
% 96.83/15.91 % ------ Preprocessing... sup_sim: 3 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 %
% 96.83/15.91
% 96.83/15.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 96.83/15.91
% 96.83/15.91 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 96.83/15.91 % ------ Proving...
% 96.83/15.91 % ------ Problem Properties
% 96.83/15.91
% 96.83/15.91 %
% 96.83/15.91 % clauses 58
% 96.83/15.91 % conjectures 2
% 96.83/15.91 % EPR 16
% 96.83/15.91 % Horn 46
% 96.83/15.91 % unary 18
% 96.83/15.91 % binary 6
% 96.83/15.91 % lits 186
% 96.83/15.91 % lits eq 50
% 96.83/15.91 % fd_pure 0
% 96.83/15.91 % fd_pseudo 0
% 96.83/15.91 % fd_cond 5
% 96.83/15.91 % fd_pseudo_cond 9
% 96.83/15.91 % AC symbols 0
% 96.83/15.91
% 96.83/15.91 % ------ Schedule dynamic 5 is on
% 96.83/15.91
% 96.83/15.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 96.83/15.91
% 96.83/15.91
% 96.83/15.91 % ------
% 96.83/15.91 % Current options:
% 96.83/15.91 % ------
% 96.83/15.91
% 96.83/15.91
% 96.83/15.91 %
% 96.83/15.91
% 96.83/15.91 % ------ Proving...
% 96.83/15.91 %
% 96.83/15.91
% 96.83/15.91 % SZS status Theorem for theBenchmark.p
% 96.83/15.91
% 96.83/15.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 112.84/16.62
% 112.84/16.62
%------------------------------------------------------------------------------